<figure><img src="image_82.png" /></figure>

Conservation Laws and Symmetry Reductions of the Time-fractional modified Hunter–Saxton Equation

**Communication Info**

**Authors:**

Nisrine Maarouf¹

¹ Sultan Moulay Slimane
university, Béni Mellal, Morocco

**Keywords:**

(1) Lie Symmetry analysis

(2) Hunter Saxton equation

(3) Conservation Laws

**Abstract**

We analyze the Time fractional modified Hunter-Saxton equation through the lens of Lie group theory. The Lie point symmetries of the equation are identified, and the corresponding Lie algebra is employed to construct an optimal system of one-dimensional subalgebras. These subalgebras facilitate the reduction of the equation to nonlinear third-order ordinary differential equations. By solving these reduced equations, we obtain exact traveling wave solutions that are invariant under the symmetry transformations. Additionally, we derive a family of nonlocal conservation laws by transforming the dependent variable of the equation.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] K. Hunter and R. Saxton, "Dynamics of director fields," SIAM Journal on Applied Mathematics, vol. 51, no. 6, pp. 1498-1521.

[2] N. H. Ibragimov, A. H. Kara, and F. M. Mahomed, "Lie-Backlund and Noether symmetries with applications," Nonlinear Dynamics, vol. 15, no. 2, pp. 115-136, 1998.

[3] P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York, NY, USA, 2nd edition, 1993.

[4] N. Maarouf, H. Maadan, & K. Hilal, Lie Symmetry Analysis and Explicit Solutions for the Time-Fractional Regularized Long-Wave Equation. International Journal of Differential Equations, 6(1), 2021.

[5] N. Maarouf, & K. Hilal, Invariant Analysis, Analytical Solutions, and Conservation Laws for Two-Dimensional Time Fractional Fokker-Planck Equation. Journal of Function Spaces, 2490392, 2021.
Examining the Impact of Fuel Prices and Inflation on High-
Speed Rail Demand in Morocco: A Predictive Modeling Study

**Communication Info**

**Authors:**

Sanae BAQQASS <fnref n="1" />,<fnref n="4" />
Sokaina EL KHAMLICHI <fnref n="2" />,<fnref n="3" />
Imade BENSAOUD <fnref n="1" />
Abdelhak ZOGLAT <fnref n="1" />
Amine AMAR <fnref n="4" />

**Keywords:**

(1) HSR Demand

(2) Stochastic Modeling

(3) Machine Learning

(3) Grid Search

(3) Predictive Modeling

**Abstract**

This study aims to model and forecast High-Speed Rail (HSR) demand in Morocco, focusing on understanding the relationship between demand, fuel prices, and inflation. The analysis uses time series data from December 2018 to January 2023, which includes monthly observations of HSR demand, fuel basket prices, and inflation rates. The primary objective is to examine the elasticity of HSR demand with respect to fuel prices and inflation and to develop predictive models for future demand.

Various machine learning models, including Support Vector Regression (SVR), Random Forest, XGBoost, and Multilayer Perceptron (MLP), are employed to forecast HSR demand. The dataset is preprocessed with time series transformations, and the data is split into training and testing sets for model evaluation. Hyperparameter tuning is performed using grid search to optimize model performance. The results of this study will contribute to better understanding the factors influencing HSR

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] P.-F. Pai, K.-P. Lin, C.-S. Lin, and P.-T. Chang, "Time series forecasting by a seasonal support vector regression model," Expert Systems with Applications, 37, 4261-4265 (2010).

[2] H. Taud and J. Mas, Multilayer Perceptron (MLP) (Springer International Publishing, Cham, 2018), pp. 451-455.

[3] H. Oukhouya and K. El Himdi, "Comparing machine learning methods—SVR, XGBoost, LSTM, and MLP—for forecasting the Moroccan stock market," in Computer Sciences Mathematics Forum, 7 (MDPI, 2023), p. 39.

[4] S. Lee, C. K. Kim, and D. Kim, "Monitoring volatility change for time series based on support vector regression," Entropy, 22, 1312 (2020).

[5] T. Chen and C. Guestrin, "XGBoost: A scalable tree boosting system," in Proceedings of the 22nd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (2016), pp. 785-794. [3] Authors, Title Journal, Volume, Year, Pages.

<footnote n="1">¹ Mohammed V University,
Rabat, Morocco.</footnote>

<footnote n="2">² Ibn Zohr University, Morocco.</footnote>

<footnote n="3">³ School of Information
Sciences, Rabat, Morocco.</footnote>

<footnote n="4">⁴ School of Science and
Engineering (SSE), Ifrane,
Morocco.</footnote>
Integrating Numerical Methods and
Neural Networks for Solving Shallow
Water Equations

**Communication Info**

**Authors:**

Ismail Oubarka<sup>1,2</sup>
Fayssal Benkhaldoun<sup>2</sup>
Imad Elmahi<sup>1,3</sup>
Eric Deleersnijder<sup>4</sup>

**Keywords:**

(1) SWE

(2) Neural Networks

(3) FVM

(4) Deep Learning

**Abstract**

This research studies the integration of numerical methods and neural networks to solve and predict solutions for shallow water equations (SWE). Using various numerical schemes, we generate high-fidelity data that captures the dynamic behavior of shallow water systems. This data serves as the foundation for training a deep neural network to approximate SWE solutions by learning underlying patterns and predicting future states. Our approach involves generating spatial and temporal training data, training the neural network, and validating its predictions against numerical solutions. The effectiveness of the model is assessed through error calculations and comparative visualizations, demonstrating its ability to capture essential shallow water dynamics. The results highlight the potential of neural networks as powerful tools for approximating complex physical phenomena, offering a promising alternative to traditional numerical methods.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Raissi, M., Perdikaris, P., & Karniadakis, G. E. (2019). Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. *Journal of Computational physics*, 378, 686-707.

[3] Kissami, I. (2024, March). Manapy: an MPI-based Python framework for solving Poisson's equation using finite volume on unstructured-grid. In AIP Conference Proceedings (Vol. 3034, No. 1). AIP Publishing.

[4] Benkhaldoun, F., & Seaïd, M. (2010). A simple finite volume method for the shallow water equations. *Journal of computational and applied mathematics*, 234(1), 58-72.

<footnote n="1"><sup>1</sup> College of Computing,
Mohammed VI Polytechnic
University, Lot 660, Ben
Guerir, 43150, Morocco</footnote>

<footnote n="2"><sup>2</sup> Sorbonne Paris Nord
University, LAGA, 7539,
Villetaneuse, 1348, France</footnote>

<footnote n="3"><sup>3</sup> ENSAO, LMCS,
Mohammed I University,
B.P. 669, Oujda, 60000,
Morocco</footnote>

<footnote n="4"><sup>4</sup>Université Catholique de
Louvain, IMMC and ELI, B-
1348, Louvain-la-Neuve,
1348, Belgium</footnote>
<figure><img src="image_83.png" /></figure>

Stability Analysis of a Reaction-diffusion Fractional-Order SEIR
Model with a Saturated Incidence Rate and vaccination

**Communication**

**Authors:**

Chouaib Bounkaicha¹
Karam Allali¹

¹ Laboratory MCSA, FST
Mohammedia,
University Hassan II,
Mohammedia, Morocco.

**Keywords:**

(1) Global stability

(2) fractional derivative

(3) epidemic mode

(4) saturated incidence function

(5) reaction-diffusion system

**Abstract**

In this work, we present and analyze a reaction-diffusion SEIR model with a time fractional order derivative. The model presents the transmission of the infectious diseases among four compartments (susceptible, exposed, infected and recovered) using fractional-order differential equations (FDE), taking into consideration spatial diffusion in each compartment. To represent the non-linear force of infection, a saturated incidence function was chosen. Our initial approach involves proving the validity of the proposed model by demonstrating existence, uniqueness and boundedness of solutions. Throughout our study, we will examine the basic reproduction number R_0. Next, the global stability of both equilibria was considered using the Lyapunov criterion. Finally, the numerical simulations were conducted to validate the theoretical findings and highlight the impact of vaccination on reducing the severity of infection, as well as the impact of the fractional derivative order on equilibrium stability. It has been demonstrated that the fractional derivative order and has no impact on the stability of the equilibria, but it has a big effect on the rapidity of the convergence toward the steady state. In addition, it was observed that when the diffusion parameters are increased, the pick of infected and exposed individuals also gets maximized.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] M.R. Sidi Ammi, M. Tahiri, M. Tilioua, A. Zeb, I. Khan, M. Andualem, Global analysis of a time fractional order spatio-temporal SIR model. Sci. Rep. 12(1) (2022) 1--13.

[2] C. Bounkaicha, K. Allali, Dynamics of a time fractional order spatio-temporal SIR with vaccination and temporary immunity, Par. Diff. Eq. App. Math. 7 (2023) 100524.

[3] C. Bounkaicha, K. Allali, Y. Tabit, J. Danane, Global dynamic of spatio-temporal fractional ordre SEIR model, math. mod. comp. \bf 10(2) (2023) 299--310.

[4] C. Bounkaicha, K. Allali, Modelling disease spread with spatio-temporal fractional derivative equations and saturated incidence rate, Mod. Ear. Sys. Env. \bf 10(1) (2024) 1--13.
Optimization Algorithms for Real-World Challenges: A
Comparative Analysis of CG, BFGS, and L-BFGS

**Communication Info**

**Authors:**

Mohamed Ziouane¹

Mourad Nachaoui 2

Amine Laghrib ³

Abdeljalil Nachaoui 4

¹,² EMI faculty of sciences and
techniques, Sultan Moulay
Slimane University, Beni Mellal,
Morocco

³ LIPIM, ENSA Khouribga,
Sultan Moulay Slimane
University, Khouribga, Morocco

⁴ Jean Leray Mathematics
Laboratory UMR6626 CNRS,
Nantes University 2, Nantes,
France

**Abstract**

Optimization algorithms are critical tools in various scientific, engineering, and economic applications. This work focuses on numerical optimization techniques, with particular attention to the efficiency and performance of three widely used methods: Conjugate Gradient (CG), Broyden-Fletcher-Goldfarb-Shanno (BFGS), and Limited-memory BFGS (L-BFGS). These algorithms are well-established in optimization theory and are applied to a variety of problems, particularly those arising from inverse problems or ill-conditioned systems. Inverse problems, often encountered in fields such as signal processing, image reconstruction, and parameter estimation, are characterized by the difficulty of deriving input parameters from observed outputs. This typically leads to optimization tasks involving noisy, incomplete, or unreliable data. Additionally, ill-conditioned problems are those where small perturbations in the input data can lead to large variations in the output, requiring specialized algorithms to ensure numerical stability and convergence.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

Nachaoui, M., Nachaoui, A., Tadumadze, T.: On the numerical approximation of some inverse problems governed by nonlinear delay differential equation. RAIRO-Operations Research 56(3), 1553–1569 (2022)

Yang, Y.: A robust bfgs algorithm for unconstrained nonlinear optimization problems. Optimization 73(3), 851–873 (2024)

Mannel, F.: A globalization of l-bfgs for nonconvex unconstrained optimization. arXiv preprint arXiv:2401.03805 (2024)

Afraites, L., Hadri, A., Laghrib, A., Nachaoui, M.: A weighted parameter identification pde-constrained optimization for inverse image denoising problem. The Visual Computer 38(8), 2883–2898 (2022)

Berdawood, K.A., Nachaoui, A., Nachaoui, M.: An accelerated alternating iterative algorithm for data completion problems connected with helmholtz equation. Statistics, Optimization & Information Computing 11(1), 2–21 (2023)
Hybrid MLP-XGBoost Model for Bitcoin Price Prediction

**Communication Info**

**Authors:**

Hanae El fahfouhi¹

Zakariae En-Naimani²

Khalid Haddouch¹

¹ Laboratory of Applied Sciences and Emerging Technologies, Sidi Mohamed Ben Abdellah University, Fez, Morocco.

² Laboratory Computer Science, Artificial Intelligence and Cyber Security (2IACS), University of Hassan II Casablanca, Mohammedia, Morocco.

**Keywords:**

(1) Time series Prediction

(2) Multi-Layer Perceptron

(3) XGBoost

**Abstract**

This paper addresses the challenges posed by Bitcoin price volatility by proposing a novel hybrid modeling approach that combines Multi-Layer Perceptron (MLP) and XGBoost. Given the highly dynamic nature of Bitcoin's daily closing prices [1], we preprocess historical data and systematically evaluate our model against standard implementations of MLP, Long Short-Term Memory (LSTM), and Recurrent Neural Network (RNN). Our approach integrates the strengths of deep learning and ensemble learning: the MLP model effectively captures linear dependencies through its layered structure [2], while XGBoost, a powerful gradient boosting framework, excels in identifying intricate nonlinear patterns [3],[4]. The hybridization of these models results in superior predictive accuracy, measured by Mean Absolute Error (MAE) and Root Mean Squared Error (RMSE). Our findings highlight the effectiveness of model hybridization in financial forecasting and demonstrating improved forecasting accuracy for daily Bitcoin prices.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Bontempi, G., Taieb, S. B., & Le Borgne, Y. A., "Machine Learning Strategies for Time Series Forecasting," International Journal of Forecasting, Volume 28, Year 2012, Pages 416-437.

[2] Chen, S. A., Li, C. L., Yoder, N., Arik, S. O., & Pfister, T, Tsmixer: An all-mlp architecture for time series forecasting. arXiv preprint arXiv: 2303.06053, Year 2023.

[3] Hussnain, M., & Durrani, M., "A Novel Hybrid Model Based on LSTM and XGBoost for Time Series Forecasting," Information Sciences, Volume 534, Year 2020, Pages 45-58.

[4] Gupta, R., & Kaur, M., "Forecasting Cryptocurrency Prices Using LSTM and XGBoost," Journal of Risk and Financial Management, Volume 14, Year 2021, Pages 305.
<figure><img src="image_84.png" /></figure>

# EEFQIO: A hybrid meta-heuristic optimization algorithm for global optimization

## Communication Info

**Authors:**

Imad EL KARKRI¹

Abdelghni LAKEHAL²

¹ Polydisciplinary Faculty
LaracheAbdelmalek Essaadi
University, MAE2D, Larache,
92000, Morocco

² Polydisciplinary Faculty
LaracheAbdelmalek Essaadi
University, MAE2D, Larache,
92000, Morocco

**Keywords:**

(1) Optimization

(2) Metaheuristics

(3) Swarm intelligence

## Abstract

Electric Eel Foraging Optimization (EEFO) [1] is a novel meta-heuristic algorithm inspired by the group foraging behaviors of electric eels. While EEFO exhibits strong global search ability, its slow convergence limits practical use. Quadratic Interpolation Optimization (QIO) [2], based on the generalized quadratic interpolation method, offers fast convergence but often falls into local optima. To address these limitations, a hybrid algorithm, EEFQIO, combining EEFO and QIO, is proposed. EEFQIO is tested on 12 benchmark functions from the CEC 2022 suite [3] and compared with established metaheuristics. Results show that EEFQIO combines the global search ability of EEFO with the fast convergence of QIO, outperforming other algorithms in solution quality and computational efficiency.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Zhao, W., Wang, L., Zhang, Z., Fan, H., Zhang, J., Mirjalili, S., ... & Cao, Q. (2024). Electric eel foraging optimization: A new bio-inspired optimizer for engineering applications. *Expert systems with applications*, **238**, 122200.

[2] Zhao, W., Wang, L., Zhang, Z., Mirjalili, S., Khodadadi, N., & Ge, Q. (2023). Quadratic Interpolation Optimization (QIO): A new optimization algorithm based on generalized quadratic interpolation and its applications to real-world engineering problems. *Computer Methods in Applied Mechanics and Engineering*, **417**, 116446.

[3] Yazdani, D., Branke, J., Omidvar, M.N., Li, X., Li, C., Mavrovouniotis, M., Nguyen, T., Yao, X.: IEEE CEC 2022 competition on dynamic optimization problems generated by generalized moving peaks benchmark (2021)
THE CONTROLLABILITY OF LINEAR FRACTIONAL DELAY
DENAMICAL SYSTEMS

Communication Info

Authors:

Wadli Ghandor 1

Ahmed Aberqi 2

Touria Karite 3

¹ Mathematical Analysis and Applications Laborator, Department of Mathematical, Faculty of Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco,
² Mathematical Analysis and Applications Laborator, Department of Mathematical, Faculty of Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco,
³ National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Avenue My Abdallah, Fez BP 72, Morocco.

Abstract

The authors of the most recent work [1] addressed the problem of relative controllability and provided an explicit representation of solutions using the delayed Mittag-Leffler function. Similarly, Li and Wang [2] used an explicit solution formula to discuss the controllability criteria of a fractional differential system with state delay. Nawaz, M., Wei, J. and Jiale, S. [3] discussed the controllability of fractional differential system with state and control delay by using Caputo fractional derivative. Inspired by following this study, in this research, we examine the controllability of linear fractional differential control systems with delays in both state and control by using Riemann-Liouville fractional derivatives. Utilizing an explicit solution formula, we establish a rank criterion for controllability. We provide necessary and sufficient conditions for the controllability of these fractional differential systems. Finally, a numerical example is presented to illustrate and support the findings.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] Dibl Ak, J., Khusainov, D.Ya., Luk Aı̇Ecov Aı, J. (2010); Control of oscillating systems with a single delay. Adv. Differ. Equ. 2010, Article ID 108218

[2] Nawaz, M., Wei, J. & Jiale, S. (2020); The controllability of fractional differential system with state and control delay. Adv Differ Equ 2020, 30.

[3] Lian, T., Fan, Z. & Li, G. (2018); Time optimal controls for fractional differential systems with Riemann-Liouville derivatives. FCAA 21, 1524a1541.

[4] Relative controllability in fractional differential equations with pure delay.}*} ; \mathit{Math. Methods Appl. Sci.} 41(18), 8906–8914 (2018)
Exchange rate pass-through in Morocco: A
Markov Switching Analysis

**Communication Info**

**Authors:**
Yassine EL-ALOUY
Ayad EL BAZ

*National School of Commerce*
*and Management, Chouaib Doukkali University, El Jadida, Morocco*

**Keywords:**

(1) Exchange rate pass-through

(2) Markov Switching model

(3) Inflation

**Abstract**

This study investigates the exchange rate pass-through (ERPT) to the Consumer Price Index (CPI) in Morocco using quarterly data from 2003Q1 to 2022Q4. A Markov Regime Switching model is employed to analyze the dynamic nature of the ERPT under varying economic conditions. Furthermore, an Autoregressive (AR) model is utilized to forecast CPI inflation and assess its potential impact on the feasibility of adopting an inflation-targeting regime. Results indicate that the exchange rate acts as a shock absorber, likely due to the ±5% flexibility band within the current exchange rate regime. The estimated long-run ERPT coefficient is -1.32, suggesting an inverse relationship between exchange rate fluctuations and CPI. CPI forecasts from 2023Q1 to 2024Q1 predict a declining trend of approximately 0.49%, attributed to external factors, specifically imported inflation.

The findings suggest that, under the current exchange rate regime and observed ERPT dynamics, certain preconditions for a successful transition to a full-fledged inflation-targeting regime may not be fully satisfied.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Baele, L., Bekaert, G., Cho, S., Inghelbrecht, K., and Moreno, A. (2015). Macroeconomic regimes. Journal of Monetary Economics, 70:51–71.

[2] Baharumshah, A. Z., Soon, S.-V., and Wohar, M. E. (2017). Markov-switching analysis of exchange rate pass-through: Perspective from asian countries. International Review of Economics & Finance, 51:245–257.

[3] Bilgili, F., Ünlü, F., Gençoğlu, P., and Kuşkaya, S. (2022). Modeling the exchange rate pass-through in turkey with uncertainty and geopolitical risk: a markov regime-switching approach. Applied Economic Analysis, 30(88):52–70.

[4] Hayat, A. and Katz, P. (2019). Investigating the presence of a nonlinear exchange rate pass-through: A markov switching model approach. Journal of Advances in Economics and Finance, 4(1):29–37

[5] Huseyin, O. and KUTLU, M. (2022). Revisiting the exchange rate pass-through in turkey economy: evidence from structural var model. International Journal of Contemporary Economics and Administrative Sciences, 12(2):732–747.
Predicting Stock Market Volatility with LSTM Models

**Communication Info**

**Authors:**

Zahnaoui ibtissam<fnref n="1" />

El boujaoui hicham <fnref n="2" />

**Keywords:**

(1) Volatility Forecasting

(2) LSTM

(3) ANN,GARCH

**Abstract**

This study focuses on predicting stock market volatility using machine learning techniques, specifically Long Short-Term Memory (LSTM) networks. The main goal is to compare the performance of LSTM and EGARCH-LSTM models using major stock indices like the S&P 500, NASDAQ, and Dow Jones from January 2012 to January 2023. LSTM models are used because they can capture long-term patterns in time series data. The EGARCH-LSTM model combines the EGARCH (Exponential Generalized Autoregressive Conditional Heteroskedasticity) model with LSTM to better handle both volatility and time dependencies. The models are evaluated using Root Mean Squared Error (RMSE) and Mean Absolute Error (MAE) to measure their prediction accuracy. The results show that the EGARCH-LSTM model performs better in predicting volatility than the LSTM model alone. This study adds to the growing use of machine learning in financial markets, especially for forecasting volatility (Chen et al., 2020; Zhang et al., 2018; Lee et al., 2021).

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] H Chen, J., Zhang, Y., & Liu, X. (2020). Stock Market Volatility Forecasting Using Machine Learning Models: A Comprehensive Review. Journal of Financial Data Science, 4(3), 150-168.

[2] Zhang, W., Zhao, L., & Zhang, X. (2018). Hybrid Model for Stock Market Volatility Forecasting: Combining EGARCH and LSTM. Computational Economics, 52(2), 295-313.

[3] Lee, H., Park, Y., & Lee, S. (2021). Forecasting Volatility in Financial Markets Using Deep Learning Approaches. Journal of Financial Technology, 6(1), 42-59.

<figure><img src="image_85.png" /></figure>

<footnote n="1">¹ ENSA, Agadir, Morocco</footnote>

<footnote n="2">² ENSA, Agadir, Morocco</footnote>
<figure><img src="image_86.png" /></figure>

Existence and Ulam-Hyers Stability of mild solutions for a
class the hybrid fractional ψ-Caputo

**Communication Info**

**Authors:**

HAYAT MALGHI<fnref n="1" />

Khalid Hilal<fnref n="2" />

Abdelaziz Qaffou<fnref n="3" />,⁴

**Keywords:**

(1) cosine and sine family
operators,

(2) phi-caputo fractional
derivatives,

(3) hybrid fractional
evolution equation

**Abstract**

This study investigates the existence,
uniqueness, and Ulam-Hyers stability of a class
of hybrid φ-Caputo time-fractional systems of
order δ in the range (1,2]. By leveraging well-
established fixed-point theorems, we establish
rigorous conditions under which solutions exist
and are unique. Furthermore, we analyze four
distinct types of Ulam-Hyers stability to provide
a comprehensive understanding of the stability
behavior of the proposed fractional systems. To
illustrate the applicability and effectiveness of
our theoretical findings, we present a concrete
example demonstrating the validity of the
obtained results.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] R. Almeida, A Caputo fractional derivative of a function with respect to another function. Communications in Nonlinear Science and Numerical Simulation, 44(2017), 460-481.

[2] F. arad, , T.Abdeljawad, Generalized fractional derivatives and Laplace transform. Discrete and continuous dunamical systems series S,13(3) (2020), 709-722.

[3] R.P. Agarwal, Y. Zhou, J. Wang and X. Luo. Fractional functional differential equations with causal operators in Banach spaces. Mathematical and Compututer Modelling. 54 (2011) 1440--1452.

[4] Yong Zhou, FengJiao, Jing Li, Existence and uniqueness for p-type fractional neutral differential equations, Nonlinear Anal. 71 (2009) 2724-2733.

<footnote n="1">¹LMACS, Sultan Molay Slimane
University, Beni Mallal, Morocco</footnote>

<footnote n="2">² LMACS, Sultan Molay Slimane
University, Beni Mallal, Morocco</footnote>

<footnote n="3">³ LMACS, Sultan Molay Slimane
University, Beni Mallal, Morocco</footnote>
Fractional powers of Hankel transform in
Colombeau algebra

**Communication Info**

**Authors:**

Latifa El BEZDAOUI¹

Mhamed ELOMARI ¹

Lalla Saadia CHADLI ¹

¹ Laboratory of Applied
Mathematics and Scientific
Computing,
Sultan Moulay Slimane
University, 23000, Beni Mellal,
Morocco.

**Keywords:**

(1) fractional Hankel
transform

(2) generalized functions

(3) Colombeau algebra

**Abstract**

In this communication, we introduce the fractional powers of Hankel transform for a new class of generalized functions within the Colombeau algebra. We also establish the key properties of this transform within this framework. To demonstrate the theoretical results and highlight the importance of incorporating this transform into Colombeau algebra, we apply it to solve partial differential equations involving Kepinski type operators.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1]J. J. Betancor and Lourdes Rodriguez-Mesa, "Hankel Transformation of Colombeau Type Tempered Generalized Functions", Journal of Mathematical Analysis and Applications 217, (1998), 293-320.

[2] J. F. Colombeau, "Elementary Introduction to New Generalized Functions", North Holland, Amsterdam, 1985.

[3] J. F. Colombeau, "New Generalized Functions and Multiplication of Distributions", North Holland, (1983).

[4] L. El Bezdaoui, A. Taqbibt, M. Elomari, L.S. Chadli, "Fractional Hankel transform of generalized function", Filomat 38:5, (2024),1877-1886.

[5] V. Namias, "Fractionalization of Hankel transform", J. Inst. Math. Appl. Vol. 26,(1980), pp. 187-197.
# A modeling approach to assess the effect of contact tracing on epidemic dynamics

**Communication Info**

**Authors:**

Khalid ERRAMI¹

Aziz OUHINOU ¹

¹ University of Sultan Moulay Slimane, Beni Mellal, Morocco

**Keywords:**

(1) Mathematical epidemiology

(2) Contact tracing

(3) Delay differential equations (DDEs)

**Abstract**

In this work, we aim to develop a new mathematical model for contact tracing, with a more realistic and advanced approach to describe its effect on disease dynamics. For this purpose, we begin with an SIR model and incorporate the detection of infectious individuals, along with the screening and monitoring of their contacts. We formulate the effective reproduction number (Re) in terms of the basic reproduction number (R0) and the reproduction number of monitored individuals (Rm) using the next generation approach described in [1]. We show the effect of different parameters related to detection, tracing, and monitoring on Re. We conclude our work with a discussion of all the obtained results.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Driesshe, P., Watmough, J., Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180, 2002, 29-48.
Common recurrent vectors

**Communication Info**

**Authors:**

Fatima-ezzahra SADEK ¹
Mohamed AMOUCH ¹

¹ Chouaib Doukkali University,
El jadida, Morocco

**Keywords:**

(1) Recurrent vectors

(2) Recurrent operators

(3) Hypercyclicity

**Abstract**

Recurrence is one of the fundamental concepts in the theory of dynamical systems. Its study was first initiated by H. Poincaré with the Poincaré recurrence theorem [5]. In 2012, this notion was studied systematically in linear dynamics in two fundamental papers by G. Costakis et al. in [3,4]. According to these works, an operator *T* is said to be recurrent if for each non-empty open set *U*, there exists a positive integer *n* such that *T*<sup>*n*</sup>(*U*) ∩ *U* ≠ ∅. A vector *x* is called recurrent for *T* if there exists a strictly increasing sequence of positive integers (*n*<sub>*k*</sub>)<sub>*k*</sub> such that *T*<sup>*n*<sub>*k*</sub></sup>*x* → *x* as *k* → ∞. For a deeper understanding of recurrence, see [1,2].

In this work, we investigate the existence of common recurrent vectors for families of recurrent operators. We show that, contrary to the case of countable families, there may not always exist a common recurrent vector for an arbitrary uncountable family of recurrent operators. Furthermore, we provide several characterizations of the set of common recurrent vectors.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Bayart, F., & Matheron, É. *Dynamics of linear operators*. Cambridge university press, No. 179, 2009.

[2] Bonilla, A., Grosse-Erdmann, K. G., López-Martínez, A., & Peris, A., Frequently recurrent operators. *Journal of Functional Analysis*, **283**(12), 2022, 109713.

[3] Costakis, G., Manoussos, A., & Parissis, I., Recurrent linear operators. *Complex Analysis and Operator Theory*, **8**, 2014, 1601-1643.

[4] Costakis, G., & Parissis, I, Szemerédi's theorem, frequent hypercyclicity and multiple recurrence.
*Mathematica Scandinavica*, 2012, 251-272.

[5] Poincaré, H., Sur le problème des trois corps et les équations de la dynamique. *Acta mathematica*, **13**(1), 1890, A3-A270.
# Solving the biharmonic problem using isogeometric analysis over multipatch domain

## Communication Info

**Authors:**

Lahcen El OUADEFLI¹

Abdeslam El AKKAD¹,²

Ahmed ELKHALFI¹

¹Al Idrissi Laboratory for Research in Science and Engineering, Faculty of Sciences and Techniques, Sidi Mohammed Ben Abdellah Uneversity, B.P. 2202 Route Imouzzer, Fes, 30000, Morocco.

²Département de Mathématiques, Centre Régional des Métiers d'Éducation et de Formation de Fès-Meknès (CRMEF Fès-Meknès), Rue de Koweit 49, Ville Nouvelle, Fes, 30050, Morocco.

**Keywords:**

(1) Biharmonic problem,

(2) Isogeometric analysis,

(3) Multipatch domains.

## Abstract

The biharmonic problem arises in various engineering and physics applications, particularly in elasticity and fluid mechanics. Traditional finite element methods (FEM) face challenges in accurately representing complex geometries and ensuring $C^1$-continuity, which is essential for solving fourth-order partial differential equations. In this talk, we employ Isogeometric Analysis (IGA) to solve the biharmonic problem over multipatch domains. IGA, based on Non-Uniform Rational B-Splines (NURBS), naturally provides higher-order smoothness, making it well-suited for biharmonic problems. We discuss the construction of suitable function spaces, the enforcement of inter-patch continuity, and the numerical implementation in a MATLAB framework. Several benchmark examples demonstrate the accuracy and efficiency of the proposed approach.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] J.A. Cottrell, T.J.R. Hughes, Y. Bazilevs, Isogeometric Analysis: Toward Integration of CAD and FEA, John Wiley & Sons, Chichester, England, 2009.

[2] T.J.R. Hughes, G. Sangalli, T. Takacs, D. Toshniwal, Smooth multi-patch discretizations in isogeometric analysis. In: *Handbook of Numerical Analysis*. Elsevier, 2021, 467-543.

[3] R. Vázquez, A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0, Computers & Mathematics with Applications, Volume 72, Issue 3, 2016, 523-554.

[4] M. Kapl, A. Kosmač, & V. Vitrih, Isogeometric collocation for solving the biharmonic equation over planar multi-patch domains. *Computer Methods in Applied Mechanics and Engineering*, 424, 2024, 116882.
<figure><img src="image_87.png" /></figure>

An explicit three-term Polak-Ribière-Polyak conjugate gradient method for bicriteria optimization

**Communication Info**

**Authors:**

Youssef ELBOULQE¹

Mounir EL MAGHRI 2

¹ Faculty of Sciences
Semlalia, Cadi Ayyad
University, Marrakech,
Morocco.

² Faculty of Sciences Ain
Chock, Hassan II University,
Casablanca, Morocco.

**Keywords:**

(1) Multicriteria optimization

(2) Pareto optimality

(3) Pareto critical point

(4) Descent directions

(5) Line search

(6) PRP conjugate gradient
method

**Abstract**

In this work we propose a three-term Polak-Ribière-Polyak conjugate gradient method for bicriteria optimization without using any scalarization technique. Three advantages are to be noted for this new method. First, the descent directions are given explicitly and can then be directly computed. Second, the descent property is sufficient independently of the line search. Third, without Lipschitz continuity hypothesis and under only an Armijo type condition, global convergence towards Pareto stationary points is proved. Numerical experiments including comparisons with other methods are also reported.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Ehrgott, M., *Multicriteria Optimization*. Berlin: Springer, 2005.

[2] Elboulqe, Y. & El Maghri, M., *An explicit three-term Polak-Ribière-Polyak conjugate gradient method for bicriteria optimization*, Operations Research Letters, 57, 2024, 107195.

[3] Elboulqe, Y. & El Maghri, M., *An explicit spectral Fletcher-Reeves conjugate gradient method for bi-criteria optimization*, IMA Journal of Numerical Analysis, 45, 2025, 223-242.

[4] Nocedal, J. & Wright, S. J., *Numerical Optimization*, New York: Springer, 2006.
**Communication Info**

**Authors:**

Hajar Fatih
Sara Elouadi

¹ FSJESAS, UHII,
Casablanca, Maroc

**Keywords:**

Salam
Banques participatives
TPME
Régression logistique

**Abstract**

L'article examine la réticence des banques participatives marocaines à financer les TPME, en se concentrant sur le produit Salam comme alternative pour le fonds de roulement. La partie théorique analyse les obstacles structurels, réglementaires et culturels freinant son adoption, ainsi que les perceptions des TPME face à ce mode de financement. L'étude empirique, basée sur une régression logistique, identifie les facteurs influençant l'acceptation du Salam, tant du côté des entreprises que des banques. Les résultats visent à proposer des recommandations pour améliorer l'accessibilité au financement participatif des TPME.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

[1] Ahmad, N., & Haron, S. (2002). Perceptions of Malaysian Corporate Customers Towards Islamic Banking Products and Services. International Journal of Islamic Finance Services, 3(1), 13-29.

[2] Ajzen, I. (1975). The Theory of Planned Behaviour. Organizational Behaviour and Human Decision Processes, 50, 179-211

[3] Akinci, S., Kaynak, E., Atilgan, E., & Aksoy, S. (2007). Where does the logistic regression analysis stand in marketing literature? A comparison of the market positioning of prominent marketing journals. European Journal of Marketing, 41(5/6), 537-567.

[4] Khan, T. (1995). Demand for and supply of mark-up and PLS funds in Islamic banking: Some alternative explanations. Islamic Economic Studies, 3(1), 39-78.
Etude de la relation non linéaire entre
l'incertitude liée à l'inflation et l'inflation : Cas du
Maroc

**Communication Info**

**Authors:**

Maarouf Mourad¹

¹ Cadi Ayyad University,
Marrakech, Morocco

**Keywords:**

(1) inflation uncertainty

(2) inflation

(3) non linearity

(4) changement de regime
markovien

**Abstract**

Ce travail explore la relation entre l'inflation liée à l'inflation et l'inflation [1], [2] tout en adoptant une non linéarité dans la dynamique de cette association. Notre recherche vise à capturer cette non linéarité dans le comportement de la moyenne et la variance conditionnelle tout en adoptant un configuration économique ARFIMA-EGARCH-M[3] intégré dans un modèle à changement de régime markovien[4]. Notre objectif consiste à montrer d'une part, la prévalence d'un phénomène de persistance des chocs dans le comportement de l'inflation, d'autre part, le comportement asymétrique de l'incertitude liée à l'inflation. Cette modélisation offre des dynamiques structurelles sous-jacentes, permettant d'identifier le comportement de la relation entre l'incertitude inflationniste et l'inflation en fonction des différents régimes de la volatilité de l'inflation.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] C.W.J. Granger, Long memory relationships and the aggregation of dynamic models, Journal of Econometrics, Volume 14, Issue 2, Pages 227-238.

[2] Ball, L. 1990. "Why Does High Inflation Raise Inflation Uncertainty?" Working Paper 3224. Cambridge, Mass.: National Bureau of Economic Research (January)..

[3] Nelson, D. B. Conditional Heteroscedasticity of Asset Returns. A new Approach. Econometrica, 1991; 59, 347 - 370

[4] Hamilton, J. D., 1996, "Specification Testing in Markov-Switching Time-Series Models", Journal of Econometrics, 70, 127-157.
**Communication Info**

**Authors:**

Ismail Sadouki¹
Ali El Mfadel ²
Abdelaziz Qaffou ³

¹ LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco

² LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco

³ LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco

**Keywords:**

(1) Approximate Controllability

(2) Control Systems

(3) Control Systems

**Abstract**

This paper investigates the approximate controllability of semilinear fractional control systems of order $\beta \in (1, 2)$ with infinite delay, a class of systems that captures the dynamics of various real-world phenomena with memory and hereditary properties. Using the advanced theory of strongly continuous $\beta$-order cosine families and the sequence method, we establish sufficient novel conditions for approximate controllability. The analysis accounts for the combined challenges of fractional dynamics, nonlinearities, and infinite delays, providing a robust framework for understanding and controlling such systems. The results are illustrated through a practical example that demonstrates their applicability and effectiveness. This study not only extends the existing theoretical foundation of fractional control systems but also opens new pathways for addressing complex control problems in science and engineering.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] R. Almeida, A.B. Malinowska, & M.T.T. Monteiro, *Fractional differential equations with a Caputo derivative concerning a kernel function and their applications*, **Mathematical Methods in the Applied Sciences**, **41**(1), 2018, pp. 336-352.

[2] A. El Mfadel, S. Melliani, & M. Elomari, *Existence results for nonlocal Cauchy problem of nonlinear $\psi$-Caputo type fractional differential equations via topological degree methods*, **Advances in the Theory of Nonlinear Analysis and its Application**, **6**(2), 2022, pp. 270-279.

[3] D. Baleanu, A.N. Ranjbar, S.J.R. Sadati, H. Delavari, T. Abdeljawad, & V. Gejji, *Lyapunov-Krasovskii stability theorem for fractional systems with delay*, **Romanian Journal of Physics**, **56**(5-6), 2011, pp. 636-643.

[4] A. El Mfadel, S. Melliani, & M. Elomari, *Existence of solutions for nonlinear $\psi$-Caputo-type fractional hybrid differential equations with periodic boundary conditions*, **Asia Pacific Journal of Mathematics**, 2022.

[5] Z. Yan, *Controllability of fractional-order partial neutral functional integrodifferential inclusions with infinite delay*, **Journal of the Franklin Institute**, **348**, 2011, pp. 2156-2173.
**Communication Info**

**Authors:**

Khadija Elhakimy¹

Ali El Mfadel ²

Said Melliani ³

¹ LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco

² LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco

³ LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco

**Keywords:**

(1) uncertain fractional
differential equations

(2) Krasnosel'skii fixed
point theorem

(3) fuzzy metric spaces

**Abstract**

In this study, we explore the existence of solutions for a class of uncertain fractional differential equations involving nonlocal derivatives. Our approach relies on an extended version of Krasnosel'skii's fixed point theorem within fuzzy metric spaces. By applying this theorem, we establish the existence of a fuzzy solution defined over a specific interval. Additionally, we examine a related integral problem, which allows us to effectively apply the proposed mathematical tools. Finally, we conclude with some physical motivations.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] R. Alikhani & F. Bahrami, *Global solutions for nonlinear fuzzy fractional integral and integrodifferential equations*, **Communications in Nonlinear Science and Numerical Simulation**, **18**, 2013, pp. 2007–2017.

[2] I. Airou, A. El Mfadel, & E. Mhamed, *Existence of mild solutions for fuzzy fractional evolution equations via Krasnosel'skii fixed point theorem*, **Sahand Communications in Mathematical Analysis**, 2024.

[3] R.P. Agarwal, D. Baleanu, J.J. Nieto, D.F. Torres, & Y. Zhou, *A survey on fuzzy fractional differential and optimal control nonlocal evolution equations*, **Journal of Computational and Applied Mathematics**, **339**, 2017, pp. 3–29.

[4] A. El Mfadel, S. Melliani, & M. Elomari, *Existence of solutions for nonlinear ψ-Caputo-type fractional hybrid differential equations with periodic boundary conditions*, **Asia Pacific Journal of Mathematics**, 2022.

[5] K. Eiman, M. Shah, D. Sarwar, & D. Baleanu, *Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations*, **Advances in Differential Equations**, 2020.
Hausdorff type operators and wavelet transform
associated with the modified Whittaker

**Communication Info**

Authors:

Yassine Fantasse¹

Abdellatif Akhlidj¹

Fethi Soltani²

¹Laboratory of Fundamental and Applied Mathematics, Department of Mathematics, Faculty of Sciences Ain Chock, University Hassan II, Casablanca, Morocco

²Faculté des Sciences de Tunis, Laboratoire d'Analyse Mathématique et Applications, LR11ES11, Université de Tunis El Manar;c Ecole Nationale d'Ingénieurs de Carthage, Université de Carthage, Tunis, Tunisia

Keywords:

(1) Mehler–Fock transform

(2) Localization operators

(3) Scalogram

**Abstract**

In the present paper, we introduce the Hausdorff type operators associated with the Whittaker operator where and we prove the boundedness of these operators in space. We investigate continuous Whittaker wavelet transformation and obtain some useful results. The relation between Whittaker wavelet transforms and the Hausdorff type operators here is also established. The properties of the adjoint of the Hausdorff type operators are discussed.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1]. Berezin, F.A.: Wick and anti-Wick symbols of operators. Mat. Sb. N.S. 86(128), 578–610 (1971)

[2]. Boggess, A., Narcowich, F.J.: A First Course in Wavelets with Fourier Analysis. Wiley, New York (2009)

[3]. Catanâ, V.: Schatten-von Neumann norm inequalities for two-wavelet localization operators. Fields Inst. Commun. 52, 265–278 (2007).

[4]. Chui, C.K.: An Introduction to Wavelets. Academic Press, New York (1992)
<figure><img src="image_88.png" /></figure>

# Transmission of Pathogens among species
- A mathematical version -

**Communication Info**

**Authors:**

SANNAKY Ibtissam<fnref n="1" />

EL BERRAI Imane <fnref n="1" />

ADNAOUI Khalid<fnref n="1" />

**Keywords:**

(1) Mathematical modeling

(2) Pathogens

(3) Epidemiology

**Abstract**

In recent years, Mathematical modeling has shown to have a crucial role in the understanding of disease dynamics[3]. It helps to understand the transmission process and allows us to try some control techniques using mathematical and analytical tools to study the efficiency of the approaches before adopting them into the real world[2]. In this study, we examine a mathematical model that describes the transmission of one type of pathogen among various kinds of species[1], we will do the suitable analysis, and then simulate the results to match the theoretical findings[4]. Then we will demonstrate how we can use those mathematical results to help epidemiologists and health-care systems in the decision-making regarding the propagation of the studied disease[5].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Wang K, Zhang X, Jin Z, Ma H, Teng Z, Wang, Modeling and analysis of the transmission of echinococcosis with application to Xinjiang Uygur Autonomous Region of China. , J Theoret Biol, 2013 ;333 :78-90.

[2] Birhan GB, Munganga JMW, Hassan AS. Mathematical modeling of echinococcosis in humans, dogs, and sheep. Journal of Applied Mathematics 2020 Volume 2020, Article ID 8482696, 18 pages.

[3] Brauer F., Castillo-Chavez C. Mathematical models in population biology and Epidemiology. Mathematics Subject Classification (2010): 92

[4] Tom Britton, Stockholm University, Stochastic epidemic models: a survey, 2009

[5] Carlos Castilla-Chavez, t Samuel Fridman,t and Xiaolong Luo, Stochastic and Deterministic Models in Epidemiology, 1991 Mathematics Subject Classification: 92D30

<footnote n="1">¹ Faculty of sciences Ben M'sick,
Casablanca, Morocco</footnote>
Long-Term Behavior of Stochastic SVIQS Epidemic Models

**Communication Info**

**Authors:**

Soulaimane AZNAGUE¹

¹ Laboratory of Mathematics and Applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco

**Keywords:**

(1) SVIQS model

(2) Disease extinction

(3) Stationary distribution

**Abstract**

In this study, we present a stochastic SVIQS epidemic model incorporating imperfect vaccination and quarantine measures. We analyze the long-term behavior of the system and introduce a real-valued threshold $\Delta$ to classify disease extinction and persistence. Specifically, we show that if $\Delta < 0$, the disease dies out, whereas if $\Delta > 0$, the system admits a unique positive stationary distribution. To support and complement our analytical results, we provide numerical simulations illustrating the impact of key parameters on disease dynamics.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] D. Nguyen, N. Nguyen, G. Yin, General nonlinear stochastic systems motivated by chemostat models: Complete characterization of long-time behavior, optimal controls, and applications to wastewater treatment, Stochastic Process. Appl, 130, 4608-4642, (2020).

[2] D.H. Nguyen, G. Yin, C. Zhu, Long term analysis of a stochastic SIRS model with general incidence rates, SIAM J. Appl. Math. 80 (2020) 814-838.

[3] X. Zhang, Q. Yang, Threshold behavior in a stochastic SVIR model with general incidence rates, Applied Mathematics Letters 121, November 2021, 107403.

[4] Chen, S., Small, M., & Fu, X, Global stability of epidemic models with imperfect vaccination and quarantine on scale-free networks. IEEE Transactions on Network Science and Engineering, 6(3), 369-381, (2019).

[5] Nguyen, T. Hieu, Dang H. Nguyen, Nhu N. Nguyen, and George Yin. "Analyzing a class of stochastic SIRS models under imperfect vaccination." Journal of the Franklin Institute 361, no. 3 (2024), 1284-1311.
Framework for Evaluating University Faculty Efficiency Using
Hierarchical Network Data Envelopment Analysis

**Communication Info**

**Authors:**

Anis Mardiana AHMAD<fnref n="1" />,<fnref n="2" />

Noor Saifurina NANA KHURIZAN <fnref n="2" />

**Keywords:**

(1) Efficiency

(2) Higher Education

(3) Hierarchical Data
Envelopment Analysis

**Abstract**

This study introduces a five-stage framework employing
Hierarchical Network Data Envelopment Analysis
(HNDEA) to evaluate the efficiency of university
faculties. University faculties primarily engage in
teaching, research, and educational services. Previous
models such as those by Kao [1] and Kashim et al. [2]
have depicted university faculties with hierarchical
structures but lacked distinct subunits within the
research function, limiting the granularity of efficiency
assessments. To address this limitation, our framework
incorporates specific subunits under the research
function, namely publications, grants, and innovations.
This detailed segmentation allows for a more
comprehensive and precise evaluation of research
efficiency, facilitating the identification of specific areas
requiring improvement. A key stage in our framework
involves the development of tailored HNDEA models
that reflect this nuanced structure.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Kao, Omega, 51, 2015, 121-127.

[2] Kashim et al., Journal of Information and Communication Technology, 17(4), 2018, 569-585.

<footnote n="1">¹ School of Mathematical Sciences,
Universiti Sains Malaysia, 11800 USM,
Penang, Malaysia</footnote>

<footnote n="2">² Mathematical Science Studies, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA Kedah Branch, Sungai Petani Campus, 08400 Sungai Petani, Kedah, Malaysia</footnote>
A modified location model based on robust approaches for
mitigating the impact of outliers

**Communication Info**

**Authors:**

Kartini KASIM ¹,²

Hashibah HAMID ¹

Ayu ABDUL-RAHMAN ¹

¹ Department of Mathematics,
School of Quantitative Sciences,
UUM College of Arts and
Sciences, Universiti Utara
Malaysia, Kedah, Malaysia

² Mathematical Sciences
Studies, College of Computing,
Informatics and Mathematics,
Universiti Teknologi MARA
Kedah Branch, Kedah, Malaysia

**Keywords:**

(1) Location model

(2) Mixed variable

(3) Classification

(4) Outlier

(5) Robust approach

**Abstract**

Location model (LM) is a statistical method used to classify objects into two groups, particularly when dealing with mixed variables [1] - [4]. In a previous study, a framework of an improved version of the LM using the MOM estimator, paired with a robust covariance matrix (MADn x Spearman rank) was developed [5]. The improved LM, known as RLM<sub>MMSR</sub>, is recommended for mitigating the effects of outliers on classification model with mixed variables, particularly the LM. In this study, simulation results of the RLM<sub>MMSR</sub> are presented and compared to the classical LM to determine the model performance in the presence of outliers. Based on misclassification rates, the simulation results reveal that the RLM<sub>MMSR</sub> outperformed the LM when data are contaminated with outliers. These findings not only demonstrate the potential of the RLM<sub>MMSR</sub> in classification fields that involve mixed variables but also emphasize its effectiveness in mitigating the effect of outliers.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Krzanowski, Appl Stat, 32, 1983, 260-266.

[2] Krzanowski, J Classif, 10, 1993, 25-49.

[3] Franco et al., Crop Sci, 42, 2002, 1727-1736.

[4] Hamid et al., Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12, 2021, 2631-2635.

[5] Kasim et al., ICRAMCS 2024, 2024, 325.
Some Estimation Methods for a Random Coefficient in the
Gegenbauer Autoregressive Moving-Average Model

**Communication Info**

**Authors:**

Oumaima ESSEFIANI¹
Rachid EL HALIMI¹
Said HAMDOUNE ¹

1 Mathematics and
Applications Laboratory,
Abdelmalek Essaadi
University, Tangier 90000,
Morocco

**Keywords:**

(1) GARMA model

(2) Conditional least squares

(3) Weighted conditional least squares

(4) Mean squared errors

**Abstract**

The Gegenbauer autoregressive moving-average (GARMA) model is pivotal for addressing non-additivity, non-normality, and heteroscedasticity in real-world time-series data. While primarily recognized for its efficacy in various domains, including the health sector for forecasting COVID-19 cases [1], this study aims to assess its performance using yearly sunspot data. We evaluate the GARMA model's goodness of fit and parameter estimation specifically within the domain of sunspots. To achieve this, we introduce the random coefficient generalized autoregressive moving-average (RCGARMA) model, extending the standard GARMA model to incorporate unobserved heterogeneity [2]. We develop methodologies utilizing conditional least squares (CLS) and conditional weighted least squares (CWLS) estimators [3, 4]. Employing the ratio of mean squared errors (RMSE) criterion, we compare the efficiency of these methods using simulation data. Notably, our findings highlight the superiority of the conditional weighted least squares method over the conditional least squares method. Finally, we provide an illustrative application using two real data examples, emphasizing the significance of the GARMA model in sunspot research [5].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Darmawan, G.; Rosadi, D.; Ruchjana, B.; Pontoh, R.; Asrirawan, A.; Setialaksana, W. Forecasting COVID-19 in INDONESIA with various time series models. Media Stat. 2022, 15, 83-93.

[2] Nicholls, D.F.; Quinn, B.G. Random Coefficient Autoregressive Models: An Introduction; Springer: New York, NY, USA, 1982.

[3] Beaumont, P.; Smallwood, A. Inference for estimators of generalized long memory processes. Commun. Stat. Simul. Comput. 2021, 52, 6096-6115.

[4] Hossain, S.; Pandher, S.; Volodin, A. Generalized autoregressive moving average models: an efficient estimation approach. J. Stat. Comput. Simul. 2023, 93, 556-580.

[5] McDonough, T.; McMahon, C.; Kotz, D.M. Handbook on Social Structure of Accumulation Theory; Edward Elgar Publishing: Cheltenham, UK, 2021.
On the optimal control of rumor and its impact on the economic environment

**Communication Info**

**Authors:**

Salaheddine BELHDID¹

Omar BALATIF ¹

¹ Laboratory of Fundamental
Mathematics and Their
Applications, Department of
Mathematics, Faculty of
Sciences El Jadida, Chouaib
Doukkali University, El jadida

**Keywords:**

(1) Optimal control,

(2) rumors,

(3) compartment models,

**Abstract**

This paper delves into the pervasive issue of misinformation and disinformation propagation within social networks. Employing a compartmental model, inspired by epidemiological modeling [1], we characterize the dynamics of information diffusion as it spreads through different segments of a population. The model incorporates distinct compartments representing individuals susceptible to misinformation, actively spreading it, and those who have developed immunity to its influence. To mitigate the detrimental impact of misinformation, we introduce optimal control strategies that dynamically manipulate key parameters influencing the spread of false information. Leveraging control theory, we formulate an optimization problem to minimize the prevalence of misinformation while considering resource constraints and ethical considerations. Our findings highlight the effectiveness of targeted interventions in curtailing the dissemination of misinformation [2], [3], [4].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Cheng, Y. and Zhao, L., 2021. Dynamical behaviors and control measures of rumor-spreading model in consideration of the infected media and time delay. Information Sciences, 564, pp.237-253.

[2] Daley, D.J. and Kendall, D.G., 1965. Stochastic rumours. IMA Journal of Applied Mathematics, 1(1), pp.42-55.

[3] Balatif, O., Khajji, B. and Rachik, M., 2020. Mathematical modeling, analysis, and optimal control of abstinence behavior of registration on the electoral lists. Discrete Dynamics in Nature and Society, 2020.

[4] Kada, D., Khajji, B., Balatif, O., Rachik, M. and Houssine Labriji, E., 2021. Optimal control approach of discrete mathematical modeling of the spread of gaming disorder in morocco and cost-effectiveness analysis. Discrete Dynamics in Nature and Society, 2021, pp.1-12.
Proposition of a novel SIRS epidemic model with double
epidemics and coexisting epidemics

**Communication Info**

**Authors:**

Ouyadri Mourad¹

Amine El Koufi²

Mohamed El Fatini ³

¹ LIMA Laboratory, Faculty of
Sciences El Jadida Chouaib
Doukkali University El Jadida
24000, Morocco

² Department of Mathematics
and Computer Science High
School of Technology, Ibn Tofail
University P.O. 240, K'enitra
14000, Morocco

³ Laboratory of Partial
Differential Equations Algebra
and Spectral Geometry, Faculty
of Sciences Ibn Tofail
University, BP 133, K'enitra
14000, Morocco

**Keywords:**

(1) Epidemic model;

(2) stability analysis;

(3) optimal control;

(4) Pontryagin's maximum
principle.

**Abstract**

Improving epidemic models to better reflect reality has long
been a prominent concern for governments and researchers. This
paper presents a novel Susceptible-Infected-Recovered-
Susceptible (SIRS) epidemic model for human populations,
offering a comprehensive analysis. The proposed model
introduces a generalized SIRS epidemics framework
encompassing three propagation scenarios. The paper establishes
the positivity and boundedness of the system and demonstrates
the stability of its equilibrium points. Furthermore, a controlled
system is introduced, accompanied by three suggested control
strategies to minimize the infected population while optimizing
cost. To validate the analytical findings, a numerical example is
provided. The paper concludes with a summary and outlines
future research directions.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] A. El Koufi, A. Bennar and N. Yousfi, A stochastic switched epidemic model with two epidemic diseases, Complexity 2021 (2021) 1–13.

[2] L. W. Neustadt, L. S. Pontrjagin and K. N. Trirogoff, The Mathematical Theory of Optimal Processes (Interscience, 1962)

[3] M. Martcheva, An Introduction to Mathematical Epidemiology, Vol. 61 (Springer, New York, 2015), pp. 9–31.

[4] P. Van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180(1–2) (2002) 29–48
Eikonal Equation Solved with a Novel Lattice Boltzmann Method Framework

**Communication Info**

**Authors:**

Yassine DOUICH¹

Hassan SIKAN ¹

Youssef HANYF ²

¹ Department of Computer
Science, laboratory LAROSERI,
Faculty of Sciences, El JADIDA,
Morocco

² National School of Commerce
and Management, Ibn Zohr
University, Dakhla, Morocco

**Keywords:**

(1) Eikonal Equation

(2) , Lattice Boltzmann
Method

(3) Distance Function

**Abstract**

In this paper, we present an advanced lattice Boltzmann method (LBM) tailored to solving the Eikonal equation, a critical nonlinear Hamilton-Jacobi partial differential equation with widespread applications in image processing [1], geosciences, computer vision, and more [2,3,4,5,6]. The proposed method integrates a nonlinear local equality constraint into the traditional LBM framework, enhancing its capability to address the complexities of the Eikonal equation. Using the Chapman-Enskog expansion, we rigorously derive the macroscopic Eikonal equation from the microscopic LBM dynamics. Our method's stability is established through Von Neumann analysis, ensuring robust performance across various scenarios. Numerical simulations demonstrate the approach's accuracy, efficiency, and adaptability in solving multidimensional Eikonal problems. The results highlight the potential of the LBM as a powerful and versatile tool for tackling nonlinear PDEs in computational science.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Nicolas Forcadel, Carole Le Guyader & Christian Gout., Numerical Algorithms., 48 Issue 1-3(2008), 189-211.

[2] R. Kimmel, J. A. Sethian. Proc. Natl. Acad. Sci. USA., 95 (1998), 867-884.

[3] E. Rouy, A. Tourin, SIAM J. Numer. Ana., 29 (1992), 867-884.

[4] Peter G. Lelievre, Colin G. Farquharson & Charles A. Hurich. Geophys. J.Int., 184 (2010), 885-896.

[5] E. Prados; S. Soatto; C. Lenglet; J.-P. Pons; N. Wotawa; R. Deriche; O. Faugeras., 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06), 1 (2006), 1076-1083.

[6] M.G. Crandall & P.L. Lions., Trans. Amer. Math. Soc., 277 (1983), 1-42.
# Identities Involving Symmetric and Skew-Symmetric Elements in a Prime Ring with Involution

## Communication Info

**Authors:**

Jihad BENZAID 1
Lahcen Oukhtite 2
Omar AIT ZEMZAMI 3

1FST; FEZ; Morocco
2FST, FEZ, Morocco
3EST, AGADIR, Morocco

**Keywords:**

(1) prime rings

(2) derivations

(3) symmetric elements

## Abstract

This work investigates algebraic identities satisfied by symmetric and skew-symmetric elements in a prime ring equipped with an involution of the second kind. More specifically, we examine conditions involving generalized derivations acting on these elements.

The results obtained generalize several previous studies by extending the classes of identities considered and providing new sufficient conditions to ensure certain structural properties of prime rings with involution.

These findings contribute to a deeper understanding of the interplay between involutions, derivations, and structured elements in noncommutative rings.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] M. Bresar, Centralizing mappings and derivations in prime rings, Journal of Algebra 156, 1993; 385-394.

[2] S. Dakir, H. El Mir and A. Mamouni, Generalized derivations in rings with involution involving symmetric and skew symmetric elements, Commun. Korean Math. Soc. 39 (2024), No. 1, pp. 110.

[3] A. Mamouni, L. Oukhtite and M. Zerra, Certain algebraic identities on prime rings with involution, Comm. Algebra, 49; (2021).
Le comportement mécanique des plaques FG
poreuses sur des fondations élastiques

**Communication Info**

**Authors:**

Fikri karim 1

ADNAOUI KHALID 2

Laila Mouakkir 3,4

1 Faculté des Sciences
Ben M'Sick, CASA, MAROC
2 Faculté des Sciences
Ben M'Sick, CASA, MAROC
3 Faculté des Sciences
Ben M'Sick, CASA, MAROC

**Keywords:**

(1) plaque à gradient
fonctionnel

(2) fondation de Pasternak

(3) porosité

**Abstract**

Un matériau fonctionnellement gradué (FGM) est un type de matériau dont la composition de la structure varie de manière continue dans une ou plusieurs directions. Cette variation graduelle engendre des changements correspondants dans les propriétés physiques, mécaniques ou thermiques du matériau.

Dans cette étude, la réponse de flexion d'une plaque poreuse à gradation fonctionnelle reposant sur des fondations de Pasternak et sous diverse charge mécanique est examinée en utilisant la théorie trigonométrique raffinée de la déformation par cisaillement. Les équations qui régissent sont déduites sur la base du principe de travail virtuel, Des solutions analytiques sont obtenues en utilisant la méthode de Navier

Une étude détaillée est effectuée pour examiner l'influence de plusieurs paramètres à savoir : Les effets du paramètre de porosité et des paramètres de fondation, de l'indice de loi de puissance l'indice matériel p, le rapport d'épaisseur a/h et le rapport géométrique a/b sur les déflexions et les contraintes sont présentés

© ICRAMCS 2025 Proceedings ISSN: 2605-7700
Mckean-Vlasov BSDEs with locally monotone coefficient

**Communication Info**

**Authors:**

Soufiane MOUCHTABIH¹
Brahim BOUFOUSSI ²

¹ Cadi Ayyad University,
Marrakesh, Morocco

² Cadi Ayyad University,
Marrakesh, Morocco

**Keywords:**

(1) Mckean-Vlasov BSDE,

(2) locally monotone
coefficient,

**Abstract**

Nonlinear backward stochastic differential equations (BSDEs), introduced in [1], have found a wide field of applications as optimal stochastic control, mathematical finance, and they provide probabilistic representation for the solutions of semilinear partial differential equations.

The Mckean Vlasov BSDEs (MVBSDE), called also mean-field BSDE, is a class of BSDEs whose generator also depends on the solution's law introduced in [3] and solved, in a general framework, in [4] under Lipschitz continuity of the coefficient and square integrability assumption on the terminal condition.

We consider a MVBSDE of the form
$Y_t = -F(t, Y_t, Y_{t|[Y_t]})dt + Z_t dB_t$

where $[Y_t]$ stands for the law of $Y_t$. We show that if $F$ is locally monotone in $y$, locally Lipschitz with respect to $z$ and law's variable, and the monotonicity and Lipschitz constants $\kappa_N, L_N$ are such that $L_N^2 + \kappa_N^+ = O(\log(N))$, then the MVBSDE has a unique solution.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Pardoux, E., Peng, S. G. : Adapted solution of a backward stochastic differential equation. Systems and Control Letters, 1990, 55-61

[2] Bahlali, Khaled, Existence and Uniqueness of Solutions for BSDEs with Locally Lipschitz Coefficient, Electron. Commun. Probab, 2002, 169-179.

[3] Buckdahn, R., Djehiche, B., Li, J. and Peng, S.: Mean-field backward stochastic differential equations: a limit approach. The Annals of Probability, 2009, 1524-1565

[4] Buckdahn, R., Li, J. and Peng, S.: Mean-field backward stochastic differential equations and related partial differential equations. Stochastic Processes and their Applications, 2009, 3133-3154

[5] Li, J.: Mean-field forward and backward SDEs with jumps and associated nonlocal quasi-linear integral PDEs. Stochastic Processes and their Applications, 2018, 3118-3180
BIOECONOMIC MODELING OF MARINE FISHERIES: SUSTAINABLE MANAGEMENT OF GUITARFISH AND PLAICE IN AGADIR

**Communication Info**

**Authors:**

Khalid Outaoui¹,²

Ilham Ait El harch ¹,²

Youssef El foutayeni ¹,²

¹ Laboratory of Mathematics and Population Dynamics, Cadi Ayyad University, Marrakech, Morocco.

² Unit for Mathematical and Computer Modeling of Complex Systems, IRD, France

**Keywords:**

(1) Bioeconomic Model

(2) Sustainable Management

(3) Mathematical Modeling

(4) Resource Optimization

**Abstract**

This study examines the ecological and economic importance of guitarfish (Rhinobatos, Raja undulata) and plaice (Pleuronectes platessa) in Agadir, Morocco. These species are crucial for maintaining ecological balance but face threats from overfishing [1-2], habitat destruction, pollution, and climate change. The study uses Lotka-Volterra models [3], and a bioeconomic model with optimization techniques to analyze their population stability and propose sustainable management strategies [4-5]. It aligns with the UN's Sustainable Development Goals (SDGs), promoting ecological and economic balance in fisheries management.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Coelho, R., Bertozzi, M., Ungaro, N., & ellis, J. (2009). Raja undulata. The IUCN Red List of Threatened Species. e.T161425A5420694. http://dx.doi.org/10.2305/IUCN.UK.2009-2.RLTS.T161425A5420694.en

[2] Munroe, T. A. (2010). Platichthys flesus. The IUCN Red List of Threatened Species.e. T135717A4191586. http://dx.doi.org/10.2305/IUCN.UK.20104.RLTS.T135717A4191586.en

[3] Lotka, A. (1925). Elements of Physical Biology. Williams & Wilkins, Baltimore, MD, USA.

[4] Volterra, V. (1926). Fluctuations in the abundance of a species considered mathematically. Nature, 118, 558-560.

[5] El Foutayeni, Y., & khaladi, M. (2012). A bio-economic model of fishery where prices depend on harvest. Advanced Modeling and Optimization, 14(3).
A new approach based in deep neural network
for solving stochastic optimal control driven by
diffusion process with jumps

**Communication Info**

**Authors:**

Hamid OULGHAZI.

UMI, FST Errachidia, Morocco.
Department of Mathematics
(A2MSDS Group).

**Keywords:**

(1) SDE with jump

(2) control optimal stochastic

(3) Deep neural Network

**Abstract**

In this work, We concentrate on the numerical solution of high-dimensional stochastic optimal control problems [1], where the system state is represented by a diffusion process with jumps [2].

By applying the maximum principle [3] and deep neural networks [4], we reformulate the original control problem as a variational problem and propose specialized algorithms to solve this new formulation [5]. The algorithms, along with the different architectures used, have been presented. Numerical results from application, such as the mean-variance portfolio selection problem in a financial market with two different assets in the jump diffusion process case, demonstrate the effectiveness of the proposed algorithms, especially in high-dimensional.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Weinan E, Jiequn Han, and Arnulf Jentzen. Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations. Communications in Mathematics and Statistics, 2017, vol 5(4) p. 349-380.

[2] Meng, Qingxin, et al. Optimal Controls of Stochastic Differential Equations with Jumps and Random Coefficients: Stochastic Hamilton-Jacobi-Bellman Equations with Jumps. Applied Mathematics and Optimization, 2023, 87.1.

[3] Framstad, N. C., Øksendal, B., et al. Sufficient Stochastic Maximum Principle for the Optimal Control of Jump Diffusions and Applications to Finance, Optimization Theory and Applications journal, 2005, vol. 124, p. 511.

[4] Jiequn Han and Jihao Long, Convergence of the deep bsde method for coupled fbsdes. Probability, Uncertainty and Quantitative Risk, 2022, 5(1), 1-33.

[5] JI, Shaolin, Peng, Shige, Peng, Ying, et al, Three algorithms for solving high-dimensional fully coupled FBSDEs through deep learning. IEEE Intelligent Systems, 2020, vol. 35, no 3, p. 71-84.
The Autoregressive Distributed Lag (ARDL)
cointegration approach for analyzing the
relationship between interest rates and per
capita income variables.

**Communication Info**

**Authors:**

Hamza DAOUDI ¹

¹Department of Electrical
Engineering, Faculty of Science
and Technology. Tahri
Mohammed University, Bechar,
Algeria.

**Keywords:**

(1) ARDL

(2) Cointegration

(3) Causality

(4) Time series

**Abstract**

This paper explores the cointegration relationship
between interest rates (IR) and per capita income (PCI)
in Saudi Arabia. To investigate this relationship, we
employ advanced time series techniques, including unit
root tests and the ARDL (Autoregressive Distributed
Lag) cointegration approach. The study utilizes annual
data spanning from 1997 to 2015. The findings reveal
two key insights: first, the two variables exhibit
different orders of stationarity, indicating a mixed
integration order; second, there exists a significant long-
term cointegration relationship between interest rates
and per capita income. These results provide valuable
insights into the dynamic interaction between monetary
policy and economic growth in Saudi Arabia.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Hnatkovska, V., and Lahiri, A., The Non-Monotonic Relationship between Interest Rates and Exchange Rates, Unpublished thesis (MPED, University of Maryland), 2007.

[2] Jonada T., Relationship between Exchange Rates and Interest Rates: Case of Albania, Mediterranean Journal of Social Sciences, 2015, 6(4): 163-170.

[3] Westerlund, J., Panel cointegration tests of the fisher effect, Journal of Applied Econometrics, 2008, 23(2): 193-233.
<figure><img src="image_89.png" /></figure>

Strongly nonlinear parabolic equations with
natural growth

Communication Info

Authors:

Mohamed Masmodi¹

¹Ibn Tofail University, Kenitra,
Morocco

Keywords:

(1) Sobolev spaces

(2) Parabolic equations

(3) Unbounded domains

Abstract

In this paper, we deal with the existence and boundedness
of solutions for nonlinear parabolic problem whose model
is

$$
\left\{
\begin{array}{ll}
\partial u_t + \Delta_p u + \mu |u|^{p-2} u = L(x, t, u) & \text{in } \Omega \times (0, T) \\
u(x, t) = 0 & \text{on } \partial \Omega \times (0, T) \\
u(x, 0) = u_0 & \text{in } \Omega
\end{array}
\right.
$$

where $\Omega$ is unbounded domain,

$L(x, t, u) = d(x, t)|\nabla u|^p + f(x, t) - \operatorname{div} g(x, t)$, $T$ is a positive number, $1 < p < N$, $d \in L^\infty(\Omega \times (0, T))$, $\Delta_p u$ is the $p$-Laplace operator and the lower order terms have a power growth of order $p$ with respect to $\nabla u$. The assumptions on the source terms lead to the existence results though with exponential integrability.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] V. Ferone, M. R. Posteraro, J.-M. Rakotoson; Nonlinear parabolic equations with p-growth and unbounded data, C. R. Acad. Sci. Paris Ser. I Math. 328, no.4, 291-296(1999).

[2] L. Boccardo, T. Gallouet, J. L. Vazquez; Solutions of nonlinear parabolic equations without growth restriction on the data, Electron. J. Differential Equations 60 (2001), 20.
<figure><img src="image_90.png" /></figure>

# A multiplicity result via Ljusternick-Schnirelmann category for a fractional equation involving Hardy-Littlewood-Sobolev critical exponent in general domains

## Communication Info

**Authors:**

Rachid ECHARGHAOUI<fnref n="1" />

Mohamed Belhaj

KHARMOUDI<fnref n="1" />

Moussa KHOUAKHI<fnref n="2" />

Mohamed MASMODI<fnref n="1" />

**Keywords:**

(1) Fractional Laplacian

(2) critical exponent

(3) Choquard equation

## Abstract

In this paper, we consider the following problem

$$ \begin{cases} (-\Delta)^s = \lambda |u|^{q-2}u + \left( \int_{\Omega} \frac{|u(y)|^{2_{\mu,s}^*}}{|x-y|^{\mu}} dy \right) |u(y)|^{2_{\mu,s}^*-2}u \quad \text{in } \Omega \\ u = 0 \quad \text{on } \mathbb{R}^N \setminus \Omega \end{cases} $$

where $\Omega$ is an open bounded set with continuous boundary in $\mathbb{R}^N$ ($N \ge 4s$), $0 < \mu < N$, $2_{\mu,s}^* = \frac{2N-\mu}{N-2s}$ and $q \in [2; 2_{u,s}^*)$, where $2_s^* = \frac{2N}{N-2s}$. Using the Nehari manifold and Ljusternik-Schnirelmann category, we relate the number of positive solutions of the above problem to the topology of $\Omega$

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Alves, C., de Morais Filho, D., Souto, M.: On systems of elliptic equations involving subcritical or critical Sobolev exponents. Nonlinear Anal. 42, 771-787 (2000)

[2] Di Nezza, E., Palatucci, G., Valdinoci, E.: Hitchhikers guide to the fractional Sobolev spaces. Bull. Sci. Math. 136(5), 521-573 (2012)

[3] Echarghaoui, R., Khouakhi, M., Masmodi, M.: Multiple positive solutions for a fractional p&q-Laplacian system with concave and critical nonlinearities. J Elliptic Parabol Equ (2023).

<footnote n="1">¹ Ibn Tofail University, Kenitra, Morroco</footnote>

<footnote n="2">² Sidi Mohamed Ben Abdellah, Fes, Morroco</footnote>
Exponential stabilisation in Banach spaces for a class of bilinear
systems with distributed delay

**Communication Info**

**Authors:**

Marwan FAKHRI
Atmane EL HOUCH
Yassine BENSLIMANE

ENS, Casablanca, Morocco

**Keywords:**

(1) Banach space

(2) Distributed delay

(3) Exponential stabilisation

**Abstract**

In this paper, we focus on the problem of exponential stabilisation for a class of bilinear systems with distributed delay evolving in Banach state spaces. Sufficient conditions in term of observation estimates are formulated to achieve the exponential stabilisation via an explicit bounded feedback control. Additionally, through an appropriate decomposition of the state space, we introduce a new feedback control that depends only on the state projection into a suitable subspace, achieving the exponential stabilisation of the system at hand. Finally, we present two examples to illustrate the effectiveness of the obtained results.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Benzaza, A., Brouri, A., Ouzahra, M. (2023a). Robust stabilisation for affine control systems in Banach spaces. Asian Journal of Control, 25(1), 497-508.

[2] Boumasmoud, S., Ezzinbi, K. (2023). Polynomial stability and weak stabilisation for some partial functional differential equations with delay, IMA Journal of Mathematical Control and Information, 40(2), 152-178.

[3] Zemek, M. (1991). Strong monotonicity and lipschitz-continuity of the duality mapping. Acta Universitatis Carolinae. Mathematica et Physica, 32(2), 61-64.
Non-negative spherical barycentric coordinates for non-convex
geodesic polygons and applications

**Communication Info**

**Authors:**

Nacer NAIT ALI¹
Alaa Eddine BENSAD¹
Aziz IKEMAKHEN¹

¹ Faculty of Science and
Technology Gueliz, Marrakech,
Morocco

**Keywords:**

(1) Spherical barycentric coordinates

(2) Spherical image deformation

(3) Geodesic polygons

**Abstract**

Spherical barycentric coordinates provide a unique way of representing points on the sphere with respect to the vertices of a spherical triangle. For spherical polygons with more than three vertices, they are generalized from their planar counterparts [1-2] using projections on tangent spaces [3], leading to several families of generalized spherical coordinates [4]. This framework is important for applications on spherical surfaces in computer graphics and geometry modeling, since it enables linear interpolation, smooth transition, and data deformation at vertices. However, robust computations require non-negativity of coordinates, especially for curve and image deformation where negative values produce significant artefacts [5]. In this paper, we present a method for computing smooth and non-negative spherical barycentric coordinates relative to any spherical polygon. Compared to traditional methods, the proposed coordinates ensure smoother and higher-quality deformations.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Floater, M.S., Hormann, K., K'os, G., A general construction of barycentric coordinates over convex polygons, advances in computational mathematics, **24**(1-4), 2006, 311–331.

[2] Floater, M.S., Generalized barycentric coordinates and applications, Acta Numerica, **24**, 2015, 161–214.

[3] Langer, T., Belyaev, A., Seidel, H.-P., Spherical barycentric coordinates, In: Symposium on Geometry Processing, 2006, 81–88.

[4] Bensad, A.e., Ikemakhen, A., A general construction of spherical barycentric coordinates and applications, Journal of Computational and Applied Mathematics, **422**(4), 2023, 114945.

[5] Deng, C., Chang, Q., Hormann, K., Iterative coordinates, Computer Aided Geometric Design, **79**, 2020, 101861.
Multiplicity of solutions for a singular Kirchhoff
bi-nonlocal elliptic problem driven by the
p(x)-biharmonic operator

**Communication Info**

**Authors:**
Hassan ABOUBKER<fnref n="1" />
My Driss MORCHID ALAOUI <fnref n="2" />

**Keywords:**
(1) p(x)-Biharmonic operator
(2) Variable exponents
(3) p(x)-Kirchhoff
(4) Symmetric mountain pass
lemma
(5) Hardy term.

**Abstract**

In this presentation, we investigate the existence and multiplicity of non-trivial weak solutions for a p(x)-Kirchhoff bi-nonlocal elliptic problem driven by p(x)-Biharmonic operator with a Hardy term.
Using variational techniques and the symmetric mountain pass lemma, we obtain our main results under some suitable conditions.

**References**

[1] A. Ambrosetti, P.H. Rabinowitz, Dual variational methods in critical point theory and applications. Journal of functional Analysis, 14(4), (1973), 349-381.

[2] F.J.S. Correa, A.C.D.R. COSTA, A variational approach for a bi-non-local elliptic problem involving the p(x) Laplacian and non-linearity with non-standard growth. Glasgow Mathematical Journal, 56(2), (2014), 317-333.

[3] A.El Khalil, M.Laghzal, M.D.Morchid Alaoui, and A.Touzani, Eigenvalues for a class of singular problems involving p(x)-Biharmonic operator and q(x)-Hardy potential, Adv.Nonlinear Anal, 9, (2020), 1130-1144.

[4] A. Ghanmi and A. Sahbani, Existence results for p(x)-biharmonic problems involving a singular and a Hardy type nonlinearities. AIMS Mathematics, 8(12) (2023), 29892-29909.

[5] M.Jennane and M.D.Morchid Alaoui, p(x)-Kirchhoff bi-nonlocal elliptic problem driven by both p(x)-Laplacian and p(x)-Biharmonic operators, Moroccan J. of Pure and Appl. Anal, 9(3), (2023), 407-419.

<footnote n="1">¹ FST Errachidia, Morocco</footnote>

<footnote n="2">² FST Errachidia, Morocco</footnote>
<figure><img src="image_91.png" /></figure>

# Existence and multiplicity of positive solutions for a critical fractional Laplacian equation with singular nonlinearity

## Communication Info

**Authors:**

Rachid ECHARGHAOUI<fnref n="1" />

Moussa KHOUAKHI<fnref n="2" />

Mohamed MASMODI<fnref n="1" />

**Keywords:**

## Abstract

In this paper, we consider the following problem

$$ \begin{cases} (-\Delta)^s u = g(x)u^{2s-1} + \lambda u^{-\delta} & \text{in } \Omega \\ u > 0 & \text{in } \Omega, \quad u = 0 \quad \text{on } \partial\Omega \end{cases} $$

where $\Omega \subset \mathbb{R}^N (N > 2s)$ is a smooth bounded domain, $s \in (0,1)$, $\lambda$ is a positive constant,

$0 < \delta < 1$, $2_s^* = \frac{2N}{N-2s}$ and $(-\Delta)^s$ is the spectral fractional Laplacian. Based upon the Nehari manifold and using variational method we relate the number of positive solutions to the global maximum of the coefficient of the critical nonlinearity $g$.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Abatangelo, N., Valdinoci, E.: Getting Acquainted with the Fractional Laplacian. Springer INdAM Series (2019)

[2] Barrios, B., De Bonis, I., Medina, M., Peral, I.: Semilinear problems for the fractional Laplacian with a singular nonlinearity. Open Math. 13, 390–407 (2015)

<footnote n="1">¹ Ibn Tofail University, Kenitra, Morocco</footnote>

<footnote n="2">² Sidi Mohamed Ben Abdellah, Fes, Morroco</footnote>

<footnote>(1) Fractional Laplacian</footnote>

<footnote>(2) critical exponent</footnote>

<footnote>(3) singularity</footnote>
OPTIMAL DESIGN OF WATER DISTRIBUTION NETWORKS USING
LION OPTIMIZATION ALGORITHM

**Communication Info**

**Authors:**

Alaeddine BOUIDI¹
Mohammed Karim
BENHACHMI¹
Abdeslam TALEB¹

¹ Department of Process and Environmental Engineering, Faculty of Science and Technology of Mohammed, Hassan II University of Casablanca, Casablanca, Morocco

**Keywords:**

(1) Optimal Cost Design

(2) Metaheuristic algorithm

(3) Performance Indicator

**Abstract**

The demand on drinking water continues to increase due to demographic and industrial fast growth, in this context and since 70% of the cost for water distribution project is linked to pipe sizing [1], we find a large number of studies focused on the optimization of the design of water distribution networks [2] by searching for the best combinations of diameters from commercial pipes [3] providing solutions that allow water needs to be met at lower cost.

The formulation of this optimization problem can be done by the following objective function to estimate the costs [4]:

$$F_{\text{obj}} = \sum_{i=1}^{N_{\text{pipes}}} c_i l_i + P,$$

where Fobj is the total construction cost of the network, Npipes is the number of pipes, cᵢ is the cost of pipe i per unit length, lᵢ is the length of pipe i and P is a penalty applies to avoid infeasible solutions.

The objective of this study is to develop a program for optimizing the cost of pipes using a new metaheuristic method called Lion Algorithm [5].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] K. S. Jinesh Babu and D. P. Vijayalakshmi, "Self-Adaptive PSO-GA Hybrid Model for Combinatorial Water Distribution Network Design" Journal of Pipeline Systems Engineering and Practice, vol. 45(1), 2013, 57-67.

[2] Veli Batmaz and Necati Kayaalp, "Optimization of water distribution networks using hybrid BBO-IWO algorithm" Urban Water Journal, vol. 20(2), 2022, 205-222.

[3] R. Ezzeldin, M. Zelenakova, H. F. Abd-Elhamid, K. Pietrucha-Urbanik and S. Elabd, "Hybrid Optimization Algorithms of Firefly with GA and PSO for the Optimal Design of Water Distribution Networks" Water (Switzerland), vol 15(10), 2023, 1906.

[4] Idel Montalvo, Joaquin Izquierdo, Rafael Pérez, Michael M. Tung, "Particle Swarm Optimization applied to the design of water supply systems" Computers and Mathematics with Applications, vol. 56(3), 2008, 769-776.

[5] R. Boothalingam, "Optimization using lion algorithm: a biological inspiration from lion's social behavior" Evol Intell, vol. 11(1-2), 2018, 31-52.
<figure><img src="image_92.png" /></figure>

# Geometric Properties of the N-Bishop Frame and Its Spherical Indicatrices

## Communication Info

## Authors:

Malika ΙΖΙD¹

Amina CAHADI OUAZZANI 1

¹ Faculty of Science Ben M'Sick/University Hassan II of Casablanca, Casablanca, Morocco

## Keywords:

(1) N-Bishop frame

(2) Spherical indicatrice

(3) Slant helices,

(4) Frenet invariants,

(5) Euclidean 3-space.

## Abstract

This study introduces the N-Bishop frame and Its Spherical Indicatrices. The N-Bishop frame, similar to the Bishop frame, is obtained by rotating the alternative frame {$N, C, W$} around the principal normal vector by giving angle. It is an orthonormal frame, consisting of the principal normal vector N of given curve and to vectors {$M_{1N}, M_{2N}$} from the plane perpendicular to N; these vectors are linearly independent and remain relativell parallel to the perpendiculaire plane of N. This basis must satisfy the conditions expressed in the following matrix formula

$$ \begin{bmatrix} N' \\ M_{1N}' \\ M_{2N}' \end{bmatrix} = \begin{bmatrix} 0 & k_{1N} & k_{2N} \\ -k_{1N} & 0 & 0 \\ -k_{2N} & 0 & 0 \end{bmatrix} \begin{bmatrix} N \\ M_{1N} \\ M_{2N} \end{bmatrix} $$

The set {$N, M_{1N}, M_{2N}$}, called the N-Bishop frame, with $k_{1N}$ and $k_{2N}$ representing the N-Bishop curvatures, satisfies the following matrix relations:

$$ \begin{bmatrix} N \\ C \\ W \end{bmatrix} = \begin{bmatrix} 1 & 0 & 0 \\ 0 & \cos \theta & \sin \theta \\ 0 & -\sin \theta & \cos \theta \end{bmatrix} \begin{pmatrix} N \\ M_{1N} \\ M_{2N} \end{pmatrix} $$

This leads to the relations between the invariants of the alternate frame $f, g$ and the N-Bishop invariants $k_{1N}$ and $k_{2N}$:

$$ f = \sqrt{k_{1N}^2 + k_{2N}^2}, \quad g = \theta', \quad k_{1N} = f \cos \theta, \quad k_{2N} = f \sin \theta $$

Let $\varphi = \varphi(s)$ be a regular curve in space $E^3$. If we translate the second (resp. third) vectors fields of the N-Bishop frame to the center of the unit sphere $S^2$, we obtain a spherical curve called the Spherical Image of the $M_{1N}$ (resp. $M_{2N}$) vector of the N-Bishop frame or the indicatrix of the curve $\varphi = \varphi(s)$.

By analyzing the spherical indicatrices derived from this frame, the work provides new geometric characterizations of curves, particularly slant helices. Key results establish explicit relationships between N-Bishop invariants and traditional Frenet invariants, offering a refined approach to curve analysis.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] L. R. Bishop, "There is More Than one Way to Frame a Curve," Amer. Math. Monthly, vol. 82, no. 3, pp. 246-251, 1975.

[2] A. T. Ali, "New special curves and their spherical indicatrices," arXiv:0909.2390 [math.DG], 2009.

[3] M. Izid, A. Ouazzani, et al., "New Characterization for Special Curves Using the Spherical Indicatrices," Transnational Journal of Mathematical Analysis and Applications, vol. 1, no. 1, pp. 1-55, 2013.

[4] M. Izid, A. Ouazzani, et al., "On Serret-Frenet Invariants of Bishop Indicatrices," Int. J. Math. Sci. Eng. Appl., vol. 8, no. IV, pp. 7-17, July 2014.
<figure><img src="image_93.png" /></figure>

The Coho;ological for an elliptic system p lqplqcien coupled critical terms and concave-convex nonlinearities

**Communication Info**

**Authors:**

ABDESLAM EL YAHAI

Rachid ECHARGHAOUI²

¹Department of
Mathematics, Faculty of
Sciences, Ibn Tofail
University, Kenitra B. P. 133,
Morocco.

**Keywords:**

((1) Multi-critical problem.

(2) Multiple solutions.

(3) Elliptic equation

**Abstract**

In present paper, we investigate the existence of multiple positive solutions to the following multi-critical elliptic problem

$$ \left\{ \begin{array}{l} -\Delta u = \lambda |u|^{p-2} u + \sum_{i=1}^{k} \left( |x|^{-(N-\alpha_i)} * |u|^{2_i} \right) |u|^{2_i - 2} u \quad \text{in } \Omega \\ u \in H_0^1(\Omega) \end{array} \right. \quad (0.1) $$

in connection with the topology of the bounded domain $\Omega \subset \mathbb{R}^N$,
$N \ge 4$, where $\lambda > 0$, $2_i^* = \frac{N+\alpha_i}{N-2}$ with $N - 4 < \alpha_i < N$, $i = 1, 2,$
$\dots$, $k$ are critical Hardy-Littlewood-Sobolev exponents and
$2 < p < 2^* = \frac{2N}{N-2}$. We show that there is $\lambda^* > 0$ such that if
$0 < \lambda < \lambda^*$ problem (0.1) possesses at least $cat_\Omega(\Omega)$ positive solutions. We also study the existence and uniqueness of positive solutions for the limit problem of (0.1).

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

1. Alves, C.O., Ding, Y.H.: Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity. J. Math. Anal. Appl. 279, 508-521 (2003)
2. Bahri, A., Coron, J.M.: On a nonlinear elliptic equation involving the Sobolev exponent: the effect of the topology of the domain. Commun. Pure Appl. Math. 41, 253-294 (1988)
3. Benci, V., Cerami, G.: Positive solutions of some nonlinear elliptic problems in exterior domains. Arch. Ration. Mech. Anal. 99, 283-300 (1987)
4. Benci, V., Cerami, G.: The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems. Arch. Ration. Mech. Anal. 114, 79-93 (1991)
5. Brézis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Commun. Pure Appl. Math. 36, 437-477 (1983)
<figure><img src="image_94.png" /></figure>

Study of Nonlinear Elliptic Equations with Measurable
Boundary Conditions in Anisotropic Weighted Sobolev Spaces

**Communication Info**

**Authors:**

SAID AIT DADA ALLA¹
Badr ELHaji²

¹,² LaR2A, FS Tetouan, Maroc

**Keywords:**

(1) Anisotropic weighted
Sobolev spaces

(2) Monotonicity conditions

(3) Minty's, lemma,

**Abstract**

The novelty of this note is to establish
existence result for the following
anisotropic elliptic equation

- div $B(x, \vartheta, \nabla\vartheta)$ + $H(x, \vartheta) = f$ - div $F$
where the datum $f \in L^1(\Omega)$ and

$F \in \prod_{i=1}^{N} L_{i}^{p'}(\Omega, \omega^{*})$ and $H(x, \vartheta) \in L^{1}(\Omega)$.

Furthermore only the large
monotonicity conditions will be
assumed on $B(x, s, \xi)$.

To overcome this difficulty we will use
the approach of Minty's lemma in the
anisotropic weighted Sobolev spaces.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Akdim, Y. Azroul, E. & Rhoudaf, M. (2008). Existence of T-solution for degenerated problem via Minty's Lemma. Acta Math. Sinica (English Ser.), 24, 431-438.

[2] Azroul, E., Bouziani, M., & Barbara, A. (2021). Existence of entropy solutions for anisotropic quasilinear degenerated elliptic problems with Hardy potential. SeMA Journal. https://doi.org/10.1007/s40324-021-00247-0

[3] O. Azraibi, B.EL haji, M. Mekkour, On Some Nonlinear Elliptic Problems with Large Monotonocity in Musielak Orlicz'a Sobolev Spaces, Journal of Mathematical Physics, Analysis, Geometry 2022, Vol. 18, No. 3, pp. 1-11

[4] L. Boccardo, L. Orsina, Existence Results for Dirichlet Problem in L1 via Minty's lemma, Applicable Ana (1999) pp 309-313 [5] Authors, Title Journal, Volume, Year, Pages.
Compartmental Model of Kidney Function Decline
Under the Influence of Diabetes and Hypertension

**Communication Info**

**Authors:**

Ahlam ELKHETTAB¹

Imane ELBERRAI ²

¹ Hassan 2 University,
Casablanca, Morocco

² Hassan 2 University,
Casablanca, Morocco

**Keywords:**

(1) Chronic Kidney Disease

(2) Compartmental Model

(3) Mathematical Modeling

(4) Disease Progression

(5) Ordinary Differential
Equations

(6) Renal Function Decline

**Abstract**

Chronic kidney disease (CKD) is a major public health concern, often driven by underlying conditions such as diabetes and hypertension. This study presents a compartmental model to analyze the progression of kidney function decline under the influence of these risk factors.

The system is modeled using a set of ordinary differential equations (ODEs) describing the evolution of each compartment over time. Simulations demonstrate that without intervention, the proportion of individuals in CKD increases significantly, whereas appropriate treatment and disease management slow progression. This model provides a quantitative framework to assess the impact of risk factors and treatment strategies on kidney function decline, offering valuable insights for public health planning and clinical decision-making.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Lin YC, Chang YH, Yang SY, Wu KD, Chu TS. Update of pathophysiology and management of diabetic kidney disease. *Journal of the Formosan Medical Association*. 2018;117(8):662-675.

[2] Anderson S, Brenner BM. Pathogenesis of diabetic glomerulopathy: the role of glomerular hyperfiltration. In: Mogensen CE, ed. *The Kidney and Hypertension in Diabetes Mellitus*. Springer US; 1988:17-30.

[3] Hostetter TH. Hyperfiltration and glomerulosclerosis. *Seminars in Nephrology*. 2003;23(2):194-199.

[4] Soldatos G, Cooper ME. Diabetic nephropathy: important pathophysiologic mechanisms. *Diabetes Research and Clinical Practice*. 2008;82(Suppl 1):S75-S79.

[5] Wolffenbuttel BHR, Boulanger CM, Crijns FRL, Huijberts MSP, Poitevin P, et al. Breakers of advanced glycation end products restore large artery properties in experimental diabetes. *Proceedings of the National Academy of Sciences*. 1998;95(8):4630-4634.
<figure><img src="image_95.png" /></figure>

# Unveiling the Mathematical Marvels: Exploring Differential and Integral Equations for Multivariate Hermite-Frobenius-Genocchi Polynomials

## Communication Info

**Authors:**

Musawa ALMUSAWA¹

Khalid ALDAWSARI ²

Waleed HAMALI¹

¹ Jazan University, Jazan,
Saudi Arabia

² Prince Sattam Bin Abdulaziz
University, AlKharj, Saudi
Arabia

**Keywords:**

(1) Multi-variate Hermite-
Frobenius-Genocchi
polynomials

(2) Volterra integral equation

(3) Shift operators

## Abstract

In this article, a novel family of multi-variate Hermite-Frobenius-Genocchi polynomials is constructed and its several characterizations are observed. The properties of these polynomials, such as recurrence relations and shift operators, are investigated. Differential equations, partial differential equations, and integrodifferential equations satisfied by these polynomials are derived using the factorization method. Additionally, the Volterra integral equation is derived for these multi-variate Hermite-Frobenius-Genocchi polynomials, which enhances the understanding and application of the factorization method in physics and engineering.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] S. Khan, G. Yasmin, M. Riyasat, Certain results for the 2-variable Apostol type and related polynomials, Comput. Math. Appl. 69 (2015) 1367-1382

[2] P. Hernández-Llanos, Y. Quintana, A. Uriles, About Extensions of Generalized Apostol-Type Polynomials, Results. Math. 68 (2015) 203–225.

[3] S. Araci, M. Acikgoz, A note on the Frobenius-Genocchi numbers and polynomials associated with Bernstein polynomials, Adv. Stud. Contemp. Math. (Kyungshang), 22 (2012) 399–406.

[4] S. Araci, M. Acikgoz, On the von Staudt-Clausen's theorem related to q-Frobenius-Genocchi numbers, J. Number Theory 159 (2016) 329-339.

[5] Y. He, S. Araci, H.M. Srivastava, M. Acikgoz, Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials, Appl. Math. Comput. 262 (2015) 31–41.
<figure><img src="image_96.png" /></figure>

# About Critical 3- Hypergraphs

## Communication Info

**Authors:**

Abderrahim Boussaïri¹
Brahim Chergui¹
Pierre Ille²
Mohamed Zaidi¹

¹Laboratoire Mathématiques
Fondamentales et Appliquées,
Faculté des Sciences Aïn
Chock, Hassan II University of
Casablanca, Morocco

²Aix Marseille Univ, CNRS,
Centrale Marseille, I2M,
Marseille, France

**Keywords:**

(1) 3-Hypergraph

(2) Module

(3) Prime

(4) Critical

## Abstract

Given a 3-hypergraph H, a subset M of V(H) is a module of H if for each $e \in E(H)$ such that $e \cap M \neq \emptyset$ and $e \setminus M \neq \emptyset$, there exists $m \in M$ such that $e \cap M = \{m\}$ and for every $n \in M$, we have $(e \setminus \{m\}) \cup \{n\} \in E(H)$. For example, $\emptyset$, $V(H)$ and $\{v\}$, where $v \in V(H)$, are modules of H, called trivial modules. A 3-hypergraph with at least three vertices is prime if all its modules are trivial. Furthermore, a prime 3-hyper-graph is critical if all its induced subhypergraphs, obtained by removing one vertex, are not prime. We characterize the critical 3-hypergraphs.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Boudabbous, Y., Ille, P.: Indecomposability graph and critical vertices of an indecomposable graph. Discrete Math. 309, 2839-2846 (2009)

[2] Boudabbous, Y., Ille, P., Jouve, B., Salhi, A.: Critically twin primitive 2-structures. Graphs Combin. 31, 1223-1247 (2015)

[3] Boussaïri, A., Chergui, B., Ille, P., Zaidi, M.: 3-uniform hypergraphs: modular decomposition and realization by tournaments. Contrib. Discrete Math. 15, 121-153 (2020)

[4] Boussaïri, A., Chergui, B., Ille, P., Zaidi, M.: Prime 3-uniform hypergraphs. Graphs Combin. 37, 2737-2760 (2021)

[5] A. Boussaïri, B. Chergui, P. Ille, M. Zaidi, Critical 3-hypergraphs, Graphs Combin. 39 (2023), Paper 3.

[6] Boussaïri, A., Ille, P., Lopez, G., Thomassé, S.: The C3-structure of the tournaments. Discrete Math. 277, 29-43 (2004).

[7] Ille, P.: Recognition problem in reconstruction for decomposable relations. In: Sands, B., Sauer, N., Woodrow, R. (eds.) Finite and Infinite Combinatorics in Sets and Logic, pp. 189-198. Kluwer Academic Publishers, New York (1993)

[8] Ille, P.: Indecomposable graphs. Discrete Math. 173, 71-78 (1997)
Skew-adjacency matrices of tournaments

**Communication Info**

**Authors:**

Abderrahim BOUSSAIRI¹

Sara EZZAHIR ¹

Soufiane LAKHLIFI²

Soukaina MAHZOUM¹

¹ Laboratoire Mathématiques
Fondamentale et Appliquées,
Faculté des Sciences Ain Chock,
Casablanca, Morocco

² Computer Science & Smart
Systems Laboratory, Ecole
Supérieure de Technologie,
Casablanca, Morocco.

**Keywords:**

(1) Tournament

(2) Skew-adjacency matrix

(3) Principal minor

**Abstract**

Let $T$ be a tournament with $n$ vertices $v_1, ..., v_n$. The skew-adjacency matrix of $T$ is the $n \times n$ zero-diagonal matrix $S = [s_{ij}]$ in which $s_{ij} = -s_{ji} = 1$ if $v_i$ dominates $v_j$. It is well-known that the determinant of $S$ is zero or the square of an odd integer [1]. Moreover, the principal minors of $S$ are at most 1 if and only if $T$ is a local order [2,3]. In this paper, we characterize the class of tournaments for which the principal minors of the skew-adjacency matrix do not exceed 9 [4].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Clifford A. McCarthy, Arthur T. Benjamin, Determinants of the tournaments, Math. Mag. 69 (2) (1996) 133-135.

[2] László Babai, Peter J. Cameron, Automorphisms and enumeration of switching classes of tournaments, Electron. J. Comb. 7 (1) (2000) R38.

[3] Peter J. Cameron, Orbits of permutation groups on unordered sets, II, J. Lond. Math. Soc. 2 (2) (1981) 249-264.

[4] Abderrahim Boussaïri, Sara Ezzahir, Soufiane Lakhlifi, Soukaïna Mahzoum, Skew-adjacency matrices of tournaments with bounded principal minors. Discrete Math. 346 (10) (2023).
SEQUENTIAL CALCULUS RULE FOR CODERIVATIVE
AND APPLICATION

**Communication Info**

**Authors:**

ECHCHAABAOUI EL MAHJOUB
LAGHDIR MOHAMED

¹ Université Chouaib Doukali

**Keywords:**

Cone-Convex Set-Valued
Datasets, Set-Valued
Analysis, Set-Valued
Optimization

**Abstract**

The main aim of this paper is to present a general description of the calculus rules for coderivatives of set-valued mappings between Banach spaces in terms of sequences, without requiring any constraint qualifications. Additionally, an application for calculating coderivatives of solution maps in parameterized generalized equations is included.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] M. Laghdir, E. Echchaabaoui, "Pareto subdifferential calculus for convex set-valued mappings and applications to set optimization," \textit{Journal of Applied and Numerical Optimization}, vol. 4, no. 3, pp. 201-218, 2022.

[2] E. Echchaabaoui, M. Laghdir, "Strong subdifferential calculus for convex set-valued mappings and applications to set optimization," Applied Set-Valued Analysis and Optimization, vol. 4, pp. 223-237, 2022.
Boas-type theorems for the modified Whittaker transform

**Communication Info**

**Authors:**

Mohammed EL BOUAZIZI¹

Mohamed EL HAMMA ²

Radouan DAHER ³

¹ Faculté des sciences Aïn chock – Casablanca, Maroc.

² Faculté des sciences Aïn chock – Casablanca, Maroc.

³ Faculté des sciences Aïn chock – Casablanca, Maroc.

**Keywords:**

(1) Modified Whittaker transform.

(2) Generalized translation operator.

(3) Lipschitz classes.

**Abstract**

Boas's theorem is crucial in harmonic analysis because it provides sufficient conditions for the convergence of Fourier series, thereby extending classical results to less regular functions. It plays a key role in studying the convergence and regularity properties of trigonometric series. In this paper, we establish necessary and sufficient conditions in terms of $F_W(f)$, the modified Whittaker transform of $f$, to determine whether $f$ belongs to one of the generalized Lipschitz classes $H_\delta^p$ and $h_\delta^p$. By using the modified Whittaker transform, we introduce a formal framework that connects the properties of the function $f$ to the mentioned classes. This work thus provides a more precise mathematical approach to studying functions in contexts where regularity and Lipschitz properties are crucial. The results obtained are particularly valuable for applications in harmonic analysis and in functional spaces where these classes play a key role in understanding the structure of functions.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] F.Soltan, S.Aledawish Generalization of Titchmarsh's theorem for the modified Whittaker transform, Integral Transforms and Special Functions, VOL.34, NO.3,261-273 (2023).

[2] Sousa R, Guerra M, Yakubovich S. L'evy processes with respect to the Whittaker convolution. Trans Am Math Soc. 2021;374:2383-2419.

[3] Banerjee, P.P., Nehmetallah, G., Chatterjee, M.R, Numerical modeling of cylindrically symmetric nonlinear self-focusing using an adaptive fast Hankel split-step method, Opt. Commun. 249(1-3), 293-300 (2005).

[4] E.Loualid, E.Berkak and R.Daher Boas-type theorems for the q-Bessel transform Analysis and Mathematical Physics (2021) 11:102.

[5] Gargati, A.E., Berkak, I. and Loualid, E.M. Boas-type theorems for the free metaplectic transform. Ann Univ Ferrara 70, 1491-1507 (2024). https://doi.org/10.1007/s11565-024-00522-8.
## About the Spectral Theory of Graphs and Two-graphs

**Communication Info**

**Authors:**

Imane SOUKTANI¹

Abderrahim BOUSSAIRI²

Mohamed Zouagui³

¹Hassan II University, FSAC,
Casablanca

²Hassan II University, FSAC,
Casablanca

³International University,
Casablanca

**Keywords:**

(1) Graph

(2) Two-graph

(3) Spectral monomorphy

**Abstract**

A two-graph is k-spectrally monomorphic if all its sub-two-graphs have the same characteristic polynomial. The complete two-graphs and the empty two-graphs are trivially k-spectrally monomorphic. In this paper, we show that there are no others for $k \in \{3, ..., n-3\}$. Moreover, we prove that for $n \ge 5$, a non-trivial two-graph with $n$ vertices is $(n-2)$ spectrally monomorphic if and only if it is regular.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] K. Attas, A. Boussaïri, and I. Souktani. Characterization of k-spectrally monomorphic hermitian matrices. Discrete Mathematics, Algorithms and Applications: 2025.

[2] A. Boussaïri, I. Souktani, I. Talbaoui, and M. Zouagui. K-spectrally monomorphic tournaments. Discrete Mathematics, 345(5):112804, 2022.

[3] A. Boussaïri, I. Souktani, M. Zouagui. Characterization of k-spectrally monomorphic two-graphs. Linear Algebra and its Applications, 695 (2024): 28-48.

[4] G.E. Moorhouse. Two-graphs and skew two-graphs in finite geometries. Linear Algebra and its Applications, 226:529-551, 1995.

[5] J.J. Seidel. A survey of two-graphs. Geometry and Combinatorics, pages 146-176, 1991.

[6] J.J. Seidel and D.E. Taylor. Two-graphs, a second survey. In Geometry and Combinatorics, pages 231-254. Elsevier, 1991.

[7] E. Spence. Regular two-graphs on 36 vertices. Linear algebra and its applications, 226:459-497, 1995.
Iterative algorithm for a common solution of split
equilibrium problems and fixed points problems of
a finite family of nonexpansive mapping

**Communication Info**

**Authors:**

Ihssane HAY¹

¹ Equipe MAISI, Ibn Zohr
University, ENSA, BP 1136,
Agadir, Morocco.

**Keywords:**

(1) Split equilibrium problem

(2) Fixed point problem

**Abstract**

The main objective of this paper is to study a new
iterative method for solving a split equilibrium problem
and fixed point of a finite family of non-expansive
mapping in a real Hilbert space. Under some suitable
assumptions, we prove the strong convergence of our
method presented in this paper to the common element
of the solution set of split equilibrium problems and the
set of fixed points problems in the setting of Hilbert
space. Moreover, we give a numerical example to
illustrate the efficiency of our proposed iterative
method. Our results improve some existing methods in
recent literature.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] J. Deepho, W. Kumam, P. Kumam, A new hybrid projection algorithm for solving the split generalized equilibrium problems and the system of variational inequality problems; Journal of Mathematical Modelling and Algorithms in Operations Research, volume 13, Issue 4, 2014, pp 405-423.

[2] W. Shenghua, G. Xiaoying, K. Shinmin (2016), Strong convergence theorem on split equilibrium and fixed point problems in Hilbert spaces; Bulletin of the Malaysian Mathematical Sciences Society, volume 41, Issue 3, 2016, pp 1309-1326.
# Hyperbolic Differential Equation with Fuzzy Parameters

**Communication Info**

**Authors:**

Bouchra BEN AMMA¹

Said MELLIANI²

Lalla Saadia CHADLI²

¹LMACS, Higher School of Education and Training, Sultan Moulay Slimane University, Beni Mellal, Morocco.

² LMACS, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, Beni Mellal, Morocco.

**Keywords:**

(1) Intuitionistic fuzzy number.

(2) Intuitionistic fuzzy solutions.

(3) Fixed Point.

**Abstract**

This paper examines boundary value problems for partial hyperbolic differential equations with fuzzy boundary conditions. A new weighted metric is introduced to investigate the existence and uniqueness of fuzzy solutions to these problems in a complete fuzzy metric space. A numerical example is provided to demonstrate the effectiveness of the proposed theory.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] R. P. Agarwal, M. Benchohra, D.O'Regan, A. Ouahab, Fuzzy solutions for multipoint boundary value problems. Memoirs on Differential Equations and Mathematical Physics, Vol.35, pp.1-14(2005).

[2] A. Arara, M. Benchohra, Fuzzy solutions for boundary value problems with integral boundary conditions. Acta Mathematica Universitatis Comenianae, Vol.75, pp.119-126(2006).

[3] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol.20, pp.87-96 (1986).

[4] B. Ben Amma, S. Melliani, L. S. Chadli, Intuitionistic Fuzzy Functional Differential Equations, Fuzzy Logic in Intelligent System Design : Theory and Applications, Ed. Cham : Springer International Publishing, pp.335-357 (2018).

[5] N. A. A Rahman, M. Z. Ahmad, Solution of fuzzy partial differential equations using fuzzy Sumudu transform. AIP Conference Proceedings 1775 (2016).

[6] L. A. Zadeh, Fuzzy sets, Inf. Control, Vol.8, pp.338-353 (1965).
<figure><img src="image_97.png" /></figure>

5D Black Holes and Black strings from
M-Theory in Complete Intersection
Calabi-Yau
Three-folds (CICY3).

<table><thead><tr><th>Communication Info</th><th>Abstract</th></tr></thead><tbody><tr><td><strong>Authors:</strong><br>BOUHOUCH Abderrahim <sup>1</sup><br><br><sup>1</sup> Departement de Physique, Equipe des Sciences de la matière et du rayonnement, ESMaR, Faculte des Sciences, Université Mohammed V de Rabat, Rabat, Morocco.<br><br><strong>Keywords:</strong><br>(1) Calabi-Yau manifolds<br>(2) M-theory<br>(3) Black objects<br>(4) Weighted Projective Spaces</td><td>Using N = 2 supergravity formalism, we investigate certain behaviors of five dimensional black objects from the compactification of M-theory on a Calabi-Yau three-fold. The manifold has been constructed as the intersection of two homogeneous polynomials of degrees (ω +2,1) and (2,1) in a product of two weighted projective spaces given by WP<sup>4</sup>(ω, 1,1,1,1) × P<sup>1</sup>. Firstly, we determine the allowed electric charge regions of the BPS and non BPS black holes obtained by wrapping M2-branes on appropriate two cycles in such a proposed Calabi-Yau three-fold. Secondly, we show that the non BPS states are unstable for generic values of ω. Finally, we conduct a similar study of five dimensional black strings and we show that the non-BPS black string states are stable in the allowed regions in the magnetic charge space by determining the recombination factor.</td></tr></tbody></table>

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] A.belhaj and **A.bouhouch**, Behaviors of black holes and black strings in M-theory on Calabi-Yau manifolds, doi.org/10.1142/S021988782450169X.

[2] A.belhaj and **A.bouhouch**, On stability behaviors of 5D M-theory black objects, Communications in Theoretical Physics, arXiv: 2403.16724v1 25 Mar 2024.
Mathematical modeling of improving the understanding of a mathematical concept learned by a teacher of mathematics with optimal control

**Communication Info**

**Authors:**

Soukaina HILAL<fnref n="1" />

Youssef BENFATAH<fnref n="1" />

Hassan LAARABI<fnref n="1" />

Mostafa RACHIK<fnref n="1" />

**Keywords:**

(1) Mathematical concept

(2) Discrete time model

**Abstract**

The aim of this paper is to increase the number of excellent learners studying a new mathematical concept presented by a teacher of mathematics. For this reason we consider a LLRSRR discrete time model where L refer to Learners who have no idea of the presented mathematical concept, LR Learners who have weak misrepresentation (not well understand the new concept), SR Learners who have strong misrepresentation (very bad understanding the concept) and R denote the class of Learners who become master of such concept. An experimental study involving 106 students of Morocco in ninth grade was performed (three different classes of such level). The results revealed that working on various activities related to the studied concept, provide a variety of teaching methods and support by the professor and parents tore-explain the concept allows learners to well understand the new mathematical concept.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Scarpello, G. (2007). Helping Students Get Past Math Anxiety. Techniques: Connecting Education and Careers (J1), 82(6), 34-35.

[2] Aneshkumar Maharaj, An APOS analysis of students' understanding of the concept of a limit of a function, Pythagoras, vol. 2010, p. 41-52, 2010.

[3] Roselizawati Hj Sarwadi, H., & Shahrill, M. (2014). Understanding Students' Mathematical Errors and Misconceptions: The Case of Year 11 Repeating Students. Mathematics Education Trends and Research, 2014, 1-10.

[4] Bernold, L. E., Spurlin, J. E. & Anson, C. M. (2007) Understanding our students: a longitudinal-study of success and failure in engineering with implications for increased retention. J. Eng. Educ., 96, 263-274.

<footnote n="1">¹ Faculty of Sciences Ben M'Sik
Casablanca Morocco</footnote>
Image denoising via optimal control of the
diffusivity function in the Perona-Malik model

**Communication Info**

**Authors:**

Kawtar LEHRIZI¹
Omar GOUASNOUANE¹
Anouar BENLOGHFYRY²
Noureddine MOUSSAID¹

¹ LMCA, FSTM, Hassan 2,
University, Casablanca,
Morocco

**Keywords:**

(1) Optimal control

(2) Perona-Malik

(3) diffusivity

**Abstract**

In this work, we propose a novel model for image denoising inspired by the well-known Perona-Malik model. To address the inherent limitations of the Perona-Malik equation, such as the staircasing effect and contrast loss, we introduce an innovative approach based on the optimal control of the diffusivity function. By adaptively regulating the diffusion process, our model effectively enhances noise suppression while preserving crucial image features. Comparative evaluations against state-of-the-art models demonstrate the superiority of our approach in maintaining structural details and achieving improved denoising performance

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Anouar Ben-loghfry, Abderrahim Charkaoui, chaos solitons and fractals, 2023, 23.

[2] Addouch R., Moussaid N. Gouasnouane O., Ben-Loghfry A., Total fractional-order variation and bilateral filter for image denoising, Vol. 11, No. 3, pp. 642–653, 2024
<figure><img src="image_98.png" /></figure>

Integrodifferential evolution systems with
nonlocal initial conditions

**Communication Info**

**Authors:**

Khalil EZZINBI¹
Sylvain KOUMLA²
Nelio N'DOGOTAR³

¹Cadi Ayyad University,
ezzinbi@uca.ac.ma

²* Adam Barka
University, Abeche, Chad,
E-mail: skoumla@gmail.com

³ University of Sarh
Sarh, Chad, E-mail:
neliondogotar@gmail.com

**Keywords:**

Integrodifferential equations,
Nonlinear evolution equation;
nonlocal initial condition;
delay; Krasnoselskii's fixed
point theorem for a sum of
operators, resolvent operators

**Abstract**

The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. We suppose that undelayed part admits a resolvent operator in the sense given by Grimmer in [Grimmer, R., Resolvent operators for integral equations in Banach space. Transaction of American Mathematical Society. 273 (1982) 333-349]. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on matrices, vector-valued norms and a vector version of Krasnoselskii's fixed point theorem for a sum of two operators. The assumptions take into account the support of the nonlocal initial conditions and the hybrid character of the system. Two examples are given to illustrate the theory.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Bolojan, O., and Precup, R., Hybrid delay evolution systems with nonlinear constraints, Dynam. Systems Appl., 27 (2018), 773-790.

[2] Grimmer, R., Resolvent operators for integral equations in Banach space, Transaction of American Mathematical Society, 273 (1982), 333-349.

[3] Koumla, S., and Precup, R., Integrodifferential evolution systems with nonlocal initial conditions, Stud. Univ. Babeș-Bolyai Math. 65 (2020), no. 1, 93-108.

[4] Precup, R., The role of matrices that are convergent to zero in the study of semilinear operator systems, Math. Comp. Modelling 49 (2009), 703-708.
<figure><img src="image_99.png" /></figure>

Double Conformable Fourier Transform

**Communication Info**

**Authors:**

Khadija ELGOURMATI¹

Rachid BAHLOUL²

¹,² Department of Mathematics,
poli-disciplinary faculty, Sultan
Moulay Slimane
University, Beni Mellal,
Morocco.

**Keywords:**

(1) Conformable derivative.

(2) Conformable

(3) Fourier transform.

**Abstract**

Using the new definition of the α-conformable derivative introduced by Khalil et al. (2014), we provide a new definition of double conformable Fourier transform, called an (α, β)-conformable Fourier transform, and we use it to find the transform of the (λ, μ)-derivative of a function and its corresponding integral. Further, we establish several important results for such a transform, including its relation to the usual Fourier transform and its convolution theorem. Finally, we employ the (λ, μ)-Fourier transform to solve an (λ, μ)-conformable differential equations.

© ICRAMCS 2025 Proceedings ISSN: 2605-

**References**

[1] Abdeljawad Thabet. On conformable fractional calculus. Journal of Computational and Applied Mathematics, 279:57-66, 2015.

[2] Ding and Wang. Conformable linear and nonlinear non-instantaneous impulsive differential equations. Electronic Journal Differential Equations, 1-19, 2020.

[3] Keyantuo and Lizama. Fourier multipliers and integro-differential equations in Banach spaces. Journal of the London Mathematical Society, 69(3):737-750, 2004.

[4] Khalil and Abu Hammad. Fractional fourier series with applications. American Journal of Computational and Applied Mathematics, 4(6):187-191, 2014.

[5] Khalil Roshdi, Al Horani and Sababheh. A new definition of fractional derivative. Journal of Computational and Applied Mathematics, 264:65-70, 2014.

[6] Kilbas Samko and Marichev. Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach, Yverdon, 1993.

[7] Yang Zhou and Zhang. Conformable derivative approach to anomalous diffusion. Physica A: Statistical Mechanics and its Applications, 491:1001-1013, 2018.
Efficient blind image deconvolution using Sobolev space priors and
GCV-based parameter estimation

**Communication Info**

**Authors:**

Bouchra LAAZIRI¹
Abdelilah HAKIM¹
Said RAGHAY¹

¹ Department of Mathematics,
FSTG, University of Cadi
Ayyad, Marrakesh, Morocco

**Keywords:**

(1) Blind image
deconvolution

(2) supervised Bayesian
approach

(3) regularization

**Abstract**

Classical image deconvolution aims to estimate the true
image when the blur kernel (or point spread function, PSF)
of the blurring system is known a priori [1]. In contrast,
blind image deconvolution tackles the more challenging—
yet more realistic—problem where the PSF is unknown [2,
3].

Bayesian inference with appropriate priors on both the
image and the blur has been successfully applied to this
blind problem [4], particularly using Gaussian priors and
joint maximum a posteriori (JMAP) estimation. However,
this approach tends to be unstable and often introduces
significant ringing artifacts in practical applications.
To address these limitations, we propose a regularized
version incorporating H¹ regularization terms for both the
sharp image and the blur kernel. We also present practical
techniques for estimating the smoothing parameters [5].
Our resulting algorithm is computationally efficient and
demonstrates superior performance compared to several
well-known methods in the literature.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] B. Laaziri, S. Raghay, A. Hakim, Regularized supervised Bayesian approach for image deconvolution with regularization parameter estimation, EURASIP J. Adv. Signal Process. 2020, (2020), 1–16.

[2] D.A. Fish, A.M. Brinicombe, E.R. Pike, J. G. Walker, Blind deconvolution by means of the Richardson-Lucy algorithm, JOSA A. 12, (1995), 58–65.

[3] F. Li, X.G. Lv, Z. Deng, Regularized iterative Weiner filter method for blind image deconvolution, J. Comput. Appl. Math. 336, (2018), 425–438.

[4] A. Mohammad-Djafari, Inverse problems in imaging systems and the general Bayesian inversion framework, J. Iran. Assoc. Electr. Electron. Eng. 3, (2006), 3–21.

[5] G. H. Golub, M. Heath, G. Wahba, Generalized cross-validation as a method for choosing a good ridge parameter. Technometrics. 21(2), (1979), 215–223.
Communication Info

Authors:

Jihane BAKKALI¹
Malika EL GAJQUI ²

¹ Enseignante chercheuse,
FSJES-Souissi, UMV-Rabat,
LARMODAD, Maroc

² Doctorante, FSJES-Souissi,
UMV-Rabat, LARMODAD,
Maroc

Keywords:

(1) E-learning

(2) TAM

(3) E-Takwine

Abstract

Les technologies de l'information et de la
communication (TIC) se sont imposées au fil des
dernières décennies. Le domaine de l'éducation se
trouve au cœur de cette dynamique [1]. Dans ce
contexte, le ministère de l'éducation nationale a mené
des initiatives telles que les projets d'apprentissage en
ligne [2].

Cet article analyse l'adoption de la plateforme E-Takwine par les enseignants marocains en s'appuyant sur le modèle TAM de Davis (1989)[3][4]. À travers un questionnaire en ligne, l'étude explore la perception de l'utilité et de la facilité d'utilisation de la plateforme, et l'impact sur l'intention d'utilisation. Nous intégrerons d'autres dimensions telles que l'influence du contexte socioculturel marocain [5] et les caractéristiques spécifiques de la plateforme étudiée. Les résultats permettront de formuler des recommandations pour améliorer l'adoption des plateformes d'apprentissage en ligne au Maroc.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] Huu Binh, N. "Fiabilité et validité du Modèle d'acceptation de la technologie (TAM) dans le contexte d'apprenants vietnamiens du français comme langue étrangère face aux TIC." Revue internationale des technologies en pédagogie universitaire / International Journal of Technologies in Higher Education, vol. 11, no. 3, 2014, pp. 38-50.

[2] EL ANOUAR, E. M., & EL ADNANI, M. J. "La contribution du e-learning dans le développement professionnel des enseignants." Revue Marocaine de l'Évaluation et de la Recherche en Éducation, vol. 8, 2022, pp. 224-241.

[3] Viswanath Venkatesh, & Fred D. Davis. "A Theoretical Extension of the Technology Acceptance Model: Four Longitudinal Field Studies." Management Science, vol. 46, no. 2, 2000, pp. 186-204.

[4] Atarodi, S., Berardi, A. M., & Toniolo, A.-M. "Le modèle d'acceptation des technologies depuis 1986 : 30 ans de développement." Psychologie du Travail et des Organisations, vol. 25, no. 3, septembre 2019, pp. 191-207.

[5] Martínez-Abad, F., García-Holgado, A., García-Peñalvo, F. J., Rodríguez-Conde, M. J. (2019). Questionnaire d'Acceptation des Technologies Éducatives par le corps Professoral des Universités Publiques Marocaines (Rapport technique GRIAL-TR-2019-008), pp. 1-8.
# Enhancing the T-Coffee Method for RNA Sequence Alignment through the Divide and Conquer Principle

## Communication Info

**Authors:**

Abdelhakim EL FATMI¹

M. Ali BEKRI ²

¹ Faculty of economics and management Ibn Tofail University, Kenitra, Morocco.

² Faculty of sciences Moulay Ismail University, Meknes, Morocco.

**Keywords:**

(1) Bioinformatics

(2) Multiple sequence alignment

(3) RNA

## Abstract

Multiple sequence alignment (MSA) is a fundamental tool in bioinformatics and has been the focus of numerous studies in recent years [1].

In this study, we propose a novel approach to MSA by improving the T-Coffee method through the application of the divide-and-conquer (DC) principle. The proposed method involves three steps. The first utilizes a DC strategy to detect similar regions among sequences and segment them into smaller parts. The second phase involves aligning the dissimilar regions using the well-established T-Coffee method. In the third phase, all regions identified in the first step are combined with the sub-alignments generated in the second phase to construct the complete alignment. To evaluate the effectiveness of our method, we compared it with several established methods for RNA MSA, including T-Coffee [2], Crustal Omega [3], Kaling [4], MAFFT [5], Muscle [6], and MARNA, using a dataset of 30 test cases from the Bralibase benchmark and the two parameters SPS (Sum-of-Pairs Score) and SCI (Structure Conservation Index). This comparative study demonstrated that our method consistently provided better results in most cases. The proposed method shows the highest average SPS (0.93) and SCI (0.96) compared to other methods.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Zong, F., Long, C., Hu, W., Chen, S., Dai, W., Xiao, Z.-X., Cao, Y.: Abalign: A comprehensive multiple sequence alignment platform for B-cell receptor immune repertoires. Nucleic Acids Research, 51(W1), 2023, pp. 17–24.

[2] Notredame, C., Higgins, D.G., Heringa, J.: T-coffee: A novel method for fast and accurate multiple sequence alignment. *Journal of Molecular Biology*, **302**(1), 2000, pp. 205–217.

[3] Sievers, F., Wilm, A., et al.: Fast, scalable generation of high-quality protein multiple sequence alignments using Clustal Omega. Molecular Systems Biology, 7(1), 2011, pp. 539.

[4] Lassmann, T., Sonnhammer, E.L.: Kalign-an accurate and fast multiple sequence alignment algorithm. BMC Bioinformatics, **6**, 2005, pp. 1–9.

[5] Katoh, K., Misawa, K., Kuma, K.-i., Miyata, T.: Mafft: a novel method for rapid multiple sequence alignment based on fast Fourier transform. *Nucleic Acids Research*, **30**(14), 2002, pp. 3059–3066.

[6] Edgar, R.C.: Muscle: Multiple sequence alignment with high accuracy and high throughput. Nucleic Acids Research, **32**(5), 2004, pp. 1792–1797.
Medical image analysis using machine learning models

**Communication Info**

**Authors:**

Khadija El Haddad<fnref n="1" />
Aissam Bekkari, <fnref n="2" />
Walid Bouarifi,<fnref n="2" />
Abdelilah JRAIFI <fnref n="1" />

**Keywords:**

(1) Machine Learning

(2) Stochastic Gradient Descent

(3) Linear Discriminant
Analysis

(4) Light GBM

(5) XGBoost

**Abstract**

The healthcare field presents a real challenge for professionals due to disease prediction complexity, patients' demand for high-quality care, and the large amount of data generated, including genomic data, medical records, and sensor data. Accurately analyzing this information is a tremendous issue. Machine Learning (ML) has revolutionized the medical field over the last decades by automating the analysis process using advanced algorithms. These algorithms allow accurate large-scale analysis, early-stage prediction of dangerous diseases, and improved medical practices.

Medical image analysis is fundamental for modern healthcare. It involves interpreting various types of data, such as MRIs, X-rays, and more.

This study is a comparative analysis of medical images exploring many existing studies such as [1-5] based on ML methods: XGBooster classifier, Light GBM (LGBM), Linear Discriminant Analysis (LDA), and Stochastic Gradient Descent (SGD), using two MRI datasets: Brain Tumors and Pneumonia datasets. The outcome of this research paper achieves an accuracy of 97%.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] M. Khuntia, P. K. Sahu, and S. Devi, "Prediction of presence of brain tumor utilizing some state-of-the-art machine learning approaches", International Journal of Advanced Computer Science and Applications, vol. 13, no. 5, 2022.

[2] C. E. Charlton, M. T. Poon, P. M. Brennan, and J. D. Fleuriot, "Development of prediction models for one-year brain tumour survival using machine learning: a comparison of accuracy and interpretability," Computer Methods and Programs in Biomedicine, vol. 233, p. 107482, 2023

[3] B. V. Baiju, S. Saravanan, M. S. Kumar, Mahalakshmi, J. Prabhu, and D. G. Teshite, "Detection and classification of brain tumor using hybrid deep learning models," Scientific Reports, vol. 13, p. 23029, 2023.

[4] M. S. Tahosin, M. A. Sheakh, T. Islam, R. J. Lima, and M. Begum, "Optimizing brain tumor classification through feature selection and hyperparameter tuning in machine learning models," Informatics in Medicine Unlocked, vol. 43, p. 101414, 2023.

[5] V. K. Dhakshnamurthy, M. Govindan, K. Sreerangan, M. D. Nagarajan, and A. Thomas, "Brain tumor detection and classification using transfer learning models," Engineering Proceedings, vol. 62, no. 1, 2024.

<footnote n="1">¹ National School of Applied
Sciences, Cadi Ayyad University
Country, Safi, Morocco</footnote>

<footnote n="2">² National School of Applied
Sciences, Cadi Ayyad University
Country, Marrakech, Morocco</footnote>
Efficient Lane Detection using Mobile U-Net
Model

**Communication Info**

**Authors:**

Najia AIT HAMMOU<fnref n="1" />,<fnref n="2" />
Hajar MOUSANNIF <fnref n="1" />
Brahim LAKSSIR <fnref n="2" />
Abdellah ELAISSAOUI <fnref n="3" />

**Keywords:**

(1) AI model

(2) Edge detection

(3) Image processing

(4) Row navigation

**Abstract**

Row navigation is a key technique often used for agricultural tasks such as weeding or harvesting, ensuring autonomous movement between crop rows. In order to follow a precise trajectory, avoid obstacles, and work in varied conditions, the robot must stay aligned with the crop rows, detect and avoid objects or uncultivated areas, and adapt to changes using only computer vision with a camera. The principle relies a priori on image processing, especially edge detection. Lane detection is a fundamental problem of inter-row navigation, which necessitates the use of an artificial intelligence (AI) model in order to provide effective and autonomous robot guiding. This research begins with a brief review showing the importance of applying AI for lane detection in agricultural fields. Next, we present the steps involved in implementing an appropriate model, Mobile U-Net, going through data preparation, data pre-processing, configuration of Mobile U-Net, training, and ending with the evaluation stage to test the effectiveness of this model on our data.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] J. Jing, Z. Wang, M. Rätsch, et H. Zhang, « Mobile-Unet: An efficient convolutional neural network for fabric defect detection », *Textile Research Journal*, vol. 92, p. 004051752092860, mai 2020, doi: 10.1177/0040517520928604.

[2] « Edge Detection in Image Processing: An Introduction », Roboflow Blog. Consulté le: 26 octobre 2024. [En ligne]. Disponible sur: https://blog.roboflow.com/edge-detection/

[3] F. T. Johnson et J. Akerele, « ARTIFICIAL INTELLIGENCE FOR WEED DETECTION - A TECHNO-EFFICIENT APPROACH », *ICTACT JOURNAL ON IMAGE AND VIDEO PROCESSING*, vol. 11, nº 02, 2020.

[4] J. D. Choi et M. Y. Kim, « A sensor fusion system with thermal infrared camera and LiDAR for autonomous vehicles and deep learning based object detection », *ICT Express*, vol. 9, nº 2, p. 222-227, avr. 2023, doi: 10.1016/j.icte.2021.12.016.

[5] Z. Jiao, K. Huang, Q. Wang, Z. Zhong, et Y. Cai, « Real-time litchi detection in complex orchard environments: A portable, low-energy edge computing approach for enhanced automated harvesting », *Artificial Intelligence in Agriculture*, vol. 11, p. 13-22, mars 2024, doi: 10.1016/j.aiia.2023.12.002.

[6] O. Ronneberger, P. Fischer, et T. Brox, « U-Net: Convolutional Networks for Biomedical Image Segmentation », in *Medical Image Computing and Computer-Assisted Intervention – MICCAI 2015*, vol. 9351, N. Navab, J. Hornegger, W. M. Wells, et A. F. Frangi, Éd., in Lecture Notes in Computer Science, vol. 9351., Cham: Springer International Publishing, 2015, p. 234-241. doi: 10.1007/978-3-319-24574-4_28.

<footnote n="1">¹ Cadi Ayyad University,
Marrakech, Morocco</footnote>

<footnote n="2">² MASCIr Foundation UM6P,
Benguerir, Morocco</footnote>

<footnote n="3">³ INRA, Settat, Morocco</footnote>
# Enhancing Thoracic Disease Classification Using YOLOv8n-cls: A Lightweight Deep Learning Approach

## Communication Info

**Authors:**

Hanan SABBAR¹

Hassan SILKAN¹

Khalid ABBAD²

Khalid BELLFKIH³

¹ Chouaib Doukkali University, El Jadida, Morocco

² Sidi Mohamed Ben Abdellah University, Fez, Morocco

³ Hassan II University, El Jadida, Morocco

**Keywords:**

(1) YOLOv8

(2) Thoracic disease classification

(3) Chest X-ray

(4) Deep learning

(5) Medical imaging

## Abstract

This study explores YOLOv8n-cls for classifying thoracic diseases from chest X-ray images. The lightweight YOLOv8n-cls model, chosen for its speed, efficiency, and accuracy, achieved a top-1 accuracy of 92.49% at epoch 50. Comparisons between YOLOv8n and YOLOv8x showed similar performance. Despite data augmentation, improvements were limited by dataset size and diversity. Other architectures achieved [1] high validation scores but struggled with test data generalization, emphasizing the importance of test performance in clinical applications [2-3]. YOLOv8n-cls, despite initial overfitting, showed promise through early stopping. Metrics analysis highlighted areas for improvement, particularly in reducing false positives and negatives for conditions like fibrosis. The dataset included 7,172 images across five classes [5-6]. While results are promising. This work demonstrates the potential of lightweight models like YOLOv8n-cls for efficient thoracic disease classification.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Wang, Y., Li, X., & Zhang, H. (2023). Lightweight Deep Learning Models for Medical Image Analysis: A Review. Journal of Medical Imaging, 10(3), 45-56.

[2] Zhang, L., Chen, J., & Wang, P. (2022). Challenges and Opportunities in Medical Image Datasets for Deep Learning. IEEE Transactions on Medical Imaging, 41(5), 1123-1135.

[3] Chen, X., Liu, Y., & Sun, W. (2021). EfficientNet for Medical Image Classification: A Comparative Study. Computers in Biology and Medicine, 135, 104606.

[4] Liu, Z., Kumar, S., & Zhang, Y. (2023). Early Stopping Strategies to Mitigate Overfitting in Deep Learning for Medical Diagnostics. Artificial Intelligence in Medicine, 145, 102678.

[5] Kumar, A., Smith, J., & Patel, R. (2022). Reducing False Positives and Negatives in Thoracic Disease Classification Using Deep Learning. Medical Image Analysis, 78, 102345.
A Novel Image Encryption Scheme Combining
Hill Cipher and One-Dimensional Chaotic Map

**Communication Info**

**Authors:**

Mohamed HTITI¹
Abdelaziz AHAITOUF ¹
Ismail AKHARRAZ²

¹ Laboratory of Engineering Sciences (LSI), Polydisciplinary Faculty of Taza, Sidi Mohamed Ben Abdellah University, Fez, Morocco

² Laboratory of Mathematical and Informatics Engineering, Ibnou Zohr University, Agadir, Morocco

**Keywords:**

(1) Hill Cipher

(2) Chaotic Map

(3) Image Encryption

**Abstract**

The integration of Hill cipher [1] and 1D chaotic maps [2] has gained significant attention in image encryption due to their complementary strengths. While the Hill cipher provides a strong cryptographic foundation, chaotic maps introduce unpredictability and sensitivity to initial conditions, enhancing the security of encryption algorithms. Recent studies have explored various combinations of these techniques, such as VHC-CIES, which combines a Hill cipher variant with improved chaotic maps [3], and other schemes incorporating elliptic curve cryptography (ECC) and 3D chaotic maps [4]. In this paper, we propose a novel image encryption scheme that utilizes a special matrix with two adjustable parameters, ensuring invertibility for efficient encryption and decryption. To further enhance security, a chaotic map [5] is integrated to generate a dynamic key, which modifies the special matrix, introducing unpredictability and robustness against potential attacks.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] R. K. Hasoun, S. F. Khlebus, and H. K. Tayyeh, "A new approach of classical Hill Cipher in public key cryptography," International Journal of Nonlinear Analysis and Applications, vol. 12, no. 2, pp. 1071-1082, 2021.

[2] T. Umar, M. Nadeem, and F. Anwer, "Chaos based image encryption scheme to secure sensitive multimedia content in cloud storage," Expert Systems with Applications, vol. 257, p. 125050, 2024.

[3] H. Wen, Y. Lin, L. Yang, and R. Chen, "Cryptanalysis of an image encryption scheme using variant Hill cipher and chaos," Expert Systems with Applications, vol. 250, p. 123748, 2024.

[4] P. N. Lone, D. Singh, V. Stoffová, D. C. Mishra, U. H. Mir, and N. Kumar, "Cryptanalysis and improved image encryption scheme using elliptic curve and affine hill cipher," Mathematics, vol. 10, no. 20, p. 3878, 2022.

[5] Htiti, M., Akharraz, I., & Ahaitou, A. A novel one-dimensional chaotic map with improved sine map dynamics. International Journal of Electrical and Computer Engineering (IJECE), 15(2), 2128-2137, 2025.
Some Stationaries Markov models

**Communication Info**

**Authors:**

Meryem AMEUR¹
Yassine CHAJRI ²
Cherki DAOUI ³
Najlae IDRISSI ⁴

¹,²,³,⁴ FST, Beni Mellal, Morocco

**Keywords:**

(1) Image segmentation

(2) HMC

(3) PMC

(4) Color images

**Abstract**

Here, we compare the model Hidden Markov chain with independent noise with two correlated hidden Markov models such as Correlated Hidden Markov Chain and the recent version of Markov model, Pairwise Markov Chain.

We use these models, to segment some color textured images, our purpose is to demonstrate: The role of the correlation between pixels component the image, in improving segmentation quality.

From the results, we can remark that, our demonstration has been approved.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] P. Lanchatin, Chaines de Markov triplet et segmentation non supervisée de signaux, PhD thesis of national Institute of telecommunications, 2006.

[2] S. Rafi, Chaines de Markov cachées et séparation non supervisée de sources, PhD thesis of national institute of telecommunications and management Sud Paris, 2012.
Co-clustering methods: An experimental review

**Communication Info**

**Authors:**

Meriem GANMATI<fnref n="1" />

Hasna CHAMLAL<fnref n="2" />

Tayeb OUADERHMAN<fnref n="3" />

¹ meriem.ganmati-
etu@etu.univh2c.ma

² hasna.chamlal@univh2c.ma

³ tayeb.ouaderhman@univh2c.ma

Computer Science and Systems
Laboratory (LIS), Department of
Mathematics and Computer
Science, Faculty of Sciences Ain
Chock, Hassan II University of
Casablanca, Morocco.

**Keywords:**

(1) clustering

(2) co-clustering

(3) Coclust

**Abstract**

**Co-clustering** is a powerful technique used in unsupervised learning, which simultaneously groups the rows and columns of a matrix<fnref n="1" />. Its aim is to group data into similar clusters, so that all samples in a cluster are similar to each other and different from samples in other clusters.<fnref n="2" /> To achieve this goal, partitional or diagonal clustering algorithms are used, while Map-Reduce clustering algorithms perform better in the case of high-dimensional data. The role of these algorithms is to define advantageous homogeneous sub-matrix (biclusters).<fnref n="3" /> This paper comprehensively reviews the most significant clustering algorithms : **CoclustInfo** algorithm that adopts an information-theoretic approach and the block-diagonal algorithms namely **CoclustMod** and **CoclustSpecMod**.<fnref n="4" />

Furthermore, those approaches are implemented in **R** and compared in terms of clustering performance by conducting various experimental evaluation schemes. Moreover, the significance of the experimental comparisons is examined using Friedman and Holm's post-hoc statistical tests.<fnref n="5" />

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References:**

<footnote n="1">¹ Aghiles Salah1 · Mohamed Nadif2, "Directional co-clustering", 2018, p(2-3).</footnote>

<footnote n="2">² Cristian A. Gallo,Ana G. Maguitman,Jessica A. Carballido,Ignacio Ponzoni; "Biclustering in Data Mining:using a Memetic Multi-Objective Evolutionary Algorithm" ; 2008</footnote>

<footnote n="3">³ Adán José-García, Julie Jacques, Vincent Sobanski, Clarisse Dhaenens, "Metaheuristic Biclustering Algorithms: From State-of-the-Art to Future Opportunities", 2023</footnote>

<footnote n="4">⁴ François Rôle. Stanislas Morbieu. Mohamed Nadif; "CoClust: A Python Package for Co-Clustering", (2019)</footnote>

<footnote n="5">⁵ Parmeet Singh Bhatia. Serge Iovleff. Gérard Govaert; "blockcluster: An R Package for Model-Based Co-Clustering", (2017)</footnote>
Enhancing Firewall Log Analysis with Deep
Learning: A Novel SIEM Architecture for Threat

**Communication Info**

**Authors:**

Yasmine ABOUDRAR¹

Khalid BOURAGBA 2

Mohamed OUZZIF 3

¹ University Hassan 2,
Casablanca, Morocco

² University Hassan 2,
Casablanca, Morocco

³ University Hassan 2,
Casablanca, Morocco

**Keywords:**

(1) SIEM

(2) DL

(3) AI

**Abstract**

The SIEM (Security Information and Event Management) is designed for the detection and response of cyber threats in real-time. This paper proposes an innovative SIEM architecture using Deep Learning algorithms that could be useful for improving the quality of the firewall log analysis. Our approach includes the pre-processing of a network traffic dataset comprising suspicious attacks, to which Deep Learning techniques can be applied to classify and detect anomalies. The proposed model achieved an accuracy superior than 85%, hence showing effectiveness in identifying potential threats. These findings infer the benefits of Deep Learning integrated into SIEM systems in enhancing automated threat detection and response mechanisms.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

1. López Velásquez, Juan Miguel, et al. "Systematic review of SIEM technology: SIEM-SC birth." International Journal of Information Security 22.3 (2023): 691-711.

2. Armellin, Alessandro, et al. "Integrating OT data in SIEM platforms: an Energy Utility Perspective." 2023 International Conference on Electrical, Communication and Computer Engineering (ICECCE). IEEE, 2023.

3. Ehis, Akhigbe-mudu Thursday. "Optimization of Security Information and Event Management (SIEM) Infrastructures, and Events Correlation/Regression Analysis for Optimal Cyber Security Posture." Archives of Advanced Engineering Science (2023): 1-10.

4. Yushko, Andriy, et al. "Shielding Web Application against Cyber- Attacks using SIEM." 2023 13th International Conference on Advanced Computer Information Technologies (ACIT). IEEE, 2023.

5. Nabil, Moukafih, et al. "SIEM selection criteria for an efficient contextual security." 2017 international symposium on networks, computers and communications (ISNCC). IEEE, 2017.
# Intrusion Detection System using ML and DL approaches: A Systematic literature review

## Communication Info

**Authors:**

Hicham ZMAIMITA¹

Abdellah MADANI ²

Khalid ZINE-DINE ³

¹ Chouaib Doukkali University
El Jadida, Morocco

² Chouaib Doukkali University
El Jadida, Morocco

³ Mohammed V University,
Rabat, Morocco

**Keywords:**

(1) intrusion detection system

(2) Machine learning

(3) Deep learning

(4) IDS

(5) cybersecurity

## Abstract

With the rapid evolution of cyber threats, intrusion detection systems (IDS) have become an important element of cybersecurity. Traditional IDS methods are often based on signature detection, which is not sufficient for newly discovered or obfuscated attacks. In recent years, machine learning (ML) techniques or deep learning (DL) methods have been proposed as complete alternatives offering better accuracy, scalability and automation. This systematic review aims to analysis the most recent machine learning and deep learning methods for intrusion detection or classification more specifically. Systematic reviews were conducted following the various PRISMA guidelines with the inclusion of peer-reviewed publications obtained from the major digital libraries (IEEE Xplore, ACM Digital Library, Google Scholar, SpringerLink and ScienceDirect) from 2015 to 2024. In the end, 85 studies were selected on the basis of these rigorous inclusion and exclusion criteria. Generally, we observed that supervised learning algorithms such as SVMs, Random Forests and kNNs achieved high detection rates on relevant benchmark datasets such as NSL-KDD, CICIDS2017 and UNSW-NB15 [1] [2] [3]. As far as DL models are concerned, the CNN, RNN and Hybrid framework [4] [5] methods seem promising for improving methods for identifying or classifying advanced attacks, in particular zero-day or real-time attacks.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Y. Meidan et al., "Network Intrusion Detection System using Deep Learning," Procedia Computer Science, vol. 187, pp. 186-191, 2021.

[2] R. Kimanzi et al., "Deep Learning Algorithms Used in Intrusion Detection Systems: A Review," arXiv preprint arXiv:2402.17020, 2024.

[3] S. Shone et al., "A hybrid machine and deep learning approach for intrusion detection," Journal of Cloud Computing, vol. 13, no. 1, pp. 1-16, 2024.

[4] M. A. Talukder et al., "A Dependable Hybrid Machine Learning Model for Network Intrusion Detection," arXiv preprint arXiv:2212.04546, 2022.

[5] I. Shivhare et al., "Intrusion Detection: A Deep Learning Approach," arXiv preprint arXiv:2306.07601, 2023.
Optimizing Performance and Security in Invasive
Cardiac IoMT with MQTT, CoAP, and Encryption

**Communication Info**

**Authors:**

Charaf Eddine AIT ZAOUIAT ¹
Mohamed EDDABBAH ²

¹ Polydisciplinary Faculty of
Sidi Bennour Chouaib Doukkali,
University, El Jadida, Morocco

² Higher School of Technology
of Essaouira, Cadi Ayyad
University Marrakesh, Morocco

**Keywords:**

(1) IoMT

(2) MQTT

(3) CoAP

**Abstract**

Security is a major challenge in the Internet of Medical Things IoMT since sensitive patient data needs to be safeguarded along with maintaining the integrity of the communication between various devices [1]. Ensuring confidentiality and authenticity in pacemakers, defibrillators, and other medical devices requires maintaining efficient communication over resource constraint environments [2].

Light weight communication protocols such as MQTT and CoAP find their wide adaptability in the IoMT to enable secure and Efficient data transfer is done using it. This work focuses on a performance analysis of MQTT and CoAP in terms of latency, efficiency, and energy consumption, considering both the effects that security mechanisms such as TLS for MQTT and DTLS for CoAP can produce [3].

The obtained results clearly indicate that CoAP, based on the light-weight UDP design, presents lower latency of about 20-35% and higher efficiency by 15-25% compared to MQTT, with regard to packet size variation

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] S. Madanian, T. Chinbat, M. Subasinghage et al., "Health iot threats: Survey of risks and vulnerabilities," Future Internet, vol. 16, no. 11, p. 389, 2024.

[2] R. Dewan, T. Nagpal, and A. K. Rana, "Iot based efficient and secure building architecture with constrained application protocol (coap)," Journal of Electrical Systems, vol. 20, no. 7s, pp. 1456-1467, 2024.

[3] D. Vashistha, D. Mehta, P. Vashistha et al., "Security and privacy in the internet of medical things (iomt)-based healthcare: Ensuring trust and safety," in Internet of Things Enabled Machine Learning for Biomedical Applications. CRC Press, 2024, pp. 295-319.
A literature review on OWL-based biomedical ontologies for Clinical Information Management

**Communication Info**

**Authors:**

Fatima ZINNANE¹

Mounsif FERNANE 2

Abdellah MADANI 3

¹Computer Science
Department, Faculty of Science,
Chouaib Doukkali University, El
Jadida, Morocco.

²Computer Science
Department, Faculty of Science,
Chouaib Doukkali University, El
Jadida, Morocco.

³Computer Science
Department, Faculty of Science,
Chouaib Doukkali University, El
Jadida, Morocco.

**Keywords:**

(1) Biomedical ontologies

(2) OWL

(3) Healthcare

**Abstract**

The role of ontologies is essential in various fields [1], particularly biomedical information management [2]. This study examines the function of biomedical ontologies based on OWL (Web Ontology Language) [3], which provides a formal, machine-readable representation of medical expertise. This major advance substantially simplifies interoperability between healthcare systems, following the example of the Fundamental Model of Anatomy (FMA) [4], the Disease Ontology (DO) [5] and others, in the management of clinical information. The implementation of ontologies has been proven to facilitate automated reasoning processes while offering important diagnostic resources and promoting data standardization in the context of electronic medical records. The results of the current study provide evidence that the continued implementation of OWL-based ontologies will lead to further substantial improvements in decision support systems and biomedical research, contributing to more efficient healthcare management.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Gruber, T.R. (1993). A translation approach to portable ontology specifications. Knowledge Acquisition, 5(2), 199-220

[2] Freitas, F., Schulz, S., &Moraes, E. [2009]. Survey of current terminologies and ontologies in biology and medicine. RECIIS, 3[1]. doi:10.3395/reciis.v3i1.239en

[3] Web Ontology Language OWL. https://www.w3.org/TR/owl-features/

[4] Dameron, O., Rubin, D.L., &Musen, M.A. (2005). Challenges in converting frame-based ontology into OWL: The Foundational Model of Anatomy case study. AMIA Symposium Proceedings, 181-185.

[5] Schriml, L.M., Munro, J.B., &Schor, M. (2022). The Human Disease Ontology update. Nucleic Acids Research, 50(D1), D1255-D1261.
Automated Machine Learning for Healthcare: A
Meta-Learning Approach to Algorithm Selection

**Communication Info**

**Authors:**

Mohamed Abdelbaki¹

Adnane Latif¹

Charaf Eddine Ait Zaouiat ²

Habiba ELFATOUAKI¹

¹National School of Applied
Sciences, University of Cadi
Ayyad, Marrakesh, Morocco.

²Polydisciplinary faculty of sidi
bennour. Chouaib Doukkali
University, Morocco,

**Keywords:**

(1) Meta-Learning

(2) Healthcare AI

(3) Algorithm Selection

**Abstract**

The rapid growth of healthcare data presents both opportunities and challenges in medical decision-making [1]. Machine learning (ML) techniques have proven effective in extracting meaningful insights from medical datasets [2]. However, selecting the most suitable ML algorithm remains a significant challenge, particularly for healthcare professionals with limited expertise in artificial intelligence (AI) [3]. This paper presents a meta-learning-based system designed to automate algorithm selection based on dataset characteristics and past performance. The system was evaluated across multiple medical applications, including dementia prediction, heart disease classification, ECG signal analysis, and real-time IoT-based health monitoring. Experimental results demonstrate that our approach achieves performance comparable to or exceeding existing studies while reducing the need for manual intervention.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] AJEGBILE, Mojeed Dayo, OLABOYE, Janet Aderonke, MAHA, Chukwudi Cosmos, et al. Integrating business analytics in healthcare: Enhancing patient outcomes through data-driven decision making. *World J Biol Pharm Health Sci*, 2024, vol. 19, p. 243-50.

[2] SARKER, Mithun. Revolutionizing healthcare: the role of machine learning in the health sector. *Journal of Artificial Intelligence General science (JAIGS)* ISSN: 3006-4023, 2024, vol. 2, no 1, p. 36-61.

[3] LI, Yu-Hao, LI, Yu-Lin, WEI, Mu-Yang, et al. Innovation and challenges of artificial intelligence technology in personalized healthcare. *Scientific reports*, 2024, vol. 14, no 1, p. 18994.
Enhancing Malware Detection with Deep Learning: A Study on AI-
Driven Security Solutions

**Communication Info**

**Authors:**

Safa RKHOUYA¹

Khalid CHOUGDALI ²

¹ National School of Applied
Sciences (ENSA) Ibn Tofail
University, Kenitra, Morocco

² National School of Applied
Sciences (ENSA) Ibn Tofail
University, Kenitra, Morocco

**Keywords:**

(1) Malware

(2) Deep learning

(3) Cybersecurity

**Abstract**

As more cyber-attacks are AI-driven, the traditional
malware detection methods have become ineffective to
deal with such increased sophistication of the attacks.
The cybercriminals use AI for developing sophisticated
malware that easily bypasses any traditional security
solution. So, cybersecurity experts need to also use AI to
enhance their detection capability. This paper examines
how deep learning can enhance malware detection by
identifying patterns in executable files. We explore
different neural network models to automatically
recognize malicious behaviors and improve detection
accuracy while reducing false alarms. Our findings
demonstrate the potential of AI-powered security
solutions to strengthen cybersecurity defenses.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Ashwini Mujumdar, Gayatri Masiwal, and Dr B Meshram. "Analysis of signature-based and behavior-based anti-malware approaches". In: International Journal of Advanced Research in Computer Engineering and Technology (IJARCET) 2.6 (2013), pp. 2037-2039.

[2] Matthew G Schultz et al. "Data mining methods for detection of new malicious executables". In: Proceedings 2001 IEEE Symposium on Security and Privacy. S&P 2001. IEEE. 2000, pp. 38-49.

[3] Visual Studio. "Microsoft Portable Executable and Common Object File Format Specification". In: Saatavilla: https://download.microsoft.com/download/9/c/5/9c5b2167-8017-4bae-9fde-d599bac8184a/pecoff_v83.docx. Haettu 5 (2021).

[4] Fabian Pedregosa et al. "Scikit-learn: Machine learning in Python". In: The Journal of machine Learning research 12 (2011), pp. 2825-2830.
A Comparative Study of Deep Learning Algorithms for
Life Classification in Mobile Devices Properties

R. S. Narayanan

Department of Computer Science,
King Saud University,
P.O. Box 8000,
Riyadh 11402,
KSA

Department of Computer Science,
King Saud University of
Riyadh, P.O. Box 8000,
Riyadh 11402,
KSA

**Abstract:**

This present comparative study
presenting based on machine learning techniques. Al-khalil
[1] and Al-Sheikh [2] for comparable
systems. The model was trained on real
applied problems of nanocomposites and based
on identifying them into five distinct categories
[3] our primary attention is to看看, with
best existing peak performance at 99.09%.
Here, training set both models using same such as the
k-Nearest Neighbors Algorithm [4], Support Vector
Classification. Matrix From Squared Error (MSE = 0.005)
and Rayleigh Square Error (RSE = 0.001), giving a
comparable classification of their classification
accuracy. This study unites the previous works in
樓梯、分類、在 nano-composite materials
and their potential applications in nanocomposite systems.

A Comparative Study of Deep Learning Algorithms for
Life Classification in Mobile Devices Properties

Abstract

present comparative study
presenting based on machine learning techniques. Al-khalil
[1] and Al-Sheikh [2] for comparable
systems. The model was trained on real
applied problems of nanocomposites and based
on identifying them into five distinct categories
[3] our primary attention is to看看, with
best existing peak performance at 99.09%.
Here, training set both models using same such as the
k-Nearest Neighbors Algorithm [4], Support Vector
Classification. Matrix From Squared Error (MSE = 0.005)
and Rayleigh Square Error (RSE = 0.001), giving a
comparable classification of their classification
accuracy. This study unites the previous works in
樓梯、分類、在 nano-composite materials
and their potential applications in nanocomposite systems.
The *F*-limit of a collection of ideals

**Communication Info**

**Authors:**

Ayoub OUDIKA¹

Hassan MOUADI²

Driss KARIM³

¹ LMIA, Faculty of Sciences and Technology of Mohammed VI University, Casablanca, Morocco

² LISIMA, Polydisciplinary Faculty of Taroudant, Ibnou Zohr University, Agadir, Morocco

³ LMIA, Faculty of Sciences and Technology of Mohammed VI University, Casablanca, Morocco

**Keywords:**

(1) $F$-limit

**Abstract**

In this work, we propose a generalization of the concept of an *F*-limit of a collection of prime ideals by replacing the ultrafilter *F* with a family *F*<sub>κ</sub> associated with an infinite cardinal κ. This approach leads to the definition of a new topology on the spectrum of commutative rings.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Alian Yger, Analyse complexe, ellipses, Vol 111, 2014.

[2] H. Mouadi & D. Karim, Characterization of prime and maximal ideals of product rings by F-lim, Kyungpook Mathematical Journal 61 (4) (2021) 823-830.

[3] L. Gillman & M. Jerison, Rings of Continuous Functions, 1960.

[4] S. Garcia-Ferreira and L. M. Ruza-Montilla, The F-lim of a Sequence of Prime Ideals. Communications in Algebra 39(2011) 2532-2544.

[5] W. W. Comfort & S. Negrepontis, The Theory of Ultrafilters, Vol 211, 1974.
Digital Design of Moroccan Zellige Geometric Patterns

**Communication Info**

**Authors:**

El Houcini Ettajer¹

Youssef Aboufadil¹

Abdelmalek Thalal²

¹ Laboratory of Physics,
Energies, Environments and
their Applications (LP2EA),
Department of Physics, Cadi
Ayyad University,
Polydisciplinary Faculty of Safi,
Morocco.

² Emeritus Professor,
Laboratory of Materials,
Energy and Environment
(LaMEE), Faculty of Sciences
Semlalia, Cadi Ayyad
University, Marrakech,
Morocco.

**Keywords:**

(1) Zelliges

(2) Moroccan geometric art

(3) Mathematical algorithms

**Abstract**

Moroccan geometric art, particularly zelliges, is among
the most refined forms of Arab-Islamic art,
characterized by unique aesthetics and rigorous
mathematical construction rules [1,2]. Transmitted
selectively, only a few privileged individuals learned
from Mâalams, preserving traditions but limiting
development [3]. Our goal is to create existing and new
zellige patterns to enrich traditional motifs [4]. We are
developing a computer algorithm to design patterns and
determine the best fit for specific surfaces [5]. This
approach enhances the diversity and beauty of zellige
while enabling adaptation to various artistic and
architectural contexts [6].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Aboufadil, Y., Thalal, A., Doğan, N. Ş., Ide, S., & Koç, Y. Comparative Study Between Turkish and Moroccan Ornamental Patterns From the 11th to the 20th Centuries, Culture and Science, 2020, pp. 45-62.

[2] Critchlow, K. Islamic Patterns: An Analytical and Cosmological Approach, Thames & Hudson, 1976, pp. 1-256.

[3] El-Said, I., & Parman, A. Geometric Concepts in Islamic Art, World of Islam Festival Publishing Company, 1976, pp. 1-208.

[4] Kaplan, C. S., & Salesin, D. H. Escherization, ACM SIGGRAPH, 2000, pp. 499-508.

[5] Lu, P. J., & Steinhardt, P. J. Decagonal and quasi-crystalline tilings in medieval Islamic architecture, Science, 315, 2007, pp. 1106-1110.

[6] Noussair, L. Les Zelliges Marocains: Histoire, Techniques et Conservation, Éditions La Croisée des Chemins, 2015, pp. 1-184.
# New Solutions for Evolving VoIP Threats: Enhancing the Security of Asterisk PABX

## Communication Info

**Authors:**

Zineb ELLAKY<fnref n="1" />
Yassir MATRANE <fnref n="2" />
Faouzia BENABBOU <fnref n="3" />,<fnref n="4" />

**Keywords:**

(1) VoIP

(2) Asterisk PABX

(3) security,

(4) OpenVPN

(5) Radius

(6) LDAP

(7) SSO

## Abstract

Voice over IP (VoIP) has emerged as an essential solution for businesses aiming to reduce their communication costs. However, the adoption of VoIP raises significant security concerns, exposing organizations to risks such as call hijacking, fraud, identity theft, eavesdropping, and traffic interception. This article presents an in-depth study of the implementation and securing of a Private Automated Branch Exchange (PABX) based on Asterisk, an open-source IP telephony software. Our approach included Designing a Virtual Testing Environment: We established a testing environment consisting of two interconnected sites to simulate a typical enterprise network. Installing and Configuring Asterisk: We deployed and configured an Asterisk server to manage VoIP calls, emphasizing key technical aspects. We conducted a white-box penetration test to identify potential vulnerabilities. Securing Communications: We implemented robust security measures, including the use of OpenVPN to create encrypted tunnels for securing data exchanges. Centralized Authentication: We integrated a FreeRadius server to ensure centralized client authentication, thereby enhancing system access security. We identified major security challenges and proposed concrete solutions to mitigate them.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Ramly, A, Review and enhancement of VoIP security: Identifying vulnerabilities and proposing integrated solutions. Journal of Telecommunications and the Digital Economy, (2024), 12.

[2] TULEUN, Washima. Design of an asterisk-based VoIP system and the implementation of security solution across the VoIP network. World Journal of Advanced Research and Reviews, 2024, vol. 23, no 1, p. 875-906.

[3] POPESCU, Eliza-Elena. VoIP Security Threats. International Journal of Information Security and Cybercrime (IJISC), 2024, vol. 13, no 1, p. 66-70.

[4] LINA, Benachour, MEROUANE, Mehdi, et ABDELKARIM, Cheniat. Enhancing VoIP Security: Recent Advances in Deep Learning for DoS Detection. In: 2024 2nd International Conference on Electrical Engineering and Automatic Control (ICEEAC). IEEE, 2024. p. 1-6.

<footnote n="1">¹ UH2C, Casablanca, Morocco</footnote>

<footnote n="2">² UH2C, Casablanca, Morocco</footnote>

<footnote n="3">³ UH2C, Casablanca, Morocco</footnote>

<footnote n="4">⁴ UH2C, Casablanca, Morocco</footnote>
<figure><img src="image_100.png" /></figure>

# A Hybrid Machine Learning and Generative AI Model for Predicting Academic Performance from Learning Traces

## Communication Info

**Authors:**

Jamal Eddine RAFIQ ¹
Abdelali ZAKRANI ¹
Said NOUH ¹

¹ Hassan II University,
Casablanca, Morocco

**Keywords:**

(1) *Online Learning*

(2) *Academic Performance Prediction*

(3) *Hybrid Machine Learning*

(4) *Generative AI*

(5) *Model Interpretation*

## Abstract

Analyzing students' learning traces in digital environments provides valuable insights into the factors influencing their academic performance [1][2]. This paper introduces a hybrid model that combines Machine Learning (ML), Deep Learning (DL), and Generative Artificial Intelligence (GenAI) to predict students' Grade Point Average (GPA) using learning traces from six dimensions: demographic, cognitive, social, emotional, contextual, and normative [3][4]. First, Random Forest is employed to select the most influential features. Then, a combined model based on MLP, LSTM, and XGBoost is trained to enhance prediction accuracy. Generative AI (DeepSeek) is integrated to enrich contextual data and provide personalized recommendations to learners. Finally, SHAP is used to interpret the results, offering explanations for the model's decisions. The evaluation of the model on a large dataset demonstrates a significant improvement in performance compared to traditional approaches.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] O. Noroozi, H. J. Pijeira-Díaz, M. Sobocinski, M. Dindar, S. Järvelä, and P. A. Kirschner, Multimodal data indicators for capturing cognitive, motivational, and emotional learning processes: A systematic literature review, vol. 25, no. 6. Education and Information Technologies, 2020.

[2] J. E. Rafiq, A. Zakrani, M. Amraouy, A. Namir, and A. Bennane, "Optimizing Learning Performance through AI-Enhanced Discussion Forums," 2023 14th Int. Conf. Intell. Syst. Theor. Appl., 2023, doi: 10.1109/SITA60746.2023.10373689.

[3] J. E. Rafiq, Z. Abdelali, M. Amraouy, S. Nouh, and A. Bennane, "Predicting academic performance: toward a model based on machine learning and learner's intelligences," Int. J. Electr. Comput. Eng., vol. 15, no. 1, pp. 645-653, 2025, doi: 10.11591/ijece.v15i1.pp645-653.

[4] J. Malini and Y. Kalpana, "Investigation of factors affecting student performance evaluation using education materials data mining technique," Mater. Today Proc., vol. 47, pp. 6105-6110, 2021, doi: 10.1016/j.matpr.2021.05.026.
# A Blockchain-IoT Framework for Transparent Food Supply Chains in Urban Quick-Service Restaurants

## Communication Info

**Authors:**

Zouhair Elhadari¹
Hicham Zougagh¹
Noureddine Idboufker²
Mohamed Ech-chebaby¹

¹Faculty of Sciences and
Techniques Moulay Slimane
University, Beni Mellal,
Morocco.

²National School of Applied
Sciences Cady Ayyad University,
Marrakech, Morocco

**Keywords:**

(1) Blockchain and IoT

(2) Food Supply Chains

(3) Blockchain-IoT Framework

## Abstract

The rapid urbanization phenomenon has ushered in significant challenges for cities worldwide, necessitating the exploration of innovative solutions such as smart cities to efficiently manage burgeoning urban populations. Among the various facets of smart city development, the integration of blockchain technology and Internet of Things (BcIoT) platforms has garnered attention from researchers aiming to address critical issues [1], including transportation, healthcare, and notably, food traceability [2]. Despite notable progress in sectors like transportation and healthcare, the domain of food safety within smart cities has been relatively neglected. However, the increasing recognition of the paramount importance of food safety underscores the urgent need to bolster food transparency and traceability within supply chains [3]. This research introduces a pioneering BcIoT-based layered model tailored to enhance food traceability in quick-service restaurants for smart cities efficiently. Beginning with the identification of optimal traceability units, the proposed system aims to bolster transparency and traceability within the food supply chain [4], [5]. It further proposes the design of a multi-layered model leveraging blockchain technology and aims to contribute to future advancements in food traceability systems within smart cities, ultimately advancing public health and safety measures in urban environments.
# Assessing Integration Orders for SARIMA Modeling: Tunisia Gas Demand Forecasting

**Communication Info**

**Authors:**

Mohamed SLIMAN ¹

Neila BEDIOUI ²

Mongi BESBES ³

¹ Tunisian Company of Electricity and Gas, Tunis, Tunisia

²,³ National Engineering School of Tunis (Laboratory of Robotics, Informatics, and Complex Systems), Tunis, Tunisia

**Keywords:**

(1) Natural gas demand

(2) SARIMA

(3) Integration orders

**Abstract**

Energy demand forecasting has gained importance due to the emerging need to achieve better energy efficiency, lower carbon footprint, cost-effective energy, and a smoother energy transition to renewable [1]. Gas, with its lower carbon footprint and affordability, serves as a transitional fuel.

SARIMA is popular for energy demand forecasting, but the estimation of its integration orders is often overlooked for non-stationary series [2]. This study emphasizes the significance of selecting appropriate integration orders [3] for accurate long-term forecasting, emphasizing the need for specific methodologies

and hyperparameter tuning. In this paper, we present a case study on forecasting low-pressure gas consumption in central Tunisia using SARIMA models. Hourly data from ten gas stations in the region (January 2015 to August 2023) is downsampled and analyzed. The focus is on developing accurate mid to long-term forecasting models, addressing stationarity challenges [4], and determining appropriate integration orders (d, D).

Two methodologies are explored for estimating these orders utilizing statistical tests. The analysis includes a comprehensive comparative study using scale-independent metrics to determine the most effective method. The findings provide insights for gas

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Farhani, S., Shahbaz, M., Arouri, M., Teulon, F., The role of natural gas consumption and trade in Tunisia's output, Energy Policy, Volume 66, 2014, Pages 677-684.

[2] Bilgili, M., Pinar, E., Gross electricity consumption forecasting using LSTM and SARIMA approaches: A case study of Türkiye, Energy, Volume 284, 2023, Page 128575.

[3] Huang, C., Petukhina, A., Applied Time Series Analysis and Forecasting with Python, Springer, 2022.

[4] Bawdekar, A.A., Prusty, B.R., Bingi, K., et al., Sensitivity analysis of stationarity tests' outcome to time series facets and test parameters, Mathematical Problems in Engineering, Volume 2022, 2022.

[5] Makridakis, S., Spiliotis, E., Assimakopoulos, V., M5 accuracy competition: Results, findings, and conclusions, International Journal of Forecasting, Volume 38, 2022, Pages 1346-1364
A Comparative Study of Similarity Metrics for
SVM-Based Recurrent Ticket Prediction

Communication Info

Authors:

Salma LIICHI¹
Abdellah AZMANI¹
Mohamed KOUNAIDI¹
Ikhlass BOUKROUH¹

¹ Intelligent Automation &
BioMedGenomics (IABL).
Faculty of Sciences and
Technology, Tangier, Morocco
Abdelmalek Essaâdi University,
Tetouan, Morocco

Keywords:

(1) Support ticket system

(2) Support Vector Machines

(3) Jaccard similarity

(4) Cosine similarity

(5) SBERT similarity

Abstract

Support ticket system (STS) is one of the most critical
customer relationship management (CRM) solutions
through which companies are capable of managing
customer requests properly [1] [2].

This paper presents a comparison of the performance of three methods to predict ticket recurrence with Support Vector Machines (SVM), which is a suitable algorithm for binary classification. The first method uses Jaccard similarity; the second uses Cosine similarity and the third uses SBERT and Cosine similarity by a hybrid approach [3] [4] [5].

The comparison of the three techniques regarding the
performance of prediction based on accuracy indicates
that the Jaccard-based approach is 0.7419 accurate,
whereas applying Cosine Similarity provides much
better performance at 0.8710. The hybrid procedure of
SBERT and Cosine Similarity yields the best possible
accuracy at 0.9355 and identifies that the hybrid
procedure significantly boosts the predictive potential
of the model in predicting ticket recurrence.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] A. Taha et al., « AI Web-Based Smart Ticketing System », *Adv. Sci. Technol. J.*, vol. 2, n° 1, p. 1-22, janv. 2025, doi: 10.21608/astj.2025.345106.1027.

[2] M. Truss et S. Boehm, « AI-based Classification of Customer Support Tickets: State of the Art and Implementation with AutoML », 3 juin 2024, arXiv: arXiv:2406.01789. doi: 10.48550/arXiv.2406.01789.

[3] I. Boukrouh et A. Azmani, « Explainable machine learning models applied to predicting customer churn for e-commerce », *IAES Int. J. Artif. Intell. IJ-AI*, vol. 14, n° 1, p. 286, févr. 2025, doi: 10.11591/ijai.v14.i1.pp286-297.

[4] Y. L. Sukestiyarno, H. A. Sapolo, et H. Sofyan, « Application of Recommendation System on E-Learning Platform Using Content-Based Filtering with Jaccard Similarity and Cosine Similarity Algorithms », 23 juin 2023, *Computer Science and Mathematics*. doi: 10.20944/preprints202306.1672.v1.

[5] Z. Liu, J. Zhu, X. Cheng, et Q. Lu, « Optimized Algorithm Design for Text similarity Detection Based on Artificial Intelligence and Natural Language Processing », *Procedia Comput. Sci.*, vol. 228, p. 195-202, 2023, doi: 10.1016/j.procs.2023.11.023.
# Modélisation informatique des pavages Quasi-périodiques : L'art des zelliges marocains

## Communication Info

**Authors:**

Youssef ABOUFADIL¹

El Houcini ETTAJER¹

Abdelmalek THALAL²

¹ LP2EA, Faculté
Polydisciplinaire de Safi,
Université Cadi Ayyad,
Marrakech, Maroc

² Faculté des Sciences Semlalia,
Université Cadi Ayyad,
Marrakech, Maroc

**Keywords:**

(1) Symétrie

(2) pavages Quasi-périodiques

(3) zellige marocain

(4) modélisation informatique

## Abstract

Les motifs quasi-périodiques d'un cristal se reproduisent au niveau atomique, formant des motifs réguliers qui ne se répètent jamais. La similitude entre les panneaux de zellige marocain dans les monuments historiques et les motifs de diffraction des quasi-cristaux souligne que les maîtres artisans marocains ont créé, depuis le XIVe siècle, des motifs décoratifs présents dans des schémas quasi-périodiques.

Pour visualiser un quasi-cristal en deux dimensions, on peut suivre l'approche de Penrose (1974) qui a développé un pavage non périodique du plan en utilisant deux types de tuiles, ou utiliser la méthode de grille multiple de De Bruijn (1981) généralisée par Duneau et Katz (Duneau & Katz, 1985; Katz & Duneau, 1986).

Dans ce projet, nous allons modéliser le processus de création des pavages de zellige quasi-périodiques en combinant la méthode de grille multiple avec la méthode artisanale appelée Hasba. Ensuite, nous présenterons des exemples de motifs de zellige quasi-périodiques présents dans les monuments historiques marocains, tout en introduisant de nouveaux pavages pour enrichir la diversité des motifs de zelliges quasi-périodiques.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Aboufadil, Y., Thalal, A. & Raghni, M. A. E. I., J. Appl. Cryst.,47, 2014, 630-641

[2] De Bruijn, N. G., Proc. K. Ned. Akad. Wet. Ser. Amath. Sci., 43, 1981, 39-66.

[3] Duneau, M. & Katz, A., Phys. Rev. Lett., 54, 1985, 2688-2691.

[4] Penrose, R., Bull. Inst. Math. Appl., 10, 1974, 266-271.

[5] Thalal, A., Benatia, M. J., Jali, A., Aboufadil, Y. & Elidrissi Raghni, M. A, Symmetry Culture Sci., 22, Year, 103-130.
Enhancing Dialectal Sentiment Analysis: Contextual Transcoding and
Sentence Optimization Using Genetic Algorithms

**Communication Info**

**Authors:**

Hasnae SAKHI¹
Sanaa EL FILALI ²

¹ LTIM, FSBM, Hassan II
University, Casablanca,
Morocco.

² LTIM, FSBM, Hassan II
University, Casablanca,
Morocco.

**Keywords:**

(1) genetic algorithms

(2) Sentiment Analysis

(3) Moroccan Dialect

(4) Arabic Transcoding

**Abstract**

This study focuses on enhancing sentiment analysis for the
Moroccan dialect (Darija) by leveraging its transcoding into
Modern Standard Arabic (MSA) to utilize existing NLP tools. Darija
presents significant challenges for natural language processing due
to its lack of computational resources and notable linguistic
differences from MSA. To address these issues, we developed a
supplementary dictionary for Darija-specific words not found in
standard Arabic resources, facilitating their conversion to MSA.
However, the initial approach faced limitations in accurately
preserving the contextual meaning of words, particularly for those
with multiple interpretations. To overcome this, we integrated
multilingual embeddings into the transcoding process, ensuring
accurate contextualization of words during their conversion.
Additionally, genetic algorithms were employed to optimize
sentence structure by identifying and eliminating redundant or
insignificant words, preserving meaning while reducing noise in
the transcoded text. This combined approach was evaluated using
classical machine learning models, showcasing its potential to
improve sentiment analysis for Darija. Beyond Darija, this research
offers a scalable and efficient solution for other Arabic dialects,
emphasizing the importance of context-aware transcoding and
sentence optimization in natural language processing applications.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Garouani, Moncef and Kharroubi, Jamal. (2022). MAC: An Open and Free Moroc- can Arabic Corpus for Sentiment Analysis. M.M. Mathematician, Introduction to Math- ematics, Springer, Berlin, 2000. (Wang et al., 2018)

[2] A. A. Freihat, M. Abbas, G. Bella, and F. Giunchiglia, Towards an Optimal Solution to Lemmatization in Arabic, Procedia Comput. Sci., vol. 142, pp. 132140, 2018, doi: 10.1016/j.procs.2018.10.468.

[3] J. Atwan, M. Wedyan, Q. Bsoul, A. Hammadeen, and R. Alturki, The Use of Stemming in the Arabic Text and Its Impact on the Accuracy of Classifica- tion, Sci. Program., vol. 2021, 2021, doi: 10.1155/2021/1367210.

[4] M. O. Alhawarat, H. Abdeljaber, and A. Hilal, "Effect of Stemming on Text Sim- ilarity for Arabic Language at Sentence Level," PeerJ Comput. Sci., vol. 7, pp. 1–18, 2021, doi: 10.7717/PEERJ-CS.530.

[5] A. B. Junior, N. F. F. da Silva, T. C. Rosa, and C. G. C. Junior, "Sentiment analysis with genetic programming," Inf. Sci. (Ny)., vol. 562, pp. 116–135, 2021, doi: 10.1016/j.ins.2021.01.025.
# Navigating the Future of Cryptography:
Opportunities and Challenges in the Age of AI
and Quantum Computing

## Communication Info

**Authors:**

Najat RAFI¹
Khadija Bouzkoura ¹
Abdelhakim CHILLALI ²

¹ Hassan II University,
Casablanca, Morocco

² Sidi Mohamed Ben Abdallah
University, Taza, Morocco

**Keywords:**

(1) Cryptography

(2) Artificial Intelligence

(3) Quantum computing

(4) privacy-preserving
technologies

(5) Post-quantum
cryptography

## Abstract

As the digital landscape continues to grow, the field of cryptography stands at a critical juncture, facing unprecedented challenges and opportunities. This paper explores the future of cryptography by examining emerging trends and generating insightful predictions concerning its future trajectory in the next decade. We analyze the impact of quantum computing on traditional cryptographic algorithms, the integration of artificial intelligence in cryptographic practices, the importance of privacy-preserving technologies, and the implications of regulatory frameworks. By synthesizing insights from current research and industry developments, we provide a comprehensive overview of the future landscape of cryptography, offering valuable perspectives for researchers, practitioners, and policymakers alike.
# A Novel Optimization Model for Transfer Learning in Convolutional Neural Networks

**Communication Info**

**Authors:**

Otmane MALLOUK¹
Nour-Eddine JOUDAR¹
Mohamed ETTAOUIL¹

¹Modelling and Mathematical Structures Laboratory, Department of Mathematics, Faculty of Science and Technology of Fez, Sidi Mohamed Ben Abdellah University, Fez, Morocco.

**Keywords:**

(1) Transfer learning

(2) Deep learning

(3) Convolutional neural networks

(4) Proximal algorithms

**Abstract**

Transfer learning [1-2] has achieved remarkable success across various applications. However, conventional deep transfer learning techniques, such as parameter sharing [3] and fine-tuning [4], often lack a structured strategy for parameter transmission. In this communication, we present STP-CNN, an optimization-based framework for parameter-based transfer learning in convolutional neural networks [5]. Our approach leverages a Lasso-based transfer model with a regularization term to control transferability, ensuring selective adaptation of network parameters. We solve this model using the proximal gradient descent method, allowing precise identification of transferable parameters at each convolutional layer for direct reuse or fine-tuning in the target network. Experimental results demonstrate the effectiveness of STP-CNN in optimizing transferability and improving classification performance.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Pan, Sinno Jialin, and Qiang Yang. "A survey on transfer learning." IEEE Transactions on knowledge and data engineering 22.10 (2009): 1345-1359.

[2] Mallouk, Otmane, Nour-Eddine Joudar, and Mohamed Ettaouil. "A selective model for transfer learning in CNNs: optimization of fine-tuning layers." International Journal of Data Science and Analytics (2024): 1-16.

[3] Poyatos, Javier, et al. "EvoPruneDeepTL: An evolutionary pruning model for transfer learning based deep neural networks." Neural Networks 158 (2023): 59-82.

[4] Li, Xuhong, et al. "Transfer learning in computer vision tasks: Remember where you come from." Image and Vision Computing 93 (2020): 103853.

[5] Mallouk, Otmane, Nour-Eddine Joudar, and Mohamed Ettaouil. "STP-CNN: Selection of transfer parameters in convolutional neural networks." Expert Systems 42.2 (2025): e13728.
<figure><img src="image_101.png" /></figure>

Performance evolution between
ECGenELGAMAL and EdGenELGAMAL

**Communication Info**

**Authors:**

Madicke DIOP<fnref n="1" />

Demba SOW <fnref n="2" />

**Keywords:**

(1) GenELGAMAL

(2) Elliptic Curves

(3) Edwards Curves

**Abstract**

Elliptic curves [1] and Edwards curves [2] are
mathematical tools widely used in the construction of
modern cryptographic protocols [3]. Introduced by
Harold M. Edwards in 2007, Edwards curves are
distinguished by their optimized arithmetic operations,
such as scalar multiplication, which uses simpler and
more efficient addition formulas compared to elliptic
curves. In this paper, we first implement the
GenElGamal [4] scheme on classical elliptic curves
(ECGenElGamal) and on Edwards curves
(EdGenElGamal). Subsequently, we conduct a
comparative study of the performance of these two
implementations. This design exploits the properties
Edwards curves for faster and more efficient
cryptographic systems, while ensuring security based
on the hardness of ECDLP [5].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] N. Koblitz, Elliptic curve cryptosystems, Mathematics of Computation, 48, 1987, pp. 243–264.

[2] H. M. Edwards, A normal form for elliptic curves, Bulletin of the American Mathematical Society, 44, 2007, pp. 393–422.

[3] W. Diffie and M. Hellman, New directions in cryptography, IEEE Transactions on Information Theory, 22, 1976, pp. 644–654.

[4] D. Sow and D. Sow, A new variant of El Gamal's encryption and signature schemes, JP Journal of Algebra, Number Theory and Applications, 20, 2011, pp. 21–39.

[5] S. Galbraith, P. Gaudry, Recent progress on the elliptic curve discrete logarithm problem, Designs, Codes and Cryptography, 78, 2016, pp. 51–72.

<footnote n="1">¹ UCAD, Dakar, Senegal</footnote>

<footnote n="2">² UCAD, Dakar, Senegal</footnote>
Prediction of agricultural yields in Morocco
using a hybrid algorithm: Segmentation and
analysis of irrigation satellite images combined
with machine learning and deep learning
approaches

**Communication Info**

**Authors:**

Imade ABOURABIA<fnref n="1" />

Soumaya OUNACER<fnref n="1" />

Mohammed Yassine

ELGHOUMARI<fnref n="1" />

Mohamed AZZOUAZI<fnref n="1" />

**Keywords:**

(1) Agriculture in Morocco

(2) Machine Learning (ML)

(3) Deep Learning (DL)

(4) *Irrigation Optimization*

(5) Satellite Imagery

(6) (GAN)

(7) Random Forest
 Regressor

(8) (CNN)

(9) Sustainable Practices

(10) Crop Yield

(11) Prediction

(12) Productivity

**Abstract**

Agriculture is crucial to Morocco's economy, providing food security, livelihoods, and a significant share of GDP. However, the sector faces challenges such as climate change, water scarcity, and the need for sustainable practices [1], [2]. This study integrates machine learning (ML) and deep learning (DL) to improve agricultural productivity and optimize irrigation in regions like Doukkala, Settat, Souss, and Zemamra [3]. Using high-resolution satellite images and Generative Adversarial Networks (GAN), a dataset of 48,000 images was prepared to classify four irrigation types: surface, drip, sprinkler, and subsurface irrigation [4]. Random Forest Regressor achieved the highest accuracy in predicting agricultural yields (r²: 0.91, MAE: 0.28, MSE: 0.16), outperforming other ML models. For irrigation classification, Convolutional Neural Networks (CNN) achieved 97% validation accuracy and high F1 scores for all irrigation types [5].

This study demonstrates the effectiveness of integrating ML, DL, and satellite imaging to address Morocco's agricultural challenges. It establishes a scalable framework for enhancing productivity, resource efficiency, and sustainability in the agricultural sector [6].

<footnote n="1">¹faculty of sciences ben
m'sik/University Hassan II,
Casablanca, Morocco</footnote>
<figure><img src="image_102.png" /></figure>

# Impact de Chatgpt : Utilisation de L'intelligence Artificielle Et de L'algorithme Génétique Pour Prédire La Performance des étudiants

## Communication Info

**Auteurs:**

Lamyae MIARA<fnref n="1" />

Asmae BLILAT<fnref n="2" />

Mohammed BENOMAR EL

MDEGHRI <fnref n="3" />

**Keywords:**

(1) ChatGPT

(2) Prédiction

(3) Algorithme génétique

(4) Réseaux de neurones

## Résumé

Cette étude analyse l'impact de l'utilisation de ChatGPT[1] sur la performance académique[2] des étudiants, en se basant sur un questionnaire distribué à 500 étudiants issus de deux écoles marocaines: l'ENSI de Tanger et l'ENSA de Tétouan. Le questionnaire aborde divers aspects liés à l'utilisation de ChatGPT, tels que la fréquence d'utilisation, les domaines d'application, la note en informatique, leur niveau d'expertise dans l'utilisation de cet outil, etc. L'objectif principal de cette étude est de prédire l'impact de ChatGPT sur la note finale des étudiants au cours du semestre.

L'étude examine plusieurs hypothèses, notamment :

1. L'utilisation de ChatGPT a un impact significatif sur les notes finales des étudiants.

2. Les méthodes d'utilisation de ChatGPT influencent leur performance académique.

3. Les facteurs contextuels, tels que la fréquence d'utilisation de ChatGPT et les domaines d'application, jouent un rôle clé dans la réussite académique.

Les données collectées ont été analysées pour déterminer s'il existe une corrélation entre les réponses aux questionnaires et les notes des étudiants. Les résultats ont montré que la régression linéaire[3] ne peut pas être utilisée pour effectuer la prédiction. Ainsi, nous avons appliqué l'algorithme génétique[4] pour optimiser la sélection des caractéristiques les plus pertinentes. Ces caractéristiques ont ensuite été utilisées comme entrées pour un modèle de réseau de neurons[5], conçu pour prédire les notes des étudiants avec une précision maximale.

Cette recherche contribue à la littérature scientifique en fournissant une méthodologie innovante pour l'analyse des données éducatives, tout en offrant des insights pratiques sur l'intégration des outils d'IA générative dans les systèmes éducatifs. Les implications de cette étude sont multiples : elle propose des recommandations pour les éducateurs et les décideurs politiques sur la manière d'optimiser l'utilisation de ChatGPT dans l'apprentissage, tout en soulignant les limites et les défis potentiels liés à son adoption à grande échelle.

<footnote n="1">¹ ENSI, Tanger, Maroc</footnote>

<footnote n="2">² ENCG, Fès, Maroc</footnote>

<footnote n="3">³ EMI, Rabat, Maroc</footnote>
# A Game-Theoretic Variational Model for Image Denoising and Decomposition involving

## Communication Info

**Authors:**

Requia ADDOUCH¹
Noureddine MOUSSAID ¹
Omar GOUASNOUANE ¹
Anouar BEN-LOGHFYRY ¹
¹ FST, Mohammedia, Morocco

**Keywords:**

(1) Nonlocal-operator

(2) Noise removal

(3) Nash game

## Abstract

In this work, we propose a game-theoretic variational model for image denoising [3, 4] and decomposition, using fractional [2] and non-local operators [1] to separate structure and texture. The problem is formulated as a two-player game within a Nash equilibrium framework [5], where one player reconstructs the denoised image while the other extracts texture. We establish theoretical guarantees on existence and uniqueness and validate the model through numerical experiments, demonstrating its effectiveness in noise reduction and precise image-texture separation.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Gilboa, Guy and Osher, Stanley, Nonlocal operators with applications to image processing, Multiscale Modeling & Simulation, 7, 2009, 1005--1028.

[2] Zhang, Jianping and Chen, Ke, A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution, SIAM Journal on Imaging Sciences, 8, 2015, 2487--2518.

[3] Kindermann, Stefan and Osher, Stanley and Jones, Peter W, Deblurring and denoising of images by nonlocal functionals, Multiscale Modeling & Simulation, 4, 2005, 1091--1115.

[4] Ben-Loghfry, Anouar, A fractional-time PDE-constrained parameter identification for inverse image noise removal problem, Journal of the Franklin Institute, 2024, 107443.

[5] Chen, Yan and Liu, KJ Ray, A game theoretical approach for image denoising, 2010 IEEE International Conference on Image Processing, 2010, 1125--1128.
Enhancing Industrial Maintenance with Machine
Learning and Vibration Analysis

**Communication Info**

**Authors:**

Ibtissam EL HARNAF<fnref n="1" />
Khadija ACHTAICH <fnref n="2" />
Samir TETOUANI <fnref n="3" />
Salma SAMMAH <fnref n="4" />

**Keywords:**

(1) Predictive maintenance1

(2) Machine learning2

(3) Vibration analysis3

**Abstract**

This research focuses on the incorporation of artificial
intelligence in industrial maintenance. It emphasizes
predictive maintenance by utilizing vibration data.
LSTM-GRU [1] models were employed for extracting
features, along with XGBoost [2] for predicting failures,
utilizing historical and real-time signals gathered from
sensors. This method allows for the prompt
identification of machinery malfunctions, improved
planning for interventions, and decreased costs,
aligning with the concepts of Industry 4.0 [3]. Industrial
case studies confirm the methodology, showcasing
marked enhancements in equipment reliability [4] and
operational efficiency. The findings highlight the ability
of AI-powered [5] solutions to transform maintenance
methods, promoting sustainability and minimizing
downtime.

<footnote n="1">¹Faculty of Sciences Ben M'Sick,
Technologies of Information
and Modelisation Laboratory,
The Higher School of Textile
and Clothing Industrie,
advanced numerical
engineering laboratory,
Casablanca, Morocco</footnote>

<footnote n="2">²Faculty of Sciences Ben M'Sick,
Technologies of Information
and Modelisation Laboratory,
Casablanca, Morocco</footnote>

<footnote n="3">³The Higher School of Textile
and Clothing Industrie,
Advanced Numerical
Engineering Laboratory,
Casablanca, Morocco</footnote>

<footnote n="4">⁴Faculty of Sciences Ben M'Sick,
Technologies of Information
and Modelisation Laboratory,
Casablanca, Morocco</footnote>
Une démarche mathématique pour supporter
l'agrandissement optique dans les fontes
dynamiques

Communication Info

Authors:

Abdelouahad BAYAR¹

¹PSSII Lab – Université Cadi Ayyad – École Supérieure de Technologie de Safi, Safi, Maroc

Keywords:

(1) Fontes Dynamiques

(2) Caractères Dynamiques

(3) Agrandissement Optique

(4) Ensembles de Séquences
de Points

(5) Agrandissement Non-
linéaire

(6) Obliquité

(7) Convexité

(8) Correspondance de
Vecteurs

Résumé

Dans cet article, le problème du développement de fontes de caractères dynamiques en respectant le concept de l'agrandissement optique est concerné. La conception de fontes prenant en charge des caractères dont la taille et/ou la forme varient en fonction du contexte, se heurte encore à de grandes difficultés. Ceci est dû au manque de moyens formels, supportant l'agrandissement non-linéaire des objets mathématiques, utiles pour la spécification des symboles dans la fonte tout en maintenant la similarité et la satisfaction visuelles. Des travaux de recherches ont été réalisés pour trouver des solutions au problème [1][2][3]. Autre que les langages de fontes adoptés dans ces approches [1][2][3], le support du dynamisme est basée sur l'adoption d'une façon empirique de déplacement de points de contrôle menant à un résultat satisfaisant. Notre travail, par contre, porte sur Le développement d'une méthode permettant d'apporter des agrandissements non-linéaires à un ensemble de séquences de points tout en conservant les propriétés de convexité, d'obliquité, et de correspondance de vecteurs. Les caractères dynamiques développés à base de ce modèle, comme les symboles mathématiques extensibles et les lettres Arabes supportant le concept de Kashida, peuvent subir des extensions en conservant les propriétés de convexité, obliquité, et d'épaisseur; bases crucales pour supporter l'agrandissement optique.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

Références

[1] Jacques, André et Irène, Vatton, "Dynamic Optical Scaling and Variable-Sized Characters", *Electron. Publ.* 7, 4 (1994), pp. 231-250.

[2] Lazrek, Azzeddine, "CurExt, Typesetting variable-sized curved symbols", in *TUGboat*, 24, 3 (2003), pp. 323-327.

[3] Anane, Amine, "Arabic text justification using the DigitalKhatt OpenType variable font", TUGboat 42, 3 (2021), pp. 247-257.
Quality of Experience (QoE) Prediction in
Morocco's Telecom Sector for Urban and Rural
Areas

**Communication Info**

**Authors:**

Mohamed BABACHEKH¹
Youssef Bourass ¹
Amina BENGAG ¹
Fadwa BOUHAFER ¹
Anass El Haddadi
Abdelkhalak BAHRI ¹

¹ Data Science and Competitive
Intelligence team (DSCI),
National School of Applied
Sciences of Al-Hoceima,
Abdelmalek Essaadi University

**Abstract**

A crucial indicator for assessing telecom services is Quality of Experience (QoE), which goes beyond Quality of Service (QoS) to take customer pleasure into account. With an emphasis on Maroc Telecom, Orange Maroc, and Inwi, this research investigates AI-driven models for forecasting and enhancing QoE in Morocco's telecom industry. Telecom operators may proactively handle service faults and improve performance by combining real-time network data, customer input, and predictive analytics.

This research presents a systematic approach to computing QoS metrics, such as latency, jitter, and packet loss, which are foundational to QoE assessment. By utilizing a combination of AI-driven models and multiple key indicators, telecom companies can achieve more accurate forecasting for QoE prediction. The integration of statistical, machine learning, and deep learning models enables a more precise assessment of service degradation, allowing operators to take proactive corrective actions. The experimental results obtained demonstrate that combining different forecasting approaches leads to improved network efficiency and enhanced customer satisfaction by ensuring more reliable service performance. Future studies will explore the role of edge computing and 5G in further optimizing QoE management.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700
Machine Learning for Diabetes Prediction: a
Gradient Boosting Approach with the Pima

**Communication Info**

**Authors:**

José L. Pereira<fnref n="1" />

Luzia Mendes<fnref n="1" />

Davide Carvalho<fnref n="2" />

**Keywords:**

(1) Diabetes Prediction

(2) Gradient Boosting Machine
(GBM)

(3) Pima Indians Diabetes
Dataset

**Abstract**

Diabetes mellitus remains a growing global health concern, affecting over 530 million adults [1]. Type 2 diabetes, which comprises approximately 98% of diagnoses worldwide, is characterized by complex metabolic interactions that pose challenges for early detection [2]. Traditional statistical methods often fall short when modeling high-dimensional data with non-linearities and missing values. In this study, we employed a Gradient Boosting Machine (GBM) approach on the Pima Indians Diabetes Dataset to address these hurdles. By integrating predictive mean matching (PMM) for multiple imputation [3] and ROSE-based class balancing [4], we constructed a robust predictive model capable of handling data heterogeneity. The GBM model achieved an overall accuracy of 96.50%, with sensitivity of 96.97% and specificity of 96.04%, notably outperforming many conventional techniques. These results showcase the potential of ensemble-based machine learning [5] in refining diabetes prediction, thus offering a valuable tool for patient screening.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Magliano DJ, Boyko EJ, Atlas ID, et al. Global picture. In: IDF Diabetes Atlas. 10th ed. International Diabetes Federation; 2021.

[2] Ong KL, Stafford LK, McLaughlin SA, et al. Global, regional, and national burden of diabetes from 1990 to 2021. Lancet. 2023.

[3] Buuren S v, Groothuis-Oudshoorn K. MICE: Multivariate imputation by chained equations in R. J Stat Softw. 2011;45(3):1-67.

[4] Lunardon N, Menardi G, Torelli N. ROSE: A package for binary imbalanced learning. R J. 2014;6(1):82-92.

[5] Friedman JH. Greedy function approximation: A gradient boosting machine. Ann Stat. 2001;29(5):1189-1232.

<footnote n="1">¹ Faculty of Dental Medicine,
University of Porto, Portugal</footnote>

<footnote n="2">² Faculty of Medicine,
University of Porto, Portugal</footnote>
# Optimising credit risk management with AI: Case study on the application of SVM and ANN to assess the creditworthiness of bank customers

## Communication Info

**Authors:**

Dr. Karim AMZILE¹

¹ BIGOFE laboratory FSJES-Ain Chock, Casablanca, Morocco

**Keywords:**

(1) Credit risk

(2) Artificial Intelligence

(3) Bank

(4) SVM

(5) ANN

## Abstract

Managing credit risk has always been a major challenge for banking institutions, requiring careful thought and a rigorous strategy. The aim is to predict, with optimum accuracy, which customers present a high risk of non-solvency or of being unable to repay their loans in full.

Most financial institutions attach considerable importance to this issue, both in terms of financial resources and knowledge, backed up by in-depth scientific research.

This is the context of the present work, in which two artificial intelligence methods, SVM [4] and ANN, were used to predict the creditworthiness of a bank's business customers. To do this, the article used historical data on a bank's business customers.

However, a process of data mining techniques was adopted to build these SVM and ANN models, and after evaluating the models obtained, the results obtained in this study show that the intelligence techniques provide relevant results in terms of the accuracy of the predictions made.

In addition, the accuracy of the SVM<sub>rbf</sub> = 98,33% exceeds that of the ANN which is 93%.