Proceedings of the 7th International Conference on
Research in Applied Mathematics and Computer
Science (ICRAMCS 2025)

Youssef El Foutayeni

► To cite this version:

Youssef El Foutayeni. Proceedings of the 7th International Conference on Research in Applied Mathematics and Computer Science (ICRAMCS 2025). The 7th International Conference on Research in Applied Mathematics and Computer Science (ICRAMCS 2025), Apr 2025, MARRAKECH, Morocco. International Conference on Research in Applied Mathematics and Computer Science, 2025 (7), pp.1-448, 2025, ICRAMCS 2025. http://hal-05265792

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Proceedings of Abstracts

Proceedings ISSN : 2605-7700

THE 7TH EDITION OF THE INTERNATIONAL
CONFERENCE ON RESEARCH IN APPLIED
MATHEMATICS AND COMPUTER SCIENCE

ICRAMCS 2025

April 24-25-26, 2025

ENSA Marrakech, Cadi Ayyad University, Morocco

This volume contains only the abstracts of the communications presented at the conference. Full papers, if any, will be published separately in peer-reviewed journals or proceedings.
Conference
Proceedings
of Abstracts
Report

ICRAMCS 2025 Proceedings ISSN: 2605-7700

<figure><img src="image_1.png" /></figure>
FOREWORD & ACKNOWLEDGEMENTS

It is with immense pleasure and great pride that we welcome all participants,
esteemed colleagues, and distinguished guests to the **7th Edition of the
*International Conference on Research in Applied Mathematics and
Computer Science (ICRAMCS 2025)**. Organized by Cadi Ayyad University
and held at the National School of Applied Sciences (ENSA) of Marrakech,
this edition marks another milestone in our continuous effort to foster
international scientific collaboration and promote cutting-edge research at
the crossroads of applied mathematics and computer science.

This year, ICRAMCS 2025 has brought together scholars and researchers
from **28 different nationalities**, reflecting the global reach and reputation
the conference has acquired over the years. We are deeply honored by the
presence of all participants who have joined us from around the world to
share their expertise, ideas, and passion for scientific advancement.

We extend our heartfelt gratitude to our **keynote speakers** whose insights
and academic excellence have greatly enriched the scientific program:

- Prof. Ayman ALZAATREH, American University of Sharjah, UAE

- Prof. Mahamat Saleh DAOUSSA HAGGAR, University of Ndjamena, Chad

- Prof. Sandra FERREIRA, University of Beira Interior, Covilhã, Portugal

- Prof. Cemil TUNÇ, Van Yuzuncu Yil University, Van, Turkey

Their contributions reflect the diversity and high caliber of thought
leadership present at this edition of the conference.

Our sincere thanks go to the **organizing committee**, whose tireless work,
dedication, and logistical coordination made this event possible. Their
passion and commitment ensured the success of every detail, from the
academic program to the welcoming environment.
We are also profoundly grateful to the **scientific committee** for their rigorous evaluation of submissions, ensuring that only the most promising abstracts were selected. This has contributed significantly to maintaining the academic rigor and credibility of ICRAMCS.

We appreciate the support of our **institutional partners and sponsors**, whose commitment to scientific excellence and international cooperation has been invaluable in the realization of this event.

Last but not least, we thank **all participants**, whether attending in person or online, for their enthusiasm, intellectual curiosity, and active engagement. Your contributions foster meaningful exchanges, spark new collaborations, and reinforce the global scientific community we are proud to be part of.

We look forward to future editions and hope that ICRAMCS 2025 serves as a memorable and inspiring experience for all. May this conference pave the way for new discoveries, long-lasting partnerships, and impactful innovations in applied mathematics and computer science.

Sincerely,

On behalf of the **Organizing Committee** of ICRAMCS 2025
Prof. Youssef EL FOUTAYENI
Cadi Ayyad University, Marrakech-Morocco
## SCIENTIFIC SESSIONS

* Applied Mathematics to Economics and Finance

* Biomathematics

* Dynamical systems and Differential Equations

* Fixed Point Theory and Applications

* Functional Analysis & Linear Algebra

* Operations Research & Optimization

* Optimal Control Theory and Applications

* Probability & Statistics and Stochastic Analysis

* Mathematics-Other

* Artificial Intelligence and Machine Learning

* Big Data and Data Mining

* Data Science and its Applications

* Deep Learning and Artificial Intelligence

* Internet of Things and Smart Cities

* Information Security, Cloud and Networks

* Software Engineering and Information Systems

* Computer Science-Other

## ORGANIZING COMMITTEE MEMBERS

Naceur ACHTAICH, Hassan II University of Casablanca, Morocco

El mustapha AIT BENHASSI, Cadi Ayyad University, Morocco

Abdelhadi AIT DADS, Cadi Ayyad University, Morocco

Mahmoud BAROUN, Cadi Ayyad University, Morocco

Said BOULITE, Cadi Ayyad University, Morocco

Youssef EL FOUTAYENI, Cadi Ayyad University, Morocco

Khalil EZZINBI, Cadi Ayyad University, Morocco

Mohammed HALLOUMI, Cadi Ayyad University, Morocco

My Ihassan HBID, Cadi Ayyad University, Morocco

Mohamed KHALADI, Cadi Ayyad University, Morocco

Lahcen MANIAR, Cadi Ayyad University, Morocco

Olivier MONGA, IRD, France
INTERNATIONAL PROGRAM COMMITTEE

Mohamed AIT BABRAM, Cadi Ayyad University, Morocco

Mohamed AMOUCH, Chouaib Doukkali University, Morocco

Chaouki AOUITI, University of Carthage, Tunis

Pierre AUGER, IRD Paris, France

M.A. AZIZ-ALAOUI, University of Le Havre Normandy, France

Aicha BOUNAIM, Schlumberger, Norvege, Norvege

Hamid BOUNIT, Ibn Zohr University, Morocco

Jamal BOUYAGHROUMNI, Hassan II University of Casablanca, Morocco

Zaki CHBANI, Cadi Ayyad University, Morocco

Mohamed EL ALAOUI TALIBI, Cadi Ayyad University, Morocco

Hassan EL AMRI, Hassan II University of Casablanca, Morocco

Abdelhaq EL JAI, University of Perpignan, France

Samira EL YACOUBI, University of Perpignan, France

Said HADD, Ibn Zohr University, Morocco

El Haj LAAMRI, University of Lorraine, France

Laila MOUSSAID, Hassan II University of Casablanca, Morocco

Youssef OUKNINE, Cadi Ayyad University, Morocco

Mostafa RACHIK, Hassan II University of Casablanca, Morocco

Abdelaziz RHANDI, Cadi Ayyad University, Morocco

Hassan RIAHI, Cadi Ayyad University, Morocco

Mohamed Aziz TAOUDI, Cadi Ayyad University, Morocco

Cemil TUNC, Van Yuzuncu Yil University, Turkey

Noura YOUSFI, Hassan II University of Casablanca, Morocco

Mehdi ZAHID, Cadi Ayyad University, Morocco
<figure><img src="image_2.png" /><figcaption>Prof. Ayman ALZAATREH
American University of Sharjah, UAE</figcaption></figure>

FEATURE RANKING WITH RELATIVE BELIEF: A
BAYESIAN FILTER METHOD FOR MIXED-TYPE
FEATURES IN CLASSIFICATION PROBLEMS

American University of Sharjah, Sharjah, UAE
aalzaatreh@aus.edu

Abstract

Feature selection is a crucial step in data mining and machine learning applications, particularly when dealing with high-dimensional datasets. It helps mitigate the curse of dimensionality, improve model performance, and reduce computational complexity. Among the available approaches, filter methods stand out for their efficiency, as they evaluate the relevance of features independently of the learning algorithm. In this talk, we present a Bayesian filter-based feature selection method based on the Relative Belief Ratio. This approach is employed to rank and select quantitative features based on the strength of evidence they provide in relation to the target variable, without requiring access to the learning model. The method is applied to both binary and multi-class classification problems. Additionally, the approach is extended to handle qualitative features, enabling a broader application of the proposed filter method in real-world datasets where non-numeric attributes are common. Several benchmark datasets are used to validate the effectiveness of the proposed method, showcasing its robustness and scalability in diverse classification settings.
<figure><img src="image_3.png" /><figcaption>Prof. Mahamat Saleh DAOUSSA HAGGAR</figcaption></figure>

University of Ndjamena, Chad

A MATHEMATICAL MODEL FOR INVESTIGATING THE THERAPEUTIC RESPONSE OF REPAGLINIDE AND METFORMIN IN TYPE 2 DIABETES PATIENTS

University of NDjamena, NDjamena, Chad
msdhaggar@gmail.com

Abstract

In recent decades, several mathematical models of the glucose-insulin system have been developed to study the complications of diabetes and to diagnose and treat the disease by predicting outcomes. However, in this work, we focus on the interaction between two drugs used in the treatment of type 2 diabetes when lifestyle measures alone are insufficient to control blood glucose levels: metformin and repaglinide. Initially, we combine these two treatments using a new approach of a mathematical model of the glucose-insulin system that integrates the effects of these drugs. The model parameters are then estimated using an inverse optimization problem and available data. The response of metformin and repaglinide in type 2 diabetes patients is investigated through numerical simulations. The results show an increase in glucagon and insulin concentrations, as well as a decrease in glucose concentrations in the heart, tissues, and liver. These findings support the mechanism by which repaglinide lowers blood glucose levels by stimulating insulin release from the pancreas, while metformin helps reduce blood sugar by improving the body's response to insulin.
<figure><img src="image_4.png" /><figcaption>Prof. Sandra FERREIRA
University of Beira Interior, Covilhã, Portugal</figcaption></figure>

EXTENDING THE WEIBULL DISTRIBUTION FOR NON-MONOTONE FAILURE RATES

University of Beira Interior, Covilhã, Portugal
sandraf@ubi.pt

**Abstract**

The widespread use of the Weibull distribution in reliability and survival analysis has led statisticians to seek improved models that can handle data exhibiting non-monotone failure rates. As the typical Weibull distribution is somewhat limited, as it can only model hazard functions that are monotonically increasing or decreasing, in this talk we present an extension to obtain failure rates with bathtub-shaped and unimodal showing that this extension offers flexibility compared to the traditional Weibull distribution and it is especially useful when we are working with real-world data that might not fit the simple assumptions of the Weibull distribution. This presentation is substantiated by model comparisons and graphical illustrations that complement the theoretical foundation. The interest of the recommended distribution is confirmed through a real data set.
<figure><img src="image_5.png" /><figcaption>Prof. Cemil TUNÇ
Van Yuzuncu Yil University, Van, Turkey</figcaption></figure>

# UNIQUE SOLUTIONS FOR INTEGRAL EQUATIONS, INTEGRAL DIFFERENTIAL AND CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH DELAY: PROGRESSIVE CONTRACTIONS

Van Yuzuncu Yil University, Van, Turkey
cemtunc@yahoo.com

## Abstract

In this study, first we handle nonlinear integral and integro-differential equations with delay. We investigate global existence and uniqueness of solutions of the considered equations by fixed point method using progressive contractions of T.A. Burton. We prove some new results including sufficient conditions with regard to global existence and uniqueness of solutions of the considered equations. We provide an example for illustrations.

Second, we handle a nonlinear Caputo fractional differential equation (CpFrDE) including multiple variable delays. We study uniqueness of the solutions of the CpFrDE under consideration. Here, we apply the method of progressive contractions on CpFrDEs including multiple variable delays. The vital point of the method of progressive contractions is that it is a very flexible idea to discuss the uniqueness of solutions for various mathematical models. We also provide an example to demonstrate how the outcome can be applied.

The present study has new contributions to the qualitative theory of integral and integro-differential equations and fractional differential equations.
TABLE OF CONTENTS

FOREWORD & ACKNOWLEDGEMENTS i

SCIENTIFIC SESSIONS iii

ORGANIZING COMMITTEE MEMBERS iii

INTERNATIONAL PROGRAM COMMITTEE iv

SPEAKERS v

ABSTRACTS [MATHEMATICS]

EL MOUADINE HAMZA, L'image des opérateurs élémentaires 1

EL FADIL EL IDRISSI ANWAR, YAACOUBI ABDELHAK, Mathematical Analysis of the Effects of Food Influencers on Consumers Food Choices 2

BABA NOSSAIBA, AGMOUR IMANE, EL FOUTAYENI YOUSSEF, ACHTAICH NACEUR, Real Case Study of Moroccan Tri-trophic Model with Alternative Food 3

LAHBOUB MOHAMED, ABCHIR CHAKIB, Existence de solutions d'équations présentant des non-linéarités asymétriques 4

ESSOFI MOHAMED, BOUALLALA MUSTAPHA, OUAFIK YOUSSEF, Analysis and Numerical Approximation of a Frictional Contact Problem arising in Thermo viscoelasticity 5

DIALLO MOHAMADOU MOR DIOGOU, COLY CHERIF MAMINA, Generalizing families of algebraic points of quotients of Fermat curves C_(r,r) (p) 6

BOUMNIDEL SANAA, A study of some operators defined on Banach spaces 7

FERREIRA DARIO, FERREIRA SANDRA, Advanced Modeling of Temporal Dynamics Using Time-Adaptive Linear Mixed Models 8

ABDELALIM SEEDIK, THE STRONGLY COHOPFIAN ABELIAN GROUPS IN THE CATEGORY OF ALGEBRAICALLY COMPACT ABELIAN GROUPS 9

AHMAD ABDULAZIZ GARBA, BELLO HARIS JAAFAR, UCHE DAVID UGOCHUKWU, Simulation of a liquid chromatographic reactor using an isothermal nonlinear equilibrium model for gradient elution considering Bi-Langmuir adsorption 10

BAROUDI MOHAMED, IMANE SMOUNI, HICHAM GOURRAM, ABDERRAHIM LABZAI, MOHAMED BELAM, Optimizing Control Strategies for Monkeypox through Mathematical Modeling 11

ACHIK YAMNA, BABA NOSSAIBA, EL FOUTAYENI YOUSSEF, ACHTAICH NACEUR, Boosting LCP Solver Performance with Accelerated Updates 12

TANJAOUI MOHAMMED, KARMOUNI MOHAMMED, Polynômes orthogonaux pour un produit scalaire de Sobolev 13

SALL MOUSSA, FALL LANDING, SOW DJIBY, ON HOLLOW-LIFTING SEMIMODULES 14

FALL MOUSSA, Algebraic points of degree d on some quotients of Fermat curve of degree 11 15

CHAHER MOHAMED, LAMNII ABDELLAH, NOUR MOHAMED-YASSIR, A cubic B-spline quasi-interpolation approach for singularly perturbed time-dependent parabolic convection-diffusion problems 16

OUSSARHAN ABDESSAMAD, On the graph convergence of subdifferentials of paraconvex functions 17

EL KHALFI YOUSSEF, SETTATI ADEL, LAHROUZ AADIL, MOURAD EL IDRISSI, Stochastic Gilpin-Ayala Model in Polluted Environment with Markovian switching 18
<table>
  <tr>
    <td>AIT EL HARCH ILHAM, OUTAAOUI KHALID, ELFOUTAYENI YOUSSEF, Mathematical Modeling for Fisheries Management: The Sustainable Harvesting of Three Major Marine Species in Morocco</td>
    <td>19</td>
  </tr>
  <tr>
    <td>OULTOU ABDERRAHMANE, BENAISSA HICHAM, A coupled system of fractional history-dependent hemivariational inequalities arising in contact mechanics</td>
    <td>20</td>
  </tr>
  <tr>
    <td>FEKIH ASMA, HAJJI MOHAMED KARIM, Optimizing Flow Time and Carbon Emissions in Flexible Job-Shop Scheduling with Mixed-Integer and Constraint Programming</td>
    <td>21</td>
  </tr>
  <tr>
    <td>EL HAITAMI ADIL, Stochastic analysis of epidemic model with relapse incorporating Ornstein-Uhlenbeck process</td>
    <td>22</td>
  </tr>
  <tr>
    <td>EL MAJOUTI ZAHRA, Modified moving least squares meshless method for solving multidimensional mixed integral equations</td>
    <td>23</td>
  </tr>
  <tr>
    <td>LMANGAD RACHID, FAIZ ZAKARIA, BENAISSA HICHAM, Three-Dimensional Asymptotic Analysis of a Bingham type fluids with Tresca law and Thermal Effects</td>
    <td>24</td>
  </tr>
  <tr>
    <td>TERGUI IKRAME, KISSI BENAISSA, KHATIB HAMZA, AAYA HASSAN, Études numériques du comportement vibratoire de sols sous écoulement turbulent: Application à l'érosion interne de digues</td>
    <td>25</td>
  </tr>
  <tr>
    <td>MEHSIN ATTEYA, The Cracovian product with the right multiplication over the matrices</td>
    <td>26</td>
  </tr>
  <tr>
    <td>RETB ABDERRAHMAN, Unconditionally Converging Operators</td>
    <td>27</td>
  </tr>
  <tr>
    <td>RAHMANI NOUR-EDDINE, SERRAJ TAOUFIK, Reducing Secret Key Size in HAWK via Algebraic Techniques</td>
    <td>28</td>
  </tr>
  <tr>
    <td>AGHDAOUI HASSAN, Deep learning and optimal control techniques for fractional derivative models in epidemiology</td>
    <td>29</td>
  </tr>
  <tr>
    <td>BELLFKIH EL MEHDI, Identification of Involutory MDS Matrices Through Evolutionary Algorithms</td>
    <td>30</td>
  </tr>
  <tr>
    <td>BOUKHIRA AYOUB, BENAISSA HICHAM, Existence results for the 2d-elastic isotropic frictional contact problem</td>
    <td>31</td>
  </tr>
  <tr>
    <td>ASSILA KHAIREDDIN, LOUARTITI KHALID, Zero-Divisors in Commutative Rings: A Graph-Theoretic Perspective</td>
    <td>32</td>
  </tr>
  <tr>
    <td>ASSALI EL ABED, Anti-synchronization of quaternion-valued neural networks with inertial term and proportional delay via a direct technique</td>
    <td>33</td>
  </tr>
  <tr>
    <td>EL BAKKIOUI KHALID, SETTATI ADEL, Étude de l'effet des perturbations par sauts sur la dynamique stochastique des modèles SIRS</td>
    <td>34</td>
  </tr>
  <tr>
    <td>ALMUSAWA MUSAWA, ALMUSAWA HASSAN, Fractional analysis of nonlinear dynamics in Korteweg-de VriesBurgers' and modified Korteweg-de Vries Equations</td>
    <td>35</td>
  </tr>
  <tr>
    <td>AHMADINI ABDULLAH, Design of a EWMA Control Chart by adaptation of Smoothing Constant based on a Function of estimated shift</td>
    <td>36</td>
  </tr>
  <tr>
    <td>RAMADANE ABDERRAZAK, HASSOUNA SAAD, TIMESLI ABDELAZIZ, AZOUANI ABDERAHIM, A new domain decomposition strategy based on the hybrid FE-MESHLESS method</td>
    <td>37</td>
  </tr>
  <tr>
    <td>BELMAHI HAJAR, Geometric Analysis of Black Hole Shadows in Einstein-Maxwell-Dilaton Theory</td>
    <td>38</td>
  </tr>
  <tr>
    <td>OIDIRNE FATIMA, SELF-SIMILAR SOLUTIONS FOR ACTIVE SCALAR EQUATIONS IN FOURIER-BESOV-MORREY SPACES</td>
    <td>39</td>
  </tr>
  <tr>
    <td>ABDELBAR ELMANSOURI, Contrôle optimal dans un modèle mathématique de tricherie aux examens de certification</td>
    <td>40</td>
  </tr>
  <tr>
    <td>FIHI HIBA, MAMOUNI ABDELLAH, OUARGHI KHALID, On derivations and symmetric elements in prime rings with involution</td>
    <td>41</td>
  </tr>
  <tr>
    <td>MENCHIH MANAL, HILAL KHALID, KAJOUNI AHMED, On gamma-Semigroup Dynamics for Specific Conformable Partial Differential Equations</td>
    <td>42</td>
  </tr>
  <tr>
    <td>MOUSSAFIR OUMAIMA, EZZINBI KHALIL, AFOUKAL ABDALLAH, Asynchronous exponential growth for semi-line differential equations with nondense domain: Application to population dynamics</td>
    <td>43</td>
  </tr>
</table>
<table>
  <tr>
    <td>JAOUANE MOHAMED REDA, EL KARKRI JAAFAR, A generalized fuzzy-TOPSIS-based framework for (SRI) portfolios selection</td>
    <td>44</td>
  </tr>
  <tr>
    <td>ELBARBOUCHI AHMED, BOUMAZGOUR MOHAMED, CHRAIBI KAADOUD MOHAMED, New estimates of the q-numerical radius of Hilbert space operators</td>
    <td>45</td>
  </tr>
  <tr>
    <td>KOUACH YASSINE, EL ATTAR ABDERRAHIM, An optimal coherent security system for a non-life insurance company using particle swarm optimization (PSO) algorithm</td>
    <td>46</td>
  </tr>
  <tr>
    <td>GOURTY ABDELMAJID, IGHACHANE MOHAMED AMINE, KITTANEH FUAD, New improvements of some classical inequalities</td>
    <td>47</td>
  </tr>
  <tr>
    <td>KHALOUQI DOUNIA, IDRISSI FATMI NADIA, Modeling HPV with Cervical Cancer and HIV with AIDS Diseases Co infection</td>
    <td>48</td>
  </tr>
  <tr>
    <td>OUSKNID IDRISS, BOUARICH ABDSLAM, An isoperimetric problem with a potential perturbation of regular kernel</td>
    <td>49</td>
  </tr>
  <tr>
    <td>LOURINI ABDELLAH, EL AZZOUZI MOHAMED, LAABISSI MOHAMED, Boundary controllability for Caputo fractional differential equation</td>
    <td>50</td>
  </tr>
  <tr>
    <td>MAKHLOUKI NADIA, STOCHASTIC VASICEK MODEL PROCESS TO MODEL AND FORECAST WATER PRODUCTIVITY IN MOROCCO</td>
    <td>51</td>
  </tr>
  <tr>
    <td>EL MEZEGUELDY REDOUANE, OUZAHRA MOHAMED, Optimality conditions for a class of bilinear control problems</td>
    <td>52</td>
  </tr>
  <tr>
    <td>EL BILALI MOHAMMED, MOHAMMED MOUÇOUF, On m-EP operators</td>
    <td>53</td>
  </tr>
  <tr>
    <td>RACHID GUIRHIR, A relationship between Favard space and admissibility for a analytic resolvent family of an integral volterra system</td>
    <td>54</td>
  </tr>
  <tr>
    <td>ABDELLAOUI MOHAMMED, HICHAM REDWANE, Asymptotic behavior of solutions for parabolic problems of fractional type and sign-changing measure data</td>
    <td>55</td>
  </tr>
  <tr>
    <td>TASSI NADA, AZRAR LAHCEN, FAKRI NADIA, Micromechanical Modeling of high temperature dependent thermo-elastic</td>
    <td>56</td>
  </tr>
  <tr>
    <td>AIT BRAHIM ABDESSAMAD, the new fractional calculus and its applications</td>
    <td>57</td>
  </tr>
  <tr>
    <td>OUKASSOU HAJAR, Regional Optimal Control Problem of Riemann Liouville Time Fractional Bilinear Systems with Bounded Control Operator in a Finite Time Horizon</td>
    <td>58</td>
  </tr>
  <tr>
    <td>BELHADJ MAHA, Solving Fractional Integral Equations via Proinov's Fixed Point Theorem</td>
    <td>59</td>
  </tr>
  <tr>
    <td>KHOULDI YASSINE, IDRISSI FATMI NADIA, ABDELALIM AYOUB, Continuous propagation of panic in flight: Modelling, analysis and optimal time control</td>
    <td>60</td>
  </tr>
  <tr>
    <td>TATOUTI SAMIRA, The generalized of 2-frame in 2-Hilbert space</td>
    <td>61</td>
  </tr>
  <tr>
    <td>SAIDI ASMA, MAZGOURI ZAKARYA, On quantitative stability for parametric equilibria with tri-functions</td>
    <td>62</td>
  </tr>
  <tr>
    <td>KADYRI ABBES, FARHANE MEHDI, KANDOUSSI KHALID, SOUHAR OTMANE, Identifying Major Influences on Photovoltaic Panel Efficiency via PCA</td>
    <td>63</td>
  </tr>
  <tr>
    <td>BEN SLIMANE KAMEL, TMAR ZIED, BESBES MONGI, An Enhanced Cuckoo Search Algorithm with Lévy Flight for Efficient High-Order System</td>
    <td>64</td>
  </tr>
  <tr>
    <td>AAIBID MAHJOUB, EL KARKRI JAAFAR, Physics-Informed Neural Networks (PINNs): Progress, Challenges and Future Directions</td>
    <td>65</td>
  </tr>
  <tr>
    <td>HASSOUNE ELMEHDI, Entropy solution for some nonlinear elliptic p()-Laplacian problem with Right-Hand Side Measure</td>
    <td>66</td>
  </tr>
  <tr>
    <td>EL AZRI ABDENBI, NAFIDI AHMED, MERBOUHA ABDELKRIM, Statistical inference for a powers stochastic Rayleigh diffusion process, simulation and prediction</td>
    <td>67</td>
  </tr>
  <tr>
    <td>TALHA ABDESLAM, Existence Results for Nonlinear Parabolic Problems with Lower Order Terms in Musielak-Orlicz Spaces</td>
    <td>68</td>
  </tr>
  <tr>
    <td>MOHAMMED BOUASABAH, Stochastic Processes as Classification Algorithms in Stock Market Prediction</td>
    <td>69</td>
  </tr>
  <tr>
    <td>TMAR ZIED, BEN SLIMANE KAMEL, BESBES MONGI, Reinforcement Learning-Based Pole Placement for Complex Dynamic Systems: A Feasibility-Oriented Approach Reduction</td>
    <td>70</td>
  </tr>
</table>
<table>
  <tr>
    <td>ELAMRAOUI OMAR, ESSOUFI EL HASSAN, ZAFRAR ABDERRAHIM, Applications of Variational Inequality and Reaction-diffusion Equations in Epidemiology</td>
    <td>71</td>
  </tr>
  <tr>
    <td>EL BAROUDI MOHCINE, Stochastic Optimal Control in Epidemic Dynamics: Applications To Public Health</td>
    <td>72</td>
  </tr>
  <tr>
    <td>RAFIK MOHAMED, Stochastic Modeling of Disease Spread: SIS Model</td>
    <td>73</td>
  </tr>
  <tr>
    <td>ADETUTU OLAYIWOLA MATTHEW, Comparison of Bayesian and Frequentist Approaches in Nominal Item Response Theory Modelling</td>
    <td>74</td>
  </tr>
  <tr>
    <td>TARIK LAHCEN, An Extension of Young's Inequality in the Framework of s-Convex Functions</td>
    <td>75</td>
  </tr>
  <tr>
    <td>BOURZIK DOUNIA, AKHARIF ABDELHADI, LMAKRI AZIZ, MELLOUK AMAL, Gaussian and Rank-based Optimal Tests for Non Linear Regression Model</td>
    <td>76</td>
  </tr>
  <tr>
    <td>GOURRAM HICHAM, BAROUDI MOHAMED, ISSAM SAHIB, IMANE SMOUNI, ABDERRAHIM LABZAI, MOHAMED BELAM, ANALYSIS OF THE STABILITY OF A MATHEMATICAL MODEL FOR MEASLES</td>
    <td>77</td>
  </tr>
  <tr>
    <td>ERRACHIDI MOHAMMED, EL MAROUFY HAMID, EL OMARI MOHAMED, Moments method for diffusion processes with random effects with real application</td>
    <td>78</td>
  </tr>
  <tr>
    <td>JABER TAWFIK, Optimal control problem for a bilinear vibrating plate equation with bounded distributed controls</td>
    <td>79</td>
  </tr>
  <tr>
    <td>MOHAMED NEBGHOUHA, DIEYE MOUSTAPHA, SÉNE ABDOULAYE, Exponential decay for mild solutions of second order integro-differential equations with delay</td>
    <td>80</td>
  </tr>
  <tr>
    <td>KARIMINE ABDELATIF, TAKI REGRAGUI, BAHRAOUI ZUHAIR, Analysis of the Dynamical Behavior of a Stochastic SEIS Epidemic Model with Nonlinear Innate Immunity</td>
    <td>81</td>
  </tr>
  <tr>
    <td>HAMID BEN.HSSAIN, AZIZ ELBOUR, ABDELHAK EL HADDOUCHI, Generalized Common fixed point in fuzzy metric spaces and application to an integral equation</td>
    <td>82</td>
  </tr>
  <tr>
    <td>EL FADOUAKI MOHAMED, LMOU HAMID, HILAL KHALID, KAJOUNI AHMED, Existence result for a system of ψ-Caputo-type hybrid fractional differential inclusions</td>
    <td>83</td>
  </tr>
  <tr>
    <td>FAIZ AMINE, EDRAOUI MOHAMED, ADIL BAIZ, BOUZKOURA KHADIJA, JAMAL MOULINE, Best proximity point theorems for tricyclic diametrically contractive mappings</td>
    <td>84</td>
  </tr>
  <tr>
    <td>ASERRAR YOUSSEF, An extension of Van Velck's functional equation on semigroups</td>
    <td>85</td>
  </tr>
  <tr>
    <td>HARIR ATIMAD, Fuzzy complex conformable differentiation</td>
    <td>86</td>
  </tr>
  <tr>
    <td>EL ISSAOUY YASSINE, Stability of Fourth-Order Partial Differential Equations</td>
    <td>87</td>
  </tr>
  <tr>
    <td>MAKKI NACIRI ABDERRAHIM, Counting primitive kth Roots of Unity Modulo n</td>
    <td>88</td>
  </tr>
  <tr>
    <td>KHAN SALMA, IZID MALIKA, EL HAIMI ABDERRAZZAK, AHARMIM BOUCHRA, OUAZZANI CHAHDI AMINA, Translation surfaces generated by two relatively normal-slant helices in Euclidean 3-space</td>
    <td>89</td>
  </tr>
  <tr>
    <td>SADKI MARYA, ALLALI KARAM, Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise</td>
    <td>90</td>
  </tr>
  <tr>
    <td>OSMAN TUNÇ, Improved qualitative results for retarded integro-differential equations</td>
    <td>91</td>
  </tr>
  <tr>
    <td>AARABATE OUMAIMA, BALATIF OMAR, Dynamic Conduct of a Stochastic Unemployment Model</td>
    <td>92</td>
  </tr>
  <tr>
    <td>KHARFATI KHAOULA, ROUBI AHMED, BLOCK COORDINATE DESCENT METHODS OF CENTER</td>
    <td>93</td>
  </tr>
  <tr>
    <td>BENAMARA IBTISSAM, A Mathematical model for the interaction between Covid-19 and Tuberculosis dynamics</td>
    <td>94</td>
  </tr>
  <tr>
    <td>EL HASSANI MUSTAPHA, EL HARFI ABDELHADI, EL MOURCHID SAMIR, Trajectory tracking problem for 2-D Heat Equation</td>
    <td>95</td>
  </tr>
  <tr>
    <td>ASOGWA OLUCHUKWU, OTEKUNRIN OLUWASEUN, EZE NNAEMEKA, On the robustness of Augmented Box-Behnken Designs to two missing Observations</td>
    <td>96</td>
  </tr>
  <tr>
    <td>FAKHRAOUI MERYEM, BAKHADACH IDRIS, MELLIANI SAID, Pythagorean Fuzzy Sublattices and Ideals</td>
    <td>97</td>
  </tr>
  <tr>
    <td>BOUZID EL HOUSSINE, BEN AMMA BOUCHRA, MELLIANI SAID, CHADLI LALLA SAADIA, Qualitative results for intuitionistic fuzzy Cauchy Problem</td>
    <td>98</td>
  </tr>
</table>
<table>
  <tr>
    <td>FAIZ MARIEM, Stability Analysis of a Mathematical Model for Malaria Transmission</td>
    <td>99</td>
  </tr>
  <tr>
    <td>EL MOURABIT CHAIMAE, IDRISSI FATMI NADIA, Stability and sensitivity analysis of HIV Co-Infections with HCV, HBV, and TB</td>
    <td>100</td>
  </tr>
  <tr>
    <td>ZOUHRI SAMIRA, Multi cell discrete-time SIRI epidemic model with travel restrictions and vaccination controls</td>
    <td>101</td>
  </tr>
  <tr>
    <td>RAJI ABDERRAHMANE, Commutativity of prime rings and Banach algebras with generalized (β, α)-derivations</td>
    <td>102</td>
  </tr>
  <tr>
    <td>HAMMOUTI OMAR, Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications</td>
    <td>103</td>
  </tr>
  <tr>
    <td>RHOLAM OUALID, LAARICHI YASSINE, BARMAKI MOHAMMED, Integral inequalities for log (m; h1; h2) convex stochastic</td>
    <td>104</td>
  </tr>
  <tr>
    <td>CHAMLAL HASNA, TAYEB OUADERHMAN, MESKAOUI MOUHSIN, Comparative Study of Information-Theoretic Multi-Label Feature Selection</td>
    <td>105</td>
  </tr>
  <tr>
    <td>AIT LHOUSSAIN HAMID, Numerical Analysis of Air Pollution Dispersion from Steady Single Point Emission Source</td>
    <td>106</td>
  </tr>
  <tr>
    <td>ERRAKI MOHAMED, Feedback stabilization of non-homogeneous semilinear neutral systems with distributed delay</td>
    <td>107</td>
  </tr>
  <tr>
    <td>MOUJANI HASNA, KASSIDI ADERRAZAK, EL MFADEL ALI, ELOMARI M'HAMED, On The Existence of Weak Solutions for Double-phase-Laplacian-Like Systems</td>
    <td>108</td>
  </tr>
  <tr>
    <td>LFOUNOUNE ABDELLATIF, K-frames in super Hilbert c*modules</td>
    <td>109</td>
  </tr>
  <tr>
    <td>EL BAZ AYAD, Les fondements mathématiques de l'Analyse en composantes principales normées et applications</td>
    <td>110</td>
  </tr>
  <tr>
    <td>ALI KHELIL KARIMA, Existence of solutions of fractional equation with fractional integral boundary conditions</td>
    <td>111</td>
  </tr>
  <tr>
    <td>GÖZEN MELEK, Enhanced Qualitative Results for Nonlinear Integro-Differential Equations of Higher Order</td>
    <td>112</td>
  </tr>
  <tr>
    <td>HIMMI HANANE, OUMOUN MOHAMED, A constructive method for feedback stabilization of a collection of stochastic nonlinear systems</td>
    <td>113</td>
  </tr>
  <tr>
    <td>BELLACHE ZINEB, EL BOUANANI HICHAM, Study on the Behavior of Net Asset Values of Diversified Mutual Funds</td>
    <td>114</td>
  </tr>
  <tr>
    <td>BRAHIM EL OMARI, HAJJI YOUSSEF, HJIAJ HASSANE, JAMIAI ISMAIL, Entropy Solutions for Some Elliptic Unilateral Problems with Degenerate coercivity</td>
    <td>115</td>
  </tr>
  <tr>
    <td>BENCHEIKH KHADIJA, Mathematical Model for Heroin Consumption Spread with Stability Analysis and Control Strategies</td>
    <td>116</td>
  </tr>
  <tr>
    <td>ELKHALLOUFY KHADIJA, MENCHIH MANAL, HILAL KHALID, KAJOUNI AHMED, Semigroup Dynamics of a Conformable Spatial PDE Chaos and Hypercyclicity</td>
    <td>117</td>
  </tr>
  <tr>
    <td>DIALLO HAMIDOU A, SALLET GAUTHIER, EZZINBI KHALIL, OUTADA NISRINE, Properties of 'Kermack KcKendrick' like models</td>
    <td>118</td>
  </tr>
  <tr>
    <td>AKRID THAMI, ELAZZOUZI ABDELHAI, OUHINOU AZIZ, Asymptotic almost periodicity of bounded solutions for some partial functional differential equations with delay</td>
    <td>119</td>
  </tr>
  <tr>
    <td>ANNOUAOUI TAIB, CHAKIB ABDELKRIM, KHALIL IBRAHIM, Numerical shape optimization process based on a new shape derivative formula constrained by a semi-linear PDE</td>
    <td>120</td>
  </tr>
  <tr>
    <td>ALOUAT MOHAMED, EL BOUJAQUI HICHAM, RAGHAY SAID, Universal Approximation for Partial Differential Equations: Bridging Theory and Practice with Physics-Informed Neural Networks</td>
    <td>121</td>
  </tr>
  <tr>
    <td>BOURHIM FATIMA-EZZAHRA, EL MFADEL ALI, ELOMARI M'HAMED, Couples System of Nonlinear Impulsive Hybrid Differential Equations with Linear and Nonlinear Perturbations Involving psi-Caputo Fractional Derivative</td>
    <td>122</td>
  </tr>
  <tr>
    <td>MALOUH MAHACINE, M'HAMED ELOMARI, BOUAOUID MOHAMED, Study of Mild Solutions for Fractional Differential Inclusions under Nonlocal Conditions Involving the psi-Caputo Derivative</td>
    <td>123</td>
  </tr>
</table>
<table>
  <tbody>
    <tr>
      <td>LOUAKAR AYOUB, VIVEK DEVARAJ, KAJOUNI AHMED, HILAL KHALID, Controability analysis of Hilfer fractional stochastic pantograph differential equation with fractional Brownian motion and Poisson noise</td>
      <td>124</td>
    </tr>
    <tr>
      <td>SOUAD MAARIR, EL HADFI YOUSSEF, Optimal Embeddings and Interpolation: Connecting Sobolev Spaces and Their Norms</td>
      <td>125</td>
    </tr>
    <tr>
      <td>JAHID OUMAYMA, ABOUELHANOUNE YOUNES, AHMED BOUJRAF, Numerical Simulation of Biphasic immiscible flow in porous media</td>
      <td>126</td>
    </tr>
    <tr>
      <td>SETTAR ABDELJALIL, CHEGDAL SARA, BENRHMACH GHASSANE, Log-volatility Models for Modelling Financial Return Series in the Presence of Zeros: a Comparative Study</td>
      <td>127</td>
    </tr>
    <tr>
      <td>FARHANE MEHDI, KADYRI ABBES, KADDAR ABDLILAH, SOUHAR OTMANE, Mathematical Advances in 3D Numerical Analysis for Air Pollution Dispersion Models</td>
      <td>128</td>
    </tr>
    <tr>
      <td>OUTAIK MOHAMED, BAHRAOUI ZUHAIR, Mathematical Analysis of a Stochastic Epidemic Model: Existence, Uniqueness, Persistence, and Control</td>
      <td>129</td>
    </tr>
    <tr>
      <td>KAOURI SABAH, ABOUNOUH MOSTAFA, AL MOATASSIME HASSAN, New absorbing boundary conditions for the Schrödinger equation</td>
      <td>130</td>
    </tr>
    <tr>
      <td>KHAIDER BRAHIM, LAGHRIB AMINE, HADRI AISSAM, AFRAITES LEKBIR, On the study of non-smooth nonconvex optimization problem for image restoration by learnable descent algorithm and Plug-and-Play method</td>
      <td>131</td>
    </tr>
    <tr>
      <td>AMRANI ZERRIFI SALOUA, DOGHMI AHMED, A generalization of the Nash equilibrium solution</td>
      <td>132</td>
    </tr>
    <tr>
      <td>CHAHRAZED MESSIKH, General Energy Decay of a Thermoelastic Timoshenko System of Type III with Memory Damping</td>
      <td>133</td>
    </tr>
    <tr>
      <td>MANGA CLÉMENT, CISSE OUSMANE, DIATTA JEAN TOSSE, SANE IBRAHIMA, Coupling Homogenization and Large deviation Principle in a local time under Non Linear Wentzell Boundary Conditions</td>
      <td>134</td>
    </tr>
    <tr>
      <td>TYR OTHMAN, Absolute convergence of Mellin transforms</td>
      <td>135</td>
    </tr>
    <tr>
      <td>EL BAZ MUSTAPHA, AOURAGH MY DRISS, Existence and stability results of a thermoelastic nonlinear shear beam</td>
      <td>136</td>
    </tr>
    <tr>
      <td>NGAMOUYIH MOUSSATA CYR - SÉRAPHIN, Simulation numérique de la diffusion d'un pollutant dans un cours d'eau</td>
      <td>137</td>
    </tr>
    <tr>
      <td>BELGRAOUI YOUSSEF, BELMAATI AZIZA, Estimating parameters of stochastic Slals model for HIV transmission using the ensemble Kalman filter</td>
      <td>138</td>
    </tr>
    <tr>
      <td>BABRHOU YASSINE, KHADIJA CHANNAN, EL BOUKARI BRAHIM, HILAL KHALID, KAJOUNI AHMED, Dynamic Analysis of a Fractional S1S2IQR Epidemic Model with Standard Incidence Rate</td>
      <td>139</td>
    </tr>
    <tr>
      <td>GHOLALI FADWA, New generalization of the C-condition for (ξ; ζ) mappings in Cauchy problem conformable on modular metric spaces</td>
      <td>140</td>
    </tr>
    <tr>
      <td>EL MAHRAOUI ALI, EL AMROUSS A., KISSI FOUAD, Existence of Solutions for a Class of Superlinear Anisotropic Robin Problems with Variable Exponent</td>
      <td>141</td>
    </tr>
    <tr>
      <td>MOUZOUN AZIZ, ZEGLAMI DRISS, A functional equation originated from the product in a cubic number field</td>
      <td>142</td>
    </tr>
    <tr>
      <td>SABIQ AICHA, BOUJIJANE SAMIR, KHALIL EZZINBI, Viral Diffusion-Dynamics Model with Cellular Immune Response</td>
      <td>143</td>
    </tr>
    <tr>
      <td>EL HAMMANI MOHAMMED, DOUIRI SIDI MOHAMED, EL HARRAKI IMAD, Mathematical and Numerical Analysis of Chemotherapy Resistance in Tumors: Modeling Integrating Darwinian, Lamarckian, and Microvesicle-Mediated Mechanisms with the WENO5 Scheme</td>
      <td>144</td>
    </tr>
    <tr>
      <td>LADIB MOHAMED, OUHINOU AZIZ, The impact of tracing, monitoring, and hospitalizing on epidemic dynamics: an application to Ebola</td>
      <td>145</td>
    </tr>
    <tr>
      <td>SADIK AHMED, Neural Network Approach for Estimating Initial Conditions and Parameters in ODE Models: Application to an SEIuIdR Epidemiological Framework</td>
      <td>146</td>
    </tr>
  </tbody>
</table>
<table>
  <tr>
    <td>ISMAGUE FATIMA, AFRAITES LEKBIR, HAKIM ABDELILAH, SRATI MOHAMED, An inverse problem for determining the initial condition in a time-fractional diffusion equation using the ADMM method</td>
    <td>147</td>
  </tr>
  <tr>
    <td>MAHZOUM SOUKAINA, Spectral properties of skew-adjacency matrices in tournaments</td>
    <td>148</td>
  </tr>
  <tr>
    <td>FARHI SAMIR, EL BOUANANI HICHAM, Transferts de fonds et cycles économiques au Maroc: une analyse empirique</td>
    <td>149</td>
  </tr>
  <tr>
    <td>ARJDAL ISMAIL, EL HARFAOUI ECHARIF, Handling High-Dimensional Mixed Data: A Penalized Regression Framework with SCOPE and Adaptive Encoding Strategies</td>
    <td>150</td>
  </tr>
  <tr>
    <td>ECH-CHAKOURI ALI, On Supercyclicity of Linear Relations</td>
    <td>151</td>
  </tr>
  <tr>
    <td>SADOUK EL MOSTAFA, BENCHIHEB OTHMANE, AMOUCH MOHAMED, Recurrent Tuples and Backward Shifts on Double Sequence Spaces</td>
    <td>152</td>
  </tr>
  <tr>
    <td>CHEDDOUR AYOUB, KRICHE MOHAMMED, ELAZZOUZI ABDELHAI, Comparison of Two Algorithms for the Finite Volume Method</td>
    <td>153</td>
  </tr>
  <tr>
    <td>OUNAMANE SAID, SADEK LAKHLIFA, BOUCHRA ABOUZAID, SADEK EL MOSTAFA, Numerical technique for solving tempered variational problems</td>
    <td>154</td>
  </tr>
  <tr>
    <td>KADDIRI ADNANE, A study of a class of nonlinear double-phase parabolic systems: An example from advances in reaction-diffusion models (ARD)</td>
    <td>155</td>
  </tr>
  <tr>
    <td>BAZIRHA ZAROUAL, AZRAR LAHCEN, TPFA method for the two-dimensional Burgers' equation</td>
    <td>156</td>
  </tr>
  <tr>
    <td>DADES ABDELAALI, The continuous Mehler-Fock wavelet packets transform</td>
    <td>157</td>
  </tr>
  <tr>
    <td>MAAQOUL SALAHEDDINE, BELHADJ HASSAN, Efficient Splitting Method for the Korteweg-De Vries Equation</td>
    <td>158</td>
  </tr>
  <tr>
    <td>AL-RABEEI BORHAN, KASSOU FOUZIA, GHAFIRI ABDESSAMAD, Study of Water Seepage in Al-Wahda Dam and Its Impact on the Stability of the Earth Dam</td>
    <td>159</td>
  </tr>
  <tr>
    <td>SADEK LAKHLIFA, On cotangent fractional operators and their properties</td>
    <td>160</td>
  </tr>
  <tr>
    <td>MOKTAFI HOUDA, KHABAOUI HASSAN, EL FAHRI KAMAL, About the class of bounded-E(^a) operators</td>
    <td>161</td>
  </tr>
  <tr>
    <td>EL KHATIB BILAL, SETTATI ADEL, LAHROUZ AADIL, Network Scale Effects on Stochastic SIS Epidemic Persistence and Extinction</td>
    <td>162</td>
  </tr>
  <tr>
    <td>SMOUK ALI, RADID ATIKA, Numerical Analysis and Energy Decay of Timoshenko Linear Beam System</td>
    <td>163</td>
  </tr>
  <tr>
    <td>ZOZAN OKTAN, On the stability of a stochastic delay differential equations of fourth order</td>
    <td>164</td>
  </tr>
  <tr>
    <td>EL FARRAGUI MERYIEME, SOUHAR OTMANE, C GEORGIOU GEORGIOS, Multiresolution analysis for solving viscoelastic fluid flow with slip boundary conditions</td>
    <td>165</td>
  </tr>
  <tr>
    <td>SAHIB ISSAM, Mathematical Modeling and Analysis of Fast Food Consumption Dynamics</td>
    <td>166</td>
  </tr>
  <tr>
    <td>MOUTALIBI CHAIMA, AGHRICHE AHMED, EL HADFI YOUSSEF, Dynamics and numerical analysis of a Fractional Order Host-Parasite Model with Diffusion</td>
    <td>167</td>
  </tr>
  <tr>
    <td>NOUREDDINE ABDELOUAHAB, RAMADANE ABDERRAZAK, MOUZZOUN MILOUD, Comparative Analysis of Seismic Strengthening Systems for Existing Structures: Viscous Fluid Dampers vs Traditional Bracing</td>
    <td>168</td>
  </tr>
  <tr>
    <td>HIBBAH EL HOUCINE, MCMC tools for Model Uncertainty In Environment Emission Analysis</td>
    <td>169</td>
  </tr>
  <tr>
    <td>CHAKROUNE YASSINE, NAFIDI AHMED, Three-Parameter Estimation of the Stochastic Generalized Rayleigh Diffusion Process</td>
    <td>170</td>
  </tr>
  <tr>
    <td>ASKOURAYE NAJIB, AITALIOUBRAHIM MYELKEBIR, Viability results for first-order functional differential inclusions with φ-Laplacian in Banach spaces</td>
    <td>171</td>
  </tr>
  <tr>
    <td>ZERBIB SAMIRA, HILAL KHALID, KAJOUNI AHMED, Study of psi-Hilfer Fractional Fuzzy Hybrid Integro-Differential Equations</td>
    <td>172</td>
  </tr>
  <tr>
    <td>RACHAD HOUSSAME, BAHLOUL RACHID, N_alpha^F -FRACTIONAL SEMI-GROUPS OF OPERATORS</td>
    <td>173</td>
  </tr>
</table>
<table>
  <tr>
    <td>YASSIR ABDELLATIF, EL MOUMNI MOSTAFA, Existence of weak solutions for a (p(x), q(x))-elliptic system via topological degree</td>
    <td>174</td>
  </tr>
  <tr>
    <td>SECK CHEIKH TIDIANE, DJALOUD TOIHIR SOULAIMANA, A Functional Principal Component Analysis Approach to Conditional Copula Estimation</td>
    <td>175</td>
  </tr>
  <tr>
    <td>BOUHAMED ABDELHAK, Optimal Control Problem for a Semilinear Wave Equation</td>
    <td>176</td>
  </tr>
  <tr>
    <td>SABAH LAARIF, EL HADRI ZOUHAIR, A New Estimation Approach for Structural Equation Models</td>
    <td>177</td>
  </tr>
  <tr>
    <td>MOUSTAID MOHAMED BILAL, DALI ISSAM, Approximate Optimality and Approximate Duality for Multiobjective Fractional Interval-valued Problems</td>
    <td>178</td>
  </tr>
  <tr>
    <td>LAOUINA AZIZA, A New Approach to Modeling Multidrug-Resistant Tuberculosis</td>
    <td>179</td>
  </tr>
  <tr>
    <td>EL HABIB BANOUISSE, ELOMARI M'HAMED, AZIZ EL GHAZOUANI, Existence, Uniqueness, and Stability of Solutions for Nonlinear Neutral Volterra-Fredholm Integro-Differential Equations with Caputo Fractional Derivatives</td>
    <td>180</td>
  </tr>
  <tr>
    <td>ELAMRANI SLIMANE, RAJI ABDERRHMAN, COMMUTATIVITY OF 3-PRIME NEAR-RINGS INVOLVING HOMODERIVATIONS</td>
    <td>181</td>
  </tr>
  <tr>
    <td>EL HATTAB LOUBNA, ZARI TARIK, Le Marketing expérientiel et e-commerce : Le rôle des facteurs atmosphériques numériques dans le comportement d'achat des consommateurs</td>
    <td>182</td>
  </tr>
  <tr>
    <td>EL ALAOUI MOHAMMED, SIDI AMMI MOULAY RCHID, The Navier-Stokes Equations: Mathematics' Greatest Unsolved Challenge</td>
    <td>183</td>
  </tr>
  <tr>
    <td>HAMANI SOUIFANE, Epidemic Model of Tuberculosis: Analysis of Dynamic Transmission and Simulation</td>
    <td>184</td>
  </tr>
  <tr>
    <td>ABAAKIL WAFAE, LAABISSI MOHAMED, Exponential stabilization of wave equation with control saturation</td>
    <td>185</td>
  </tr>
  <tr>
    <td>ELMOUSSAOUY KAOUTAR, MESTARI MOHAMMED, BENHOUAD MOHAMED, Modeling Inflation in the Euro Area: Approach and Perspectives</td>
    <td>186</td>
  </tr>
  <tr>
    <td>KEITA LANCENI, AZRAR LAHCEN, ATEQ AHMED AL GHAMEDI, Locally meshfree RBF kernel-based method for solving multidimensional hyperbolic equations</td>
    <td>187</td>
  </tr>
  <tr>
    <td>LAKRIMI HAMZA, AMOUCH MOHAMED, Super-Recurrence of Elementary Operators</td>
    <td>188</td>
  </tr>
  <tr>
    <td>SADKI HAJAR, Solving the Flow Shop Scheduling Problem by Two Metaheuristics</td>
    <td>189</td>
  </tr>
  <tr>
    <td>BAROUDI SAMI, KASSIDI ABDERRAZAK, EL MFADEL ALI, ELOMARI M'HAMED, Existence and Uniqueness Results for Higher-Order Nonlinear Fractional Differential Equations via Coincidence Degree Theory</td>
    <td>190</td>
  </tr>
  <tr>
    <td>BOUSSAIRI ABDERRAHIM, CHERGUI BRAHIM, SARIR ZAINEB, ZOUAGUI MOHAMED, Quasi-orthogonal extension property of symmetric matrices</td>
    <td>191</td>
  </tr>
  <tr>
    <td>MOULAHARABBI SOMAYYA, BARRAA MOHAMED, Compact operators on right quaternionic Banach spaces</td>
    <td>192</td>
  </tr>
  <tr>
    <td>KARIM NOUREDDINE, BENCHIHEB OTMANE, AMOUCH MOHAMED, Luh hypercyclic vectors for composition operator</td>
    <td>193</td>
  </tr>
  <tr>
    <td>LAARICHI YASSINE, RHOLAM OUALID, Fuzzy Mathematics and LSTM for time series forecasting</td>
    <td>194</td>
  </tr>
  <tr>
    <td>INSAF MAROUANE, AZOUAGH NABIL, KABIL MUSTAPHA, Spatiotemporal Modeling for rainfall data in Morocco using the Quadrantal Autoregressive Model</td>
    <td>195</td>
  </tr>
  <tr>
    <td>RAIOUADI SALMA, EL ALAOUI TALIBI MOHAMED, HILAL MOUNA, A Fast Algorithm for Optimizing Load-Carrying Capacity in Lubrication Systems including Wall Slip and Cavitation</td>
    <td>196</td>
  </tr>
  <tr>
    <td>BENHADDA WALID, KASSIDI ABDERRAZAK, EL MFADEL ALI, ELOMARI M'HAMED, Existence criteria for fractional sequential hybrid integro-differential equations with tempered ψ-Caputo operators</td>
    <td>197</td>
  </tr>
  <tr>
    <td>SENGUN OGUZ MERVE, TUNÇ CEMIL, Hyers-Ulam Type Stabilities of Iterative Integro-Differential Equations of High Order</td>
    <td>198</td>
  </tr>
  <tr>
    <td>MOUJANE NOUREDDINE, EL OUAARABI MOHAMED, MELLIANI SAID, Choquard-Kirchhoff problems involving variable exponents depending on the solution</td>
    <td>199</td>
  </tr>
  <tr>
    <td>ENNOURI CHIMAA, ROUBI AHMED, BOUFI KARIMA, Minimizing Fractional Programs by Blocks</td>
    <td>200</td>
  </tr>
</table>
<table>
  <tr>
    <td>BOUAULTAINE OUMAIMA, EL KARCHANI MARYEM, IDRISSI FATMI NADIA, Optimal Control Strategies for Reducing Cardiovascular and Type 2 Diabetes Risks in Psoriasis and Psoriatic Arthritis: A Mathematical Analysis and Numerical Simulation</td>
    <td>201</td>
  </tr>
  <tr>
    <td>RIKOUANE AHMED, LAGHDIR MOHAMED, Optimality conditions and duality of approximate proper efficiency for bilevel multiobjective fractional programming problems with extremal-value function</td>
    <td>202</td>
  </tr>
  <tr>
    <td>TAGDAMTE IMAD, Hamiltonien de Davydov-Chaban avec la masse dépendante de la déformation pour le potentiel sextique</td>
    <td>203</td>
  </tr>
  <tr>
    <td>MEFTAH NAIMA, MOHAMED AMOUCH, Dynamical analysis of tumor-dystrophin interaction model with impact of age of onset and staging</td>
    <td>204</td>
  </tr>
  <tr>
    <td>BAHOUH OUALID, OUHINOU AZIZ, EZZINBI KHALIL, Qualitative analysis of a SEIR epidemic model in spatially heterogeneous environment</td>
    <td>205</td>
  </tr>
  <tr>
    <td>HACHOUM SIHAM, A Mathematical Model of Rust Disease Propagation with Delays</td>
    <td>206</td>
  </tr>
  <tr>
    <td>GOUACH KENZA, EZZAHRAOUI HAMID, On the A-contrations operators</td>
    <td>207</td>
  </tr>
  <tr>
    <td>ATZEMOURT MOSSAAB, HACHKAR ZAKARIA, CHIHAB YOUNES, Beamforming Optimization techniques for 6G Networks: Approaches and Perspectives</td>
    <td>208</td>
  </tr>
  <tr>
    <td>ESSEROUKH MOUAD, SETTATI ADEL, HARCHAOUI BILAL, Logistic Growth and Relapse in the Stochastic Dynamics of SIRI Epidemics</td>
    <td>209</td>
  </tr>
  <tr>
    <td>SOUALHINE KHALID, TALBI MOHAMED, TSOULI NAJIB, ON A CLASS OF GENERALIZED P(X)-BIHARMONIC PROBLEM WITH NO-FLUX BOUNDARY CONDITION</td>
    <td>210</td>
  </tr>
  <tr>
    <td>DARMOUN SABER, ABDELMOUMEN KHALID, BEN-AZZA HUSSAIN, Height of Reed-Muller Codes: A Computational Study</td>
    <td>211</td>
  </tr>
  <tr>
    <td>BAIHI ASMAA, LMOU HAMID, HILAL KHALID, KAJOUNI AHMED, The generalized Laplace transform method for a $\psi$-Caputo coupled system of Volterra integro-differential equations</td>
    <td>212</td>
  </tr>
  <tr>
    <td>FARHAT KARIM, ELLAHIANI IDRISS, AJEBBAR OMAR, BOUIKHALENE BELAID, Hyers-Ulam Stability Analysis of Some Third-Order Linear Differential Equations with Constant Coefficients</td>
    <td>213</td>
  </tr>
  <tr>
    <td>SADEK SOUKAINA, ELOMARI M'HAMED, TAQBIBT ABDELLAH, Generalized solution of transport equation in Colombeau algebra using fixed point</td>
    <td>214</td>
  </tr>
  <tr>
    <td>ABDELALI OUFKIRI, ZARI TAREK, Green Supply Chain Management and Overall Performance of Moroccan Industrial Firms: An Empirical Assessment Using Structural Equation Modeling</td>
    <td>215</td>
  </tr>
  <tr>
    <td>HAFID MERYEM, ABDELALIM SEDDIK, ELMOUKI ILIAS, KARIM DRISS, On the Optimization of Control Flow Graphs: Algorithmic and Computational Perspectives</td>
    <td>216</td>
  </tr>
  <tr>
    <td>DOUHOU ABDESSAMAD, MAADEN ABDELHAKIM, An equilibrium vectorial version of Borwein-Preiss's variational principle</td>
    <td>217</td>
  </tr>
  <tr>
    <td>JOURHMANE HAMZA, KASSIDI ABDERRAZAK, ELOMARI M'HAMED, HILAL KHALID, Topological degree for an anisotropic equation with variable growth</td>
    <td>218</td>
  </tr>
  <tr>
    <td>KHAIDER HASSAN, EL OUAARABI MOHAMED, RAJI ABDERRAHMANE, The global existence of the stochastic Quasi-geostrophic equations in Fourier-Besov-Morrey spaces</td>
    <td>219</td>
  </tr>
  <tr>
    <td>ATTMANI JAMAL, ATLAS ABDELGHAFOUR, KARAMI FAHD, A Novel Dynamic Threshold Approach for Image Restoration</td>
    <td>220</td>
  </tr>
  <tr>
    <td>SOW EL HADJI, Points algébriques de degrés au-plus 5 sur la courbe C d'équation affine y^2=3(x^5-1)</td>
    <td>221</td>
  </tr>
  <tr>
    <td>MABROUK M'HAMED, LAGHDIR MOHAMED, ED-DAHDAH AHMED, Sequential efficiency optimality conditions for a robust multiobjective fractional optimization problems</td>
    <td>222</td>
  </tr>
  <tr>
    <td>ZAHRAOUI HANANE, EL HADRI ZOUHAIR, HANAFI MOHAMED, ZIANI MOHAMED, Regularized generalized canonical correlation analysis for multiblock data analysis</td>
    <td>223</td>
  </tr>
  <tr>
    <td>EZZIDANI AMAL, GHAZALI MOHAMED, EL MOIZE OTHMANE, The M[X]/M/1 queue with single server breakdowns</td>
    <td>224</td>
  </tr>
</table>
<table>
  <tr>
    <td>ED-DAHDAH AHMED, LAGHDIR MOHAMED, MABROUK M'HAMED, AMMAR ABDELGHALI, Approximate weak and proper subdifferentials of the difference of two vector convex mappings and applications</td>
    <td>225</td>
  </tr>
  <tr>
    <td>AHSSOUS FATIMA-ZAHRA, CHAMLAL HASNA, OUALKACHA KARIM, Comparing Penalized and Random Effects Quantile Regression Models for Longitudinal Data</td>
    <td>226</td>
  </tr>
  <tr>
    <td>SERSIF RACHID, ECHARGHAOUI RACHID, Multiplicity of solutions for fractional (p,q)-Laplacian equations involving the critical exponents and Hardy potential in RN</td>
    <td>227</td>
  </tr>
  <tr>
    <td>HASSANI HALIMA, Li-Yorke chaotic C0-semigroup</td>
    <td>228</td>
  </tr>
  <tr>
    <td>HMARRASS HANANE, QESMI REDOUANE, Threshold Dynamics of an Hiv Reactivation Model with Latent Infection, Macrophages, Logistic Growth, and Distributed Delay</td>
    <td>229</td>
  </tr>
  <tr>
    <td>TOURIA BOUMAAZA, Dynamics of interval maps</td>
    <td>230</td>
  </tr>
  <tr>
    <td>CHEKIRA CHAIMAE, EL FADILI HAKIM, Applications of discrete moments in image watermarking</td>
    <td>231</td>
  </tr>
  <tr>
    <td>KOUAKOU VINCENT KOUASSI, On the Rank of a Subfamily of Elliptic Curves Extracted From y<sup>2</sup>=x<sup>3</sup>-(a+bt)x</td>
    <td>232</td>
  </tr>
  <tr>
    <td>EZ-ZAHER MOHAMMED-YASSER, SEDDIK ABDELALIM, ED-DYB CHAYMAE, ELMOUKI ILIAS, ON THE RESOLUTION OF THE LATTICE VECTOR PROBLEMS USING Q AND R MATRICES</td>
    <td>233</td>
  </tr>
  <tr>
    <td>AARAB AMAL, DRIOUCH AICHA, Uncertainty modelling of the nonlinear Black-Scholes equation and decision-making using fuzzy logic</td>
    <td>234</td>
  </tr>
  <tr>
    <td>BEN LAHBIB ABDELAZIZ, AZRAR LAHCEN, AL-GHAMEDI ATEQ AHMED, Stochastic analysis of temporal tumor evolution with macrophage effects</td>
    <td>235</td>
  </tr>
  <tr>
    <td>RADAH AMINE, ELHIA MOHAMED, Évaluation du système Ramed dans la ville d'Agadir : Modélisation par équations structurelles</td>
    <td>236</td>
  </tr>
  <tr>
    <td>BARBARA IDRISS, MASROUR TAWFIK, HADDA MOHAMMED, Adaptive Sampling-Enhanced PINNs for Improved Thermal Modeling in Additive Manufacturing</td>
    <td>237</td>
  </tr>
  <tr>
    <td>EL KAZOUI KHALIL, Stabilization with decay estimate of distributed parameter second order systems by bilinear control damping</td>
    <td>238</td>
  </tr>
  <tr>
    <td>AIT BRIK ASMAA, ABDELALIM SEDDIK, ELMOUKI ILIAS, YASSIR TARIK, Anticycling in Linear Problems With Big Data</td>
    <td>239</td>
  </tr>
  <tr>
    <td>BASSIR IBRAHIM, ACHCHAB BOUJEMÂA, SEAID MOHAMMED, Numerical Solution of Time-Dependent Heat Diffusion Problems Using an Enriched Finite Element Method</td>
    <td>240</td>
  </tr>
  <tr>
    <td>HABRI HAKIM, FAHID BRAHIM, EL KOUFI AMINE, Dynamics of a Two-Strain Epidemic Model in Complex network with Nonlinear Incidence rate and time delay</td>
    <td>241</td>
  </tr>
  <tr>
    <td>HOUSSA NOUHAILA, ABDELALIM SEDDIK, ED-DYB CHAYMAE, ELMOUKI ILYAS, Developing A Supervised Learning-Based Web Application For Cancer Tumor Analysis</td>
    <td>242</td>
  </tr>
  <tr>
    <td>BASSIR MOHAMED EL HASSAN, ACHCHAB BOUJEMÂA, AGOUZAL ABDELLATIF, Analysis of Anisotropic Interpolation Error in Sobolev Spaces with Applications to Mesh Optimization</td>
    <td>243</td>
  </tr>
  <tr>
    <td>ANKHILI ZAKIA, HIMMI HANANE, OUMOUN MOHAMED, Optimizing over the Weakly Efficient set of a Multi-Objective Optimization Problem</td>
    <td>244</td>
  </tr>
  <tr>
    <td>AOURAGH MY DRISS, EL ALAMI BOUCHRA, EL BAZ MUSTAPHA, SEGAOUI M'HAMED, SOUFYANE ABDELAZIZ, Stability and Numerical Results for Double Wall Carbon Nanotubes Modeled as Shear Beams</td>
    <td>245</td>
  </tr>
  <tr>
    <td>AGUEDJIG HAMZA, Mathematical Model of Tumor Spheroid with Real-Time Cell Cycle and Physics-Informed Neural Networks</td>
    <td>246</td>
  </tr>
  <tr>
    <td>BOUAAM HIND, Variable exponent Kirchhoff-type problems involving singular and non-local terms on Riemannian manifolds</td>
    <td>247</td>
  </tr>
  <tr>
    <td>CHERKAOUI FATIMA, HILAL KHALID, QAFFOU ABDELAZIZ, Dynamic analysis of fractional order SEQIR epidemic model with nonlinear incidence rate and application to COVID-19 pandemic in Morocco and Italy</td>
    <td>248</td>
  </tr>
</table>
<table>
  <tr>
    <td>OUBAHA AICHA, EL OUAARABI MOHAMED, RAJI ABDERRAHMANE, A bi-nonlocal fourth-order elliptic problem</td>
    <td>249</td>
  </tr>
  <tr>
    <td>JARIR OMAR, EZZAKI HASSAN, EL KAZOUI KHALIL, Output stabilization of infinite dimensional bilinear systems with delayed observation</td>
    <td>250</td>
  </tr>
  <tr>
    <td>BELKANOUFI RADOINE, TAIK AHMED, BELJADID ABDELAZIZ, Mesh-Free Approaches for Solving the Advection-Dispersion Equation in Unsaturated Flow Systems</td>
    <td>251</td>
  </tr>
  <tr>
    <td>MORTAJI FARID, LAARABI HASSAN, ABTA ABDELHADI, Global stability analysis, stabilization and synchronization of an SEIR epidemic model</td>
    <td>252</td>
  </tr>
  <tr>
    <td>CHEFNAJ NAJAT, HILAL KHALID, KAJOUNI AHMED, Analytical investigation of Fractal Fractional Differential Equations with Nonlocal Conditions</td>
    <td>253</td>
  </tr>
  <tr>
    <td>DOUISSI SOUKAINA, VIENS FREDERI, ERNST PHILIP, Asymptotics of Yule's nonsense correlation for Ornstein-Uhlenbeck paths: The correlated case</td>
    <td>254</td>
  </tr>
  <tr>
    <td>BENKHALOU HAYAT, Existence and uniqueness of solutions for a p(x)-Schrödinger-type equation under Fourier boundary conditions</td>
    <td>255</td>
  </tr>
  <tr>
    <td>BALHAG AICHA, A coupled continuous dynamical system for nonconvex optimization</td>
    <td>256</td>
  </tr>
  <tr>
    <td>RIAHI CHAIMAA, EL FOUTAYENI YOUSSEF, Segmentation of Transition Matrices Using Eigenvalues</td>
    <td>257</td>
  </tr>
  <tr>
    <td>AZZOUGAGH FATIMA-EZZAHRA, AGMOUR IMANE, EL FOUTAYENI YOUSSEF, Mathematical Modeling of Ecosystem Interactions</td>
    <td>258</td>
  </tr>
  <tr>
    <td>EL AABBADI ABDELLAH, Numerical Simulation of the Spatial Solow Model</td>
    <td>259</td>
  </tr>
  <tr>
    <td>MAAROUF NISRINE, Conservation Laws and Symmetry Reductions of the Time-fractional modified Hunter–Saxton Equation</td>
    <td>260</td>
  </tr>
  <tr>
    <td>BAQQASS SANAE, EL KHAMLICHI SOKAINA, BENSAOUD IMADE, ZOGLAT ABDELHAK, AMAR AMINE, Examining the Impact of Fuel Prices and Inflation on High-Speed Rail Demand in Morocco: A Predictive Modeling Study</td>
    <td>261</td>
  </tr>
  <tr>
    <td>OUBARKA ISMAIL, BENKHALDOUN FAYSSAL, ELMAHI IMAD, DELEERSNIJDER ERIC, Integrating Numerical Methods and Neural Networks for Solving Shallow Water Equations</td>
    <td>262</td>
  </tr>
  <tr>
    <td>BOUNKAICHA CHOUAIB, ALLALI KARAM, Stability Analysis of a Reaction-diffusion Fractional-Order SEIR Model with a Saturated Incidence Rate and vaccination</td>
    <td>263</td>
  </tr>
  <tr>
    <td>ZIOUANE MOHAMED, MOURAD NACHAOUI, LAGHRIB AMINE, NACHAOUI ABDELJALIL, Optimization Algorithms for Real-World Challenges: A Comparative Analysis of CG, BFGS, and L-BFGS</td>
    <td>264</td>
  </tr>
  <tr>
    <td>EL FAHFOUHI HANAE, EN-NAIMANI ZAKARIAE, HADDOUCH KHALID, Hybrid MLP-XGBoost Model for Bitcoin Price Prediction</td>
    <td>265</td>
  </tr>
  <tr>
    <td>EL KARKRI IMAD, LAKEHAL ABDELGHNI, EEFQIO: A hybrid meta-heuristic optimization algorithm for global optimization</td>
    <td>266</td>
  </tr>
  <tr>
    <td>GHANDOR WADII, THE CONTROLLABILITY OF LINEAR FRACTIONAL DELAY DENAMICAL SYSTEMS</td>
    <td>267</td>
  </tr>
  <tr>
    <td>EL-ALOUY YASSINE, EL BAZ AYAD, Exchange rate pass-through in Morocco: A Markov Switching Analysis</td>
    <td>268</td>
  </tr>
  <tr>
    <td>ZAHNAOUI IBTISSAM, EL BOUJAOUI HICHAM, Predicting Stock Market Volatility with LSTM Models</td>
    <td>269</td>
  </tr>
  <tr>
    <td>MALGHI HAYAT, Existence and Ulam-Hyers Stability of mild solutions for a class the hybrid fractional ψ-Caputo</td>
    <td>270</td>
  </tr>
  <tr>
    <td>EL BEZDAOUI LATIFA, Fractional powers of Hankel transform in Colombeau algebra</td>
    <td>271</td>
  </tr>
  <tr>
    <td>ERRAMI KHALID, OUHINOU AZIZ, A modeling approach to assess the effect of contact tracing on epidemic dynamics</td>
    <td>272</td>
  </tr>
  <tr>
    <td>SADEK FATIMA-EZZAHRA, AMOUCH MOHAMED, Common recurrent vectors</td>
    <td>273</td>
  </tr>
  <tr>
    <td>EL OUADEFLI LAHCEN, EL AKKAD ABDESLAM, ELKHALFI AHMED, Solving the biharmonic problem using isogeometric analysis over multipatch domain</td>
    <td>274</td>
  </tr>
</table>
<table>
  <tr>
    <td>ELBOULQE YOUSSEF, EL MAGHRI MOUNIR, An explicit three-term Polak-Ribière-Polyak conjugate gradient method for bicriteria optimization</td>
    <td>275</td>
  </tr>
  <tr>
    <td>FATIH HAJAR, Étude des déterminants de la perception des TPME marocaines à l'égard du produit bancaire islamique « Salam » : régression logistique</td>
    <td>276</td>
  </tr>
  <tr>
    <td>MOURAD MAAROUF, Etude de la relation non linéaire entre l'incertitude liée à l'inflation et l'inflation : Cas du Maroc</td>
    <td>277</td>
  </tr>
  <tr>
    <td>SADOUKI ISMAIL, EL MFADEL ALI, QAFFOU ABDELAZIZ, Approximate Controllability of Fractional Control Systems with Infinite Delays via β-Order Cosine Families in Banach Space</td>
    <td>278</td>
  </tr>
  <tr>
    <td>ELHAKIMY KHADIJA, EL MFADEL ALI, MELLIANI SAID, Existence of solutions for uncertain nonlocal fractional differential equations via generalized Krasnosel'skii fixed point theorem</td>
    <td>279</td>
  </tr>
  <tr>
    <td>FANTASSE YASSINE, Hausdorff type operators and wavelet transform associated with the modified</td>
    <td>280</td>
  </tr>
  <tr>
    <td>SANNAKY IBTISSAM, EL BERRAI IMANE, ADNAOUI KHALID, Transmission of Pathogens among species - A mathematical Approach -</td>
    <td>281</td>
  </tr>
  <tr>
    <td>AZNAGUE SOULAIMANE, Long-Term Behavior of Stochastic SVIQS Epidemic Models</td>
    <td>282</td>
  </tr>
  <tr>
    <td>AHMAD ANIS MARDIANA, NANA KHURIZAN NOOR SAIFURINA, Framework for Evaluating University Faculty Efficiency Using Hierarchical Network Data Envelopment Analysis</td>
    <td>283</td>
  </tr>
  <tr>
    <td>KASIM KARTINI, HAMID HASHIBAH, ABDUL-RAHMAN AYU, A modified location model based on robust approaches for mitigating the impact of outliers</td>
    <td>284</td>
  </tr>
  <tr>
    <td>ESSEFIANI OUMAIMA, Some Estimation Methods for a Random Coefficient in the Gegenbauer Autoregressive Moving-Average Model</td>
    <td>285</td>
  </tr>
  <tr>
    <td>BELHDID SALAHEDDINE, On the optimal control of rumor and its impact on the economic environment</td>
    <td>286</td>
  </tr>
  <tr>
    <td>OUYADRI MOURAD, Proposition of a novel SIRS epidemic model with double epidemics and coexisting epidemics</td>
    <td>287</td>
  </tr>
  <tr>
    <td>DOUICH YASSINE, SILKAN HASSAN, HANYF YOUSSEF, Eikonal Equation Solved with a Novel Lattice Boltzmann Method Framework</td>
    <td>288</td>
  </tr>
  <tr>
    <td>JIHAD BENZAID, Identities Involving Symmetric and Skew-Symmetric Elements in a Prime Ring with Involution</td>
    <td>289</td>
  </tr>
  <tr>
    <td>FIKRI KARIM, ADNAOUI KHALID, MOUAKKIR LAILA, Le comportement mécanique des plaques FG poreuses sur des fondations élastiques</td>
    <td>290</td>
  </tr>
  <tr>
    <td>MOUCHTABIH SOUFIANE, Mckean-Vlasov BSDEs with locally monotone coefficient</td>
    <td>291</td>
  </tr>
  <tr>
    <td>OUTAAOUI KHALID, AIT EL HARCH ILHAM, EL FOUTAYENI YOUSSEF, Bioeconomic Modeling of a Complex System of Renewable Common Resources: A Case Study of Moroccan Fisheries</td>
    <td>292</td>
  </tr>
  <tr>
    <td>OULGHAZI HAMID, A new approach based in deep neural network for solving stochastic optimal control driven by diffusion process with jumps</td>
    <td>293</td>
  </tr>
  <tr>
    <td>DAOUDI HAMZA, The Autoregressive Distributed Lag (ARDL) cointegration approach for analyzing the relationship between interest rates and per capita income variables</td>
    <td>294</td>
  </tr>
  <tr>
    <td>MASMODI MOHAMED, Strongly nonlinear parabolic equations with natural growth in general domains</td>
    <td>295</td>
  </tr>
  <tr>
    <td>ECHARGHAOUI RACHID, KHARMOUDI MOHAMED BELHAJ, KHOUAKHI MOUSSA, MOHAMED MASMODI, A multiplicity result via Ljusternik-Schnirelmann category for a fractional equation involving Hardy-Littlewood-Sobolev critical exponent</td>
    <td>296</td>
  </tr>
  <tr>
    <td>FAKHRI MARWAN, EL HOUCH ATMANE, BENSLIMANE YASSINE, Exponential stabilisation in Banach spaces for a class of bilinear systems with distributed delay</td>
    <td>297</td>
  </tr>
  <tr>
    <td>NAIT ALI NACER, BENSAD ALAA EDDINE, IKEMAKHEN AZIZ, Non-negative spherical barycentric coordinates for non-convex geodesic polygons and applications</td>
    <td>298</td>
  </tr>
  <tr>
    <td>ABOUBKER HASSAN, MORCHID ALAOUI MY DRISS, Multiplicity of solutions for a singular Kirchhoff bi-nonlocal elliptic problem driven by the p(x)-biharmonic operator</td>
    <td>299</td>
  </tr>
</table>
<table>
   <tr>
    <td>KHOUAKHI MOUSSA, Existence and multiplicity of positive solutions for a critical fractional Laplacian equation with singular nonlinearity</td>
    <td>300</td>
   </tr>
   <tr>
    <td>BOUIDI ALAEDDINE, BENHACHMI MOHAMMED KARIM, TALEB ABDESLAM, OPTIMAL DESIGN OF WATER DISTRIBUTION NETWORKS USING LION OPTIMIZATION ALGORITHM</td>
    <td>301</td>
   </tr>
   <tr>
    <td>IZID MALIKA, CAHADI OUAZZANI AMINA, Geometric Properties of the N-Bishop Frame and Its Spherical Indicatrices</td>
    <td>302</td>
   </tr>
   <tr>
    <td>EL YAHYAI ABDESLAM, Positive solutions to multi-critical elliptic problems</td>
    <td>303</td>
   </tr>
   <tr>
    <td>AIT DADA ALLA SAID, EL HAJI BADR, AZRAIBI OUIDAD, Study of Nonlinear Elliptic Equations with Measurable Boundary Conditions in Anisotropic Weighted Sobolev Spaces</td>
    <td>304</td>
   </tr>
   <tr>
    <td>ELKHETTAB AHLAM, Compartmental Model of Kidney Function Decline Under the Influence of Diabetes and Hypertension</td>
    <td>305</td>
   </tr>
   <tr>
    <td>ALDAWSARI KHALID, ALMUSAWA MUSAWA, HAMALI WALEED, Unveiling the Mathematical Marvels: Exploring Differential and Integral Equations for Multivariate Hermite-Frobenius-Genocchi Polynomials</td>
    <td>306</td>
   </tr>
   <tr>
    <td>CHERGUI BRAHIM, About Critical 3-Hypergraphs</td>
    <td>307</td>
   </tr>
   <tr>
    <td>BOUSSAIRI ABDERRAHIM, EZZAHIR SARA, LAKHLIFI SOUFIANE, MAHZOUM SOUKAINA, Skew-adjacency matrices of tournaments</td>
    <td>308</td>
   </tr>
   <tr>
    <td>ECHCHAABAOUI EL MAHJOUB, SEQUENTIAL CALCULUS RULE FOR CODERIVATIVE AND APPLICATION</td>
    <td>309</td>
   </tr>
   <tr>
    <td>EL BOUAZIZI MOHAMMED, ELHAMMA MOHAMED, DAHER RADOUAN, Boas-type theorems for the modified Whittaker transform</td>
    <td>310</td>
   </tr>
   <tr>
    <td>SOUKTANI IMANE, About the Spectral Theory of Graphs and Two-graphs</td>
    <td>311</td>
   </tr>
   <tr>
    <td>HAY IHSSANE, Iterative algorithm for a common solution of split equilibrium problems and fixed points problems of a finite family of nonexpansive mapping</td>
    <td>312</td>
   </tr>
   <tr>
    <td>BEN AMMA BOUCHRA, MELLIANI SAID, CHADLI LALLA SAÂDIA, Hyperbolic Differential Equation with Fuzzy Parameters</td>
    <td>313</td>
   </tr>
   <tr>
    <td>BOUHOUCH ABDERRAHIM, 5D Black Holes and Black strings from M-Theory in Complete Intersection Calabi-Yau Three-folds (CICY3)</td>
    <td>314</td>
   </tr>
   <tr>
    <td>HILAL SOUKAINA, Mathematical modeling of improving the understanding of a mathematical concept learned by a teacher of mathématics optimal control</td>
    <td>315</td>
   </tr>
   <tr>
    <td>LEHRIZI KAWTAR, Image denoising via optimal control of the diffusivity function in the Perona-Malik model</td>
    <td>316</td>
   </tr>
   <tr>
    <td>KOUMLA SYLVAIN, EZZINBI KHALIL, NELIO NDOGOTAR, Integrodifferential evolution systems with nonlocal initial conditions</td>
    <td>317</td>
   </tr>
   <tr>
    <td>EL GOURMATI KHADIJA, Double Conformable Fourier Transform</td>
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    <td>319</td>
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ABSTRACTS [COMPUTER SCIENCE]

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    <td>352</td>
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<table><tr><td>BENMANSOUR OUSSAMA, MEDARHRI IBTISSAM, HOSNI MOHAMED, Predictive Maintenance in Industrial Systems Using Machine Learning: A Review</td><td>419</td></tr><tr><td>SOUKRI AZIZ, EL BANNAY OMAR, GHOFIR KARIM, Dynamique des Bibliothèques Python Pour Les Matrices issues des Problèmes Inverses Mal Posés</td><td>420</td></tr></table>
L'image des opérateurs élémentaires

**Communication Info**

**Authors:**

El Mouadine Hamza¹

¹ Faculté des sciences -
Université Chouaib Doukkali, El
Jadida, Maroc

**Keywords:**

(1) Théorie des opérateurs

(2) Opérateurs élémentaires

(3) Dérivations

(4) Dérivations généralisées

(5) Image, noyau

**Abstract**

Une dérivation interne $\delta_A$ est une application définie sur l'algèbre des opérateurs bornés $\mathcal{L}(H)$ par $\delta_A(X) = AX - XA$. L'appellation dérivation est justifiée par la relation $\delta_A(XY) = \delta_A(X)Y + X\delta_A(Y)$. Le point de départ de la théorie des dérivations a été l'établissement par Wintner [1], que l'opérateur identité ne peut jamais s'écrire sous la forme $AB - BA$, i.e., l'identité n'est pas un commutateur d'opérateurs bornés. Cette application dont la forme est simple, fut une source d'investigations depuis les années cinquante du siècle dernier dans tous les aspects :

- Détermination de son spectre et des parties du spectre [2] [3].

- Est-ce que toute application, qui est digne de l'appellation dérivation (elle vérifie la relation en haut), a la forme $\delta_A$ pour un opérateur $A$ ? [4].

- Détermination de la norme de $\delta_A$ [5] et d'autres problèmes [6].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] A. Wintner, The Unboundedness of Quantum-Mechanical Matrices, Phys. Rev., 71, 1947, 738.

[2] M. Rosenblum, On the operator equation $BX - XA = Q$, Duke Math. J., 23, 1956, 263-269.

[3] C. Davis and P. Rosenthal, Solving linear operator equations, Canad. J. Math., 26, 1974, 1384-1389.

[4] S. Sakai, Derivations of $W^*-algebra$, Ann. Math., 83, 1966, 273-279.

[5] J. Stampfli, The norm of a derivation, Pac. J. Math., 33, 1970, 737-747.

[6] M. Mathieu, Elementary Operators and Applications, World Scientific, 1992.
Mathematical Analysis of the Effects of Food Influencers on
Consumers Food Choices

**Communication Info**

**Authors:**

Anwar El Fadil El Idrissi
Abdelhak Yaacoubi

MAEGE, Hassan II University of
Casablanca-AIN SEBAA,
Casablanca, Morocco

**Keywords:**

Food influencers,
Mathematical modeling,
Consumer behavior, Social
media mar, Ket-ing,
Epidemiological models,
Stability analysis, Numerical
simulation

**Abstract**

This research explores the impact of food influencers on consumer behavior in the food industry. The study categorizes the population into three groups: those who are unaware U, those actively engaged E, and those who have adopters A. The model uses equations inspired by epidemic studies to understand how new food trends spread or fade over time. Key parameters like engagement rate $\beta2$, adoption rate $\beta2$, net transition rate $\theta$, and exit rate $\mu$ are assessed.

Numerical simulations show how interactions and receptiveness evolve over time, emphasizing the importance of strategies that enhance consumer engagement and simplify the adoption process while reducing dropout rates to promote acceptance. This research provides valuable insights for marketers and businesses looking to leverage social media influence in promoting new food products.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Bass, F. M. (1969). A new product growth for model consumer durables. Management Science, 15(5), 215-227.

[2] Bettencourt, L. M. A., Cintrón-Arias, A., Kaiser, D. I., Castillo-Chávez, C. (2006). The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models. Physica A: Statistical Mechanics and its Applications, 364, 513-536.

[3] De Veirman, M., Cauberghe, V., Hudders, L. (2017). Marketing through Instagram influencers: The impact of number of followers and product divergence on brand attitude. International Journal of Advertising, 36(5), 798-828.

[4] Goldenberg, J., Libai, B., Muller, E. (2001). Talk of the network: A complex systems look at the underlying process of word-of-mouth. Marketing Letters, 12(3), 211-223.

[5] Granell, C., Gómez, S., Arenas, A. (2013). Dynamical interplay between awareness and epidemic spreading in multiplex networks. Physical Review Letters, 111(12), 128701.
Real Case Study of Moroccan Tri-Trophic Model
with Alternative Food

**Communication Info**

**Authors:**

Nossaiba BABA<fnref n="1" />
Imane AGMOUR <fnref n="1" />
Youssef EL FOUTAYENI <fnref n="2" />
Naceur ACHTAICH <fnref n="1" />

**Keywords:**

(1) Fish population

(2) Alternative food

(3) Tri-trophic model

(4) Maja Squinado

(5) Octopus Vulgaris

(6) Xiphias gladius

(7) Stability analysis.

**Abstract**

In this study, we perform a comprehensive analytical and numerical analysis of the dynamics within the Moroccan tri-trophic marine ecosystem, focusing on the species Maja Squinado, Octopus Vulgaris, and Xiphias Gladius. We compare the behavior of the system with and without alternative food sources. Mathematically, we explore the positivity, boundedness, equilibrium points, and their stabilities in both scenarios. The effect of alternative food resources on intermediate predators (Octopus Vulgaris) is examined in the context of a Holling II functional response. Our results reveal that when predators rely solely on their preferred prey, their biomass initially peaks before declining. However, the availability of alternative food sources allows the prey population to recover, thus maintaining a stable predator biomass. This highlights the essential role of alternative food sources in maintaining ecosystem stability and the closer alignment of the model with real-world dynamics

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Nossaiba Baba; Imane Agmour; Youssef El Foutayeni; Naceur Achtaich. Real-case study of the Moroccan tri-trophic model with alternative food. Int. J. Computational Biology and Drug Design, Vol. 16, No. 2, 2024.

[2] Baba, N., Idmbarek, A., Bendahou, F.E., El Foutayeni, Y. and Achtaich, N. (2013) ‘Navigating the Allee effect: unraveling the influence on marine ecosystems’, J. Coast Conserv., Vol. 27, p.65, https://doi.org/10.1007/s11852-023-00989-1

[3] Baba, N., Agmour, I., El Foutayeni, Y. and Achtaich, N. (2024) ‘Toxicity impacts on bioeconomic models of phytoplankton and zooplankton interactions’, Ocean Dynamics, Vol. 74, pp.53–66, https://doi.org/10.1007/s10236-023-01588-2

[4] Bendahou, F.E., Baba, N., Hafdane, M. et al. Bioeconomic assessment of refuge availability under various scenarios: impact on species biomass, fishing effort, and profits. J Coast Conserv 28, 46 (2024). https://doi.org/10.1007/s11852-024-01039-0

[5] Baba, N., Hafdane, M., Agmour, I. et al. Investigating the influence of light pollution on the bioeconomic dynamics of fisheries. J Coast Conserv 28, 23 (2024). https://doi.org/10.1007/s11852-023-01027-w

<footnote n="1">¹ Hassan II University of
Casablanca, Morocco</footnote>

<footnote n="2">² Cadi Ayyad University-
Marrakech-Morocco</footnote>
<figure><img src="image_6.png" /></figure>

# Existence de solutions d'équations présentant des non-linéarités asymétriques

## Communication Info

**Authors:**

LAHBOUB Mohamed¹
ABCHIR Chakib ²

¹ FST, Mohammadia, Morocco

**Keywords:**

(1) degré topologies

(2) operateurs elliptiques

(3) space reflexive

## Abstract

On donne des résultats d'existence et la non-existence de solution du problème suivant :

$$Au = g(x, u) + h$$

Avec $\lim_{+\infty} \frac{g(x,s)}{s} = \alpha$ et $\lim_{-\infty} \frac{g(x,s)}{s} = \beta$ et A est un opérateur linéaire.

Pour cela on utilise la théorie du degré topologique au sens de Leray-Schauder ou de Brouwer et les inégalités vérifiées par l'opérateur A où :

$$Au = \alpha u^{+} - \beta u^{-}$$

On suppose que $\Omega$ est un ouvert borné de $\mathbb{R}^n$ et que l'opérateur $A:D(A)\subset L^2(\Omega)\to L^2(\Omega)$ est auto adjoint à résolvante compacte cela signifie que $D(L)$ est dense dans $L^2$ et que $A$ est fermé.

On considère une valeur propre de multiplicité supérieur ou égale 2 de A et on note par $\varphi$ une fonction qui lui associée.

$g: \Omega \times \mathbb{R} \to \mathbb{R}$ est une fonction carathéodory et $h \in L^2(\Omega)$,

On appelle le spectre de Fucik associé à l'opérateur A et on note $\Sigma$ l'ensemble des couples $(\alpha, \beta) \in \mathbb{R} \times \mathbb{R}$ tel l'équation

$$Au = \alpha u^{+} - \beta u^{-}$$

Admet une solution non nulle dans $D(A)$

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## Références

[1] Kavian, régularité de la solution d'un problème aux limites non linéaire.

[2] C. Abchir, Existence and non-existence results of solutions of an equation with jumping nonlinearities.

[3] Otared Kavian - Introduction à la théorie des points critiques et applications aux problèmes elliptiques.

[4] Gallouet and O. Kavian, Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini, Annales Faculté Des Sciences Toulouse, Vol III (1981), 201-246.

[5] H. BREZIS, L. NIRENBERG "Characterizations of the ranges of some nonlinear operators & application to boundary value problems". Ann. Sc. Nor. Sup, Pisa, IV, vol. V, n°2 (1978), pp. 2252-326
<figure><img src="image_7.png" /></figure>

# Analysis and Numerical Approximation of a Frictional Contact Problem arising in Thermo viscoelasticity

## Communication Info

**Authors:**

Mohamed Essofi¹

Mustapha Bouallala²

Youssef Ouafik³

¹ Cadi Ayyad University,
Polydisciplinary faculty,
Modeling and Combinatorics
Laboratory, Department of
Mathematics and Computer
Science B.P. 4162, Safi, Morocco

² Cadi Ayyad University,
Polydisciplinary faculty,
Modeling and Combinatorics
Laboratory, Department of
Mathematics and Computer
Science B.P. 4162, Safi, Morocco

³ National School of Applied
Sciences of Safi, Cadi Ayyad
University, Safi, Morocco

**Keywords:**

(1) Thermo-viscoelastic

(2) Viscoelastic
constitutive law,

(3) Contact,

(4) Friction

(5) Numerical simulation

## Abstract

This research aims to investigate a quasistatic frictional contact problem involving a thermo-viscoelastic body and a thermally conductive foundation. The displacement behavior within the constitutive relation is modeled using a Kelvin-Voigt model, while the heat conduction aspect is characterized by a temperature-associated parameter. The contact condition is defined by an instantaneous normal response and a unilateral speed constraint, reminiscent of a form of Coulomb's law for dry friction. We propose a variational approach for this problem and establish the existence of its weak solution by employing a combination of techniques, including the theory of monotone operators and the Banach fixed-point theorem. To illustrate the effectiveness of our methodology, we conduct various numerical simulations to demonstrate the performance of the proposed approach.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] W. Han, and M. Sofonea, *Evolutionary Variational Inequalities Arising In Viscoelastic Contact Problems*, SIAM J. NUMER. ANAL. Vol. 38. No. 2, pp, 556-579

[2] M. Alaoui, E.-H. Essoufi and M. Bouallala, *Quasistatic thermo-electro-viscoelastic contact problem with Signorini and Tresca's friction*, Electronic Journal of Differential Equations Vol. 05, pp. 1-21, (2019)

[3] M. Barboteu, Y. Ouafik and M. Sofonea. Numerical modelling of a dynamic contact problem with normal damped response and unilateral constraint, Journal of Theoretical and Applied Mechanics, 56(2), 483-496, (2018)
<figure><img src="image_8.png" /></figure>

Generalising families of algebraic points of
quotients of Fermat curves $C_{r,r}(p)$

**Communication Info**

**Authors:**

Mohamadou Mor Diogou
DIALLO¹

Cherif Mamina COLY ²

¹ Department of Mathematics,
Assane Seck University of
Ziguinchor, Ziguinchor,
Senegal.

² Department of Mathematics,
Assane Seck University of
Ziguinchor, Ziguinchor,
Senegal.

**Keywords:**

(1) Mordell-Weill group

(2) Rational Points

(3) Jacobian

(4) Galois Conjugate

**Abstract**

We explicitly determine all possible obstructions for
algebraic points of arbitrary degree on the quotient
curves $C_{r,r}(p)$, defined by the affine equation

$$y^p = x^r(x - 1)^r.$$

These curves form special cases of a family of quotients
of the Fermat curve $C_{r,s}(p)$, given by the affine equation

$$y^p = x^r(x - 1)^s.$$

where $1 \le r, s, r + s \le p - 1$. This family itself
originates from quotients of the Fermat curve $F_n$,
defined by the affine equation

$$x^n + y^n + 1 = 0.$$

This note generalizes the results obtained by Gross and
Rohrlich, who determined the rational points, denoted
$C_{1,1}(11)^1(\mathbb{Q})$, on the curve $C_{1,1}(11)$ [12]. It also builds
upon the work of Coly and Sall, who identified the set
$C_{2,2}(11)^3(\mathbb{Q})$ of algebraic points of degree at most 3 on
the curve $C_{2,2}(11)$ [5], as well as that of Diallo, Baldé,
and Sall, who established the existence of points of
arbitrary degree, denoted $C_{3,3}(11)^\ell(\mathbb{Q})$, on the Fermat
quotient curve $C_{3,3}(11)$ [2]

© ICRAMCS 2025 Proceedings ISSN: 2605-7700
A study of some operators defined on Banach spaces

**Communication Info**

**Authors:**

Sanaa BOUMNIDEL

*Faculty polydisciplinary*
*of Larache*

**Keywords:**

(1) Banach spaces

(2) Linear operators

(3) Order vector

**Abstract**

Positive theory plays an important role in economics by providing a scientific approach to understanding economic behavior and developing economic models that can be used to make informed decisions. One of the most used operator in operator theory is the Dunford-Pettis operator, which is a linear operator on Banach spaces that satisfy a certain property, namely that they map weakly convergent sequences to norm convergent sequences.

Many new operators were defined on the basis of this famous operator in functional analysis field. We study the weak\* Dunford Pettis operator which is derived from the concept of Dunford Pettis and we conclude some new results.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] P. Meyer-Nieberg. Banach lattices. Universitext, Springer-Verlag, Berlin, 1991.

[2] A.C. Zaanen. Riesz Spaces II. North Holland Publishing Companyt, Amsterdam (1983)
# Advanced Modeling of Temporal Dynamics Using Time-Adaptive Linear Mixed Models

## Communication Info

**Authors:**

Dário FERREIRA¹

Sandra FERREIRA¹

¹ UBI, Covilhã, Portugal

**Keywords:**

(1) Time-Adaptive Models

(2) Temporal Data Analysis

(3) Dynamic Mixed Models

## Abstract

This work presents the Time-Adaptive Linear Mixed Model (TALMM), a novel methodology for the analysis of temporally evolving data. Traditional linear mixed models (LMMs) often assume static random effects, limiting their applicability in dynamic contexts where data structures shift over time. TALMM extends this framework by introducing time-adaptive random effects, offering a versatile tool for accurately modeling temporal variations. This innovation is particularly impactful in areas such as computational science, applied mathematics, and fields like finance, biology, and social sciences, where data patterns evolve in response to changing conditions. The study delves into the theoretical foundation of TALMM, discusses parameter estimation techniques, and provides a comprehensive case study to demonstrate its effectiveness. Results underline the model's ability to enhance predictive accuracy and offer deeper insights into complex temporal processes.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] P. Antunes, S.S. Ferreira, D. Ferreira, J.T. Mexia, Multiple additive models. Communications in Statistics - Theory and Methods, 50(19), 2021, 4649-4655.

[2] E. Demidenko, Mixed Models: Theory and Applications with R. Wiley, New York, 2013.

[3] D. Ferreira, S. Ferreira, C. Nunes, J.T. Mexia, Inference in nonorthogonal mixed models. Mathematical Methods in the Applied Sciences, 45(5), 2020, 3183-3196.
THE STRONGLY COHOPFIAN ABELIAN GROUPS IN THE
CATEGORY OF ALGEBRAICALLY COMPACT ABELIAN GROUPS

**Communication Info**

**Authors:**
Seddik ABDELALIM

FSAC University Hassan II
Casablanca Morocco

**Keywords:**
strongly co-Hopfian,
Abelian groups,
p-group,
torsion group,
pure-subgroup, algebraically
compact
basic subgroups,

**Abstract**

The abelian group $A$ is called Strongly CoHopfian if the chain $\mathrm{Im}(f) \subset \mathrm{Im}(f^2) \subset \mathrm{Im}(f^3) \subset \mathrm{Im}(f^4) \subset \dots$ $S$ is stationary for all endomorphisms of $A$.

In this paper, we characterize strongly CoHopfian abelian groups in the category of algebraically compact abelian groups, and we determine their properties in the category of abelian groups free torsion

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] S. Abdelalim and H. Essannouni, Characterization of the automorphisms having the lifting property in the Category of abelian Groups. International Journal Mathematics and Math Sciences 71, p 4511-4516 Hindawai Publishing USA. 2003

[2] P. Crawley, An Infinite Primary Abelian Groups Without Proper Isomorphic Subgroups. Bull. Amer. Math Soc.68 (1962) 462-467.

[3] L. Fuchs, Infinite Abelian Groups, vol. 1 Academic press New York, 1970.

[4] B. Goldsmith and K. Gong, A Note On Hopfian and Co-Hophian abelian group, Dublin Institute of Technology School of Mathematics 2012

[5] A. Haghany and M.R. Vedadi, Generalized Hopfian Mdules, Journal of Algebra (2002), p 324-341.

[6] A. Hmaimou, A. Kaidi, E.Sanchez Campos, Generalized Fitting modules and rings, Journal of Algebra 308, (2007) 199-244
<figure><img src="image_9.png" /></figure>

Simulation of a liquid chromatographic reactor using an isothermal
nonlinear equilibrium model for gradient elution considering Bi-
Langmuir adsorption

**Communication Info**

**Authors:**

Abdulaziz Garba AHMAD<fnref n="1" />
Haris Jaafar BELLO<fnref n="1" />
David Ugochukwu DAVID<fnref n="2" />

**Keywords:**

(1) Chromatographic reactor

(2) Bi-Langmuir isotherm

(3) Gradient elution

(4) One-dimensional

(5) High-resolution scheme

**Abstract**

This study presents the development of an isothermal nonlinear reactive equilibrium dispersive model (REDM) for liquid chromatography to examine the transport of a multi-component mixture through a single column under gradient elution, considering nonlinear adsorption thermodynamics. A generalized Bi-Langmuir adsorption equilibrium isotherm is used to analyze the model equations, with Danckwert boundary conditions applied. The resulting model comprises a set of convection-dominated partial differential equations for the mass concentrations in the liquid phase, coupled with differential and algebraic equations for the solid phase. A scheme of high-resolution finite volume method (HR-FVM) using an appropriate flux-limiter was employed to solve the model equations numerically. This suggested method deals with integral form of conservation laws, which avoids spurious oscillations, reduces numerical dissipation, and provides higher-order accuracy on the coarser grids. Further, the impact of modulator concentration is studied for a reversible reaction of type $A \overset{R}{\rightleftharpoons} B + C$. Furthermore, the effect of changing modulator concentration and model parameters on the separation of specific components is investigated. For instance, numerical simulations are used to assess the impacts of gradient start and end times, solvent composition, solvent strength parameters, axial dispersion coefficients, and the initial and final concentrations of the gradients. The proposed framework provides useful insights for optimizing gradient chromatography systems.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Takeuchi K, Miyauchi T, Uraguchi Y. Computaional studies of a chromatograhic moving-bed reactor for consecutive and reversible reactions. *J. Chem. Eng. Jpn.* **1978**, **11**, 216-220.

[2] Takeuchi K, Uraguchi Y. Separation conditions of the reactant and the product with a chromatographic moving bed reactor. *J. Chem. Eng. Jpn.* **1976**, **9**, 164-166.

[3] Guiochon, G.; Felinger, A.; Shirazi, D. G.; Katti, A. M. Fundamentals of Preparative and Nonlinear Chromatography, 2nd ed; Elsevier Academic Press: New York, **2006**.

[4] Sardin M, Schweich D, Villermaux J. Preparative fixed-bed chromatographic reactor. Preparative and production scale chromatography. *Marcel Dekker Inc., New York, USA.* **1993**, 477-521.

[5] Borren T, Fricke J, Schmidt-Traub H (Ed.). Chromatographic reactors in preparative chromatography of fine chemicals and pharmaceutical agents. *Wiley-VCHVerlag, Weinheim.* **2005**, 371-395.

<footnote n="1">¹ Federal University of
Technology, Babura, Nigeria</footnote>

<footnote n="2">² National Mathematical
Centre, Abuja, Nigeria</footnote>
<figure><img src="image_10.png" /></figure>

# Optimizing Control Strategies for Monkeypox
through Mathematical Modeling

## Communication Info

**Authors:**

Mohamed BAROUDI<fnref n="1" />

Imane SMOUNI<fnref n="1" />

Hicham GOURRAM <fnref n="1" />

Abderrahim LABZAI <fnref n="2" />

Mohamed BELAM <fnref n="1" />

**Keywords:**

(1) Monkeypox virus

(2) Control optimal

(3) Pontryagin's maximum principle.

## Abstract

Monkeypox is a zoonotic viral disease similar to smallpox, has emerged as a major global health concern following the COVID-19 pandemic. This study presents a novel mathematical model aimed at analyzing various epidemiological factors, particularly the less-explored transmission from humans to monkeys, where both species act as carriers. Our approach integrates comprehensive awareness campaigns, strict security measures, and targeted health interventions to limit transmission between hosts, with the goal of reducing human infections and eliminating the virus among animal populations. The model utilizes the continuous-time Pontryagin maximum principle to determine and apply optimal control strategies, with iterative simulations conducted in Matlab. Our results, derived from these simulations, show that implementing all proposed preventative strategies—such as public awareness efforts, isolation of infected monkeys, and vaccination—simultaneously is the most effective method to control the virus's spread. We observed a significant reduction in both human and animal infections when these strategies were combined. The study's conclusions provide important insights into the transmission dynamics of monkeypox, highlighting the critical role of multifaceted intervention strategies in controlling outbreaks. These findings are expected to support more effective public health management and contribute to the global effort to contain and ultimately eradicate monkeypox.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Abderrahim Labzai, Bouchaib Khajji, Omar Balatif, Mostafa Rachik. Discrete mathematical modeling of the propagation of religious ideas: Optimal control approach.

[2] Abderrahim Labzai, Omar Balatif, Mostafa Rachik. Optimal Control Strategy for a Discrete Time Smoking Model with Specific Saturated Incidence Rate.

[3] Omar Balatif, Abderrahim Labzai, Mostafa Rachik. A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party.

[4] Labzai, A., Kouidere, A., Khajji, B., Balatif, O., Rachik, M. Mathematical Modeling and Optimal Control Strategy for a Discrete Time Drug Consumption Model. Discrete Dynamics in Nature and Society this link is disabled, 2020, 2020, 5671493.

[5] El Mansouri, A., Labzai, A., Belam, M., Rachik, M. MATHEMATICAL MODELING AND OPTIMAL CONTROL STRATEGY FOR THE OBESITY EPIDEMIC. Communications in Mathematical Biology and Neuroscience, 2022, 2022, 20.

<footnote n="1">¹ Laboratory LMACS, Sultan Moulay Slimane University, MATIC Research Team: Applied Mathematics and Information and Communication Technologie, Department of Mathematics and Computer Science, Khouribga Polydisciplinary Faculty, Morocco.</footnote>

<footnote n="2">² Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University of Casablanca, Morocco.</footnote>
<figure><img src="image_11.png" /></figure>

# Boosting LCP Solver Performance with Accelerated Updates

## Communication Info

**Authors:**

Yamna ACHIK<fnref n="1" />
Noussaiba BABA<fnref n="1" />
Youssef EL FOUTAYENI <fnref n="2" />,<fnref n="3" />
Naceur ACHTIACH<fnref n="1" />

**Keywords:**

(1) Linear complementarity problems,

(2) singular value decomposition (SV D),

(3) iterative approach.

## Abstract

This paper introduces an efficient algorithm for solving linear complementarity problems (LCPs) [1,2], specifically targeting the LCP(M;q) [3,4] form, where M is a square matrix and q is a vector. The proposed method utilizes an iterative approach, systematically updating variables to achieve convergence to a solution that meets the required complementarity conditions. To optimize memory usage and computation time[5], the algorithm incorporates singular value decomposition (SVD), eliminating the need for computationally expensive matrix inversions and determinants. Experimental evaluations on benchmark problems showcase the algorithm's convergence properties and computational efficiency, highlighting its potential for practical applications. This work advances optimization methodologies by providing a robust and effective approach for solving complex LCPs across various fields. Continued development and application of this algorithm hold promise for enhancing computational efficiency and expanding the applicability of LCP

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] R.W. Cottle, Note on a fundamental theorem in quadratic programming. SIAM J. of Appl. Math. Vol. 12 (1964) P. 663-665.

[2] R.W. Cottle, J.S. Pang, R.E. Stone, The Linear Complementarity Problem, Academic Press, New York, 1992.

[3] Y. El foutayeni, H. El bouanani, M. Khaladi, The Linear Complementarity Problem and a Method to Find all its Solutions. Information in Sciences and Computing Volume 2014, Number 3, Article ID ISC370814, 05 pages.

[4] Y. El foutayeni, M. Khaladi, Using vector divisions in solving the linear complementarity problem. Journal of Computational and Applied Mathematics 236 (2012) 1919-1925.

[5] Y. Achik, A. Idmbarek, H. Nafia, I. Agmour, Y. El foutayeni, A fast Algorithm for Solving the Linear Complementarity Problem in a Finite Number of Steps, Abstract and Applied Analysis, 2020 (2020) 1-15.

<footnote n="1">¹ Hassan II University,
Casablanca, Morocco</footnote>

<footnote n="2">² Cadi Ayyad University,
Marekech, Morocco</footnote>

<footnote n="3">³ Unit for Mathematical and
Computer Modeling of Complex
Systems, IRD, France</footnote>
Polynômes orthogonaux pour un produit
scalaire de Sobolev

**Communication Info**

**Authors:**

Mohammed Karmouni<fnref n="1" />
Mohammed Tanjaoui<fnref n="2" />

**Keywords:**

(1) Polynômes orthogonaux ;

(2) Relation récurrente de
Polynômes orthogonaux ;

(3) Polynômes orthogonaux
de Sobolev.

**Abstract**

Une famille ($P_n$) de polynômes orthogonaux (P.O) est une **base orthogonale** associée à un produit scalaire défini sur $\mathbb{R}[X]$ vérifiant : $P_n$ est unitaire et $d^\circ P_n = n$. Une telle famille associée à un produit scalaire standard vérifie une propriété essentielle qui est la relation récurrente d'ordre 2 comme les polynômes de Tchebychev, polynômes de Legendre, polynômes de Hermite etc. Parce que le produit scalaire dans ce cas vérifie (voir [1]) la propriété suivante :

$$ \forall P, Q \in \mathbb{R}_n[X], \langle XP|Q \rangle = \langle P|XQ \rangle (*) $$

Par contre il y a un autre type de famille (P.O) associée à
un produit scalaire non standard qui ne vérifie pas cette
relation récurrente (voir par exemple [2] et [3]).

On se propose une nouvelle technique pour trouver une
relation récurrente d'ordre 2 pour une autre famille
(P.O) associée à un produit scalaire, non standard, de
type Sobolev.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Francisco Marcellan, Yuan Xu, Elsevier, On Sobolev orthogonal polynomials, 2015, page 2

[2] T. S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, New York, 1978.

[3] M. E. H. Ismail, Classical and Quantum Orthogonal Polynomials in One Variable, Encyclopedia of Mathematics and its Applications, 350 Volume 98, Cambridge University Press: Cambridge, UK, 2005.

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

<footnote n="2">² University Cadi Ayyad,
Marrakech, Morocco.</footnote>
ON HOLLOW-LIFTING SEMIMODULES

**Communication Info**

**Authors:**

MOUSSA SALL ¹

LANDING FALL ²

DJIBY SOW ³

¹ University Cheikh Anta Diop,
Senegal

² University Cheikh Anta Diop,
Senegal

³ University Cheikh Anta Diop,
Senegal.

**Keywords:**

(1) Subtractive
semimodule

(2) lifting semimodule,

(3) hollow-lifting
semimodule

**Abstract**

A left R-semimodule $M$ is called hollow if every proper
subsemimodule of $M$ is small in $M$.

A left R-semimodule $M$ is called lifting if every
subsemimodule of $M$ lies above a direct summand of
$M$ therefore **N. Orhan, D.Keskin and R. Tribak** introduce
the concept of hollow-lifting and hance:

a left R-semimodule $M$ is called hollow-lifting if for every
subsemimodule $N$ of $M$ with $M/N$ hollow lies above a
direct summand of $M$.

It is in wake that we will show when ever are the concepts
of lifting, hollow-lifting and hollow semimodule are
equivalent? How to characterize an hollow-lifting
semimodule? When is a direct summand of an hollow-
lifting semimodul is hollow lifting?

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] C.Lomp On Dual Goldie Dimension, Diplomarbeit(M.Sc.Thesis), Doesseldorf(1996)..

[2] D.Keskin, On Coclosed Submodules, Indian J.pure appl.Math, 36(2005), 135-144.

[3] J.Clark, C.Lomp, N.Vanaja, R.Wisbauer, Lifting modules, frontiers in Mathematics, Birkhaeuser Basel 2006.

[4] M.Sall, M.Barry, L.Fall On small subtrive and projective Semimodules over zero-sum semiring, JP Journal of Algebra, Number Theory and Application (ISSN: 0972-5555) volume 61. Num_ero 2, 2023', Pages 117-134.

[5] N. Orhan, D. keskin, On Hollow-LIFTING MODULES, TAWANESE JOURNAL OF MATHEMATICS, vol. 11, No 2 pp.545-568, June 2007.
<figure><img src="image_12.png" /></figure>

Algebraic points of degree *d* on some quotients of Fermat
curve of degree 11

Communication Info

Authors:

Moussa FALL¹

¹ Assane Seck University,
Ziguinchor, Senegal

Keywords:

(1) quotients of Fermat curve

(2) degree of algebraic point

(3) Morphism

Abstract

The aim of this work is to give a parameterization of the
set of algebraic points of degree *d* on a special family of
some quotients of Fermat curve of degree 11. The affine
equation of this family is $C_r : y^{11} = x^r(x-1)^r$ where
$r \in \{1, 2, 3, 4, 5\}$ and $d \in \{4, 5, 6\}$.

This work is made easy by the finiteness of the Mordell-
Weil group, which allows us to use the Abel Jacobi map
and the Riemann Roch spaces to determine the points
on the curve $C_1$. The use of birational equivalences
allows us to determine the points on $C_r$.

The results obtained extends the work of Coly and Sall
who determined the algebraic points of degree at most
3 on the curve $C_2$ [2]

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] Coly, C.M et Sall, O. Points algébriques de degrés au plus 3 sur la courbe $C_{2,2}(11)$ d'équation affine $y^{11} = x^r(x-1)^r$ Annales Mathématiques Africaines, Volume 8 (2020). pp. 47 – 52.

[2] Faddeev, D. *On the divisor class groups of some algebraic curves*. Dokl. Akad. Nauk SSSR136, 296–298. English translation: Soviet Math. Dokl. 2 (1) (1961), 67–69.

[3] Gross,B. and Rohrlich, D. *Some results on the Mordell-Weil group of the Jacobian of the Fermat curve*, Invent. Math. 44 (1978) 201-224.

[4] Sall, O. *Points algébriques sur certains quotients de courbes de Fermat*. C. R. Acad. Sci. Paris Ser I, 336 (2003), 117-120.
<figure><img src="image_13.png" /></figure>

A cubic B-spline quasi-interpolation approach for singularly perturbed
time-dependent parabolic convection-diffusion problems

**Communication Info**

**Authors:**

Mohamed Chaher¹

Abdellah Lamnii¹

Mohamed-Yassir Nour²

¹ University of Abdelmalek
Essaadi, laboratory ISI,
ENSATe, Tetouan, Morocco

² University Lorraine, CNRS,
Inria, LORIA, F-54000 Nancy,
France.

**Keywords:**

(1) Singularly Perturbed

(2) Boundary value problems

(3) Shishkin mesh

(4) Cubic B-spline

(5) Quasi- interpolation

**Abstract**

In this paper, we present an efficient numerical scheme for solving singularly perturbed time-dependent parabolic convection-diffusion problems based on cubic B-spline quasi-interpolation. The temporal variable is discretized on a uniform mesh using the Crank-Nicolson method, while the spatial variable is discretized using a cubic B-spline quasi-interpolation method defined on a piecewise uniform Shishkin mesh. The stability and convergence of the method are established. To demonstrate its efficacy, we compare our proposed approach with several benchmark problems from the existing literature.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] J. J. H. Miller, E. O'rordan, and G. I Shishkin, Fitted numerical methods for singular perturbation problems: error estimates in the maximum norm for linear problems in one and two dimensions. World scientific, (1996).

[2] Roos, Hans- Görg, Robust numerical methods for singularly perturbed differential equations. Springer, (2008).

[3] S. Bouhiri, A. Lamnii, M. Lamnii, Cubic quasi-interpolation spline collocation method for solving convection-diffusion equations. Mathematics and Computers in Simulation. 164 (2019), 33-45.

[4] A. Lamnii, M.Y. Nour, D. Sbibih, and A. Zidna, Generalized spline quasi-interpolants and applications to numerical analysis. Journal of Computational and Applied Mathematics. 408 (2022), pp. 114100.

[5] P. Sablonnière, univariate spline quasi-interpolants and applications to numerical analysis. Rend. Sem. Mat. Univ. Pol. Torino. (2005), 211-223.

[6] F. Foucher, P. Sablonnière, *Quadratic spline quasi-interpolants* and collocation *methods*. Math. *Comp. Simul*, 79 (2009), 3455-3465.

[7] MK. Kadalbajoo, A. Awasthi, A *numerical method based on Crank-Nicolson scheme* for *Burger's equation*. *Applied Mathematical Computer*. (2006), 1430-1442.
ON THE GRAPH CONVERGENCE OF SUBDIFFERENTIALS
OF PARACONVEX FUNCTIONS

**Communication Info**

**Authors:**

Abdessamad OUSSARHAN¹

¹ FPBM, USMS, Béni Mellal,
Morocco

**Keywords:**

(1) Paraconvexity

(2) Extended Brøndsted-Rockafellar's theorem

(3) Mosco-convergence

(4) Painlevé-Kuratowski
convergence

**Abstract**

In 1965, Brøndsted and Rockafellar [2] established that the domain of Fenchel subdifferential of a closed proper and convex function is dense in its domain. Our purpose in this talk (see [1]) is to show that the theorem is valid if instead, one considers functions more general than convex, these functions are called paraconvex (introduced in [4] by Rolewicz). As an application, we extend Attouch's Theorem as well as a result of Combari and Thibault [3] concerning the graph convergence of subdifferentials of a sequence of convex functions to the graph convergence of appropriate subdifferentials of a sequence of paraconvex functions in the setting of arbitrary Banach space.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Amahroq, T., Oussarhan, A. An extension of Brøndsted-Rockafellar's theorem with applications. J. Math. Anal. Appl. 531 (2024) 127810.

[2] Brøndsted A., Rockafellar R.T. On the subdifferentiability of convex functions, Proc. Am. Math. Soc. 16 (1965) 605-611.

[3] Combari, C., Thibault, L. On the graph convergence of subdifferentials of convex functions, Proc. Am. Math. Soc. 126 (8) (1998) 2231-2240.

[4] Rolewicz, S. On γ-paraconvex multifunctions, Math. Jpn. 24 (1979) 293-300.
<figure><img src="image_14.png" /></figure>

# Stochastic Gilpin-Ayala Model in Polluted Environment with Markovian switching

**Communication Info**

**Authors:**

Youssef EL KHALFI ¹
Adel SETTATI ¹
Aadil LAHROUZ ¹
Mourad EL IDRISSI ¹

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

**Keywords:**

(1) Stochastic model,

(2) Markovian Switching,

(3) Stability,

(4) Extinction,

(5) Persistence,

(6) Environment Polluted,

(7) Stationary distribution.

**Abstract**

This study examines the stochastic Gilpin-Ayala model in a polluted environment, incorporating Markovian switching and white noise. The Gilpin-Ayala parameter is permitted to vary according to the Markovian state. We begin by establishing the global stability of the trivial equilibrium state in the model. Sufficient and verifiable conditions are then derived to determine the population extinction and persistence criteria within this stochastic framework. Additionally, we demonstrate the existence of a stationary distribution under certain conditions. Finally, numerical simulations are presented to validate and illustrate the theoretical findings.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] M. Liu, K. Wang, Dynamics of non-autonomous stochastic Gilpin-Ayala model, Journal Of Applied Mathematics and Computing, vol. 43, 2013: 351-368.

[2] M.Liu and K.Wang, Survival analysis of stochastic single-species population models in Polluted environments, Ecological Modelling, vol. 220, 2009: 1347-1357.

[3] G. Settati and Lahrouz, On stochastic Gilpin-Ayala population model with Markovian Switching, Biosystems, vol. 130, 2015: 17-23.

[4] D. Li, The stationary distribution and ergodicity of a stochastic generalized logistic sys Tem, Stat. Proba. Lett, vol. 83, 2013: 580-583.

[5] L. Meng, K. Wang. Asymptotic properties and simulations of a stochastic logistic model Under regime switching, Mathematical and Computer Modelling, vol. 54, 2011: 2139-2154.
# Mathematical Modeling for Fisheries Management: The Sustainable Harvesting of Three Major Marine Species in Morocco

**Communication Info**

Authors:
Ilham AIT EL HARCH
Khalid OUTAAOUI
Youssef EL FOUTAYENI

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

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

3 École Nationale des Sciences Appliquées, Marrakech, Morocco

Keywords:

(1) Bioeconomic modeling

(2) Optimization Techniques

(3) Biological equilibrium

**Abstract**

This study aims to deepen the understanding and optimize fishing activity in Morocco by holistically integrating biological and economic aspects. On the biological front, we examine the rivalry between three marine species: Sardine, Mackerel, and Tuna, and the need to preserve the balance of their biomass. On the economic side, we focus on maximizing fishermen's profits.

We develop a biological equilibrium model for fishermen operating in the Atlantic region, where the three species coexist. These competing species exhibit their natural growth represented by logistic curves. We propose a mathematical model that takes into account the density and competition between species to explain population dynamics. Integrating human intervention adds a realistic dimension to our modeling. Fishermen specifically target all three species, thereby influencing population dynamics based on their fishing activities. This approach allows us to explore the effects of human-nature interaction on the biological equilibrium of sardine, mackerel, and tuna populations.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Éric Meuriot, Les Modèles Bioéconomiques d'Exploitation Des Pêcheries Démarches et Enseignements, Rapports économiques et juridiques del'IFREMER, 1987, 7-39.

[2] Johns Hopkins, The Economics of Fisheries Management, 1982, 214.

[3] Aliou Ba, Analyse microéconomique et modélisation bioéconomique de la pêcherie artisanale de sardinelles au Sénégal, 2018, 82-96.

[4] F.E. Bendahoui, N.Baba, Y. El Foutayeni, N.Achtaich, Impact of Pollution on Sardine, Sardinella, and Mackerel Fishery: a Bioeconomic Approach, 2023, 5-14.

[5] M.H. Lo, P.J. Galison, The effects of marine pollution on fishery dynamics and management: A bioeconomic model, Environmental and Resource Economics, 2005.
A coupled system of fractional history-dependent
hemivariational inequalities arising in contact
mechanics

**Communication Info**

**Authors :**

Abderrahmane OULTOU¹

Hicham BENAISSA 2

¹ Faculty Polydisciplinaire of
Khroubga, Khroubga, Morocco

² Faculty Polydisciplinaire of
Khroubga, Khroubga, Morocco

**Keywords:**

(1) Hemivariational
inequality

(2) History-dependent

(3) Rothe method

(4) Multivalued
surjectivity theorem

(5) Contact problem

**Abstract**

The current work is devoted to investigate a new class of
system consisting of fractional history-dependent hemi-
variational inequalities. By using the Rothe method (Semi-
discrete) and the theorem of the surjectivity for a
multivalued operator, the existence solution is established.
Moreover, we apply the obtained results to study a new
frictional contact problem between two viscoelastic bodies
with long memories.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Oultou, A., Baiz, O., and Benaissa, H. A doubly history-dependent quasi-variational inequality arising in viscoelastic frictional contact problems with wear. *Z Angew Math Mech.* (2024). [2] Authors, Title Journal, Volume, Year, Pages.

[3] Zeng, S. & Mig'orski, S. A class of time-fractional hemivariational inequalities with application to frictional contact problem. *Commun Nonlinear Sci Numer Simul.* 34–48 (2018).

[4] Hao, J., Wang, J. & Han, J. History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems. *Math Mech Solids.* **6**, 1032–1052 (2022).

[5] Oultou, A., Baiz, O., Benaissa, H.: Analysis of a system consisting of a fractional history-dependent hemivariational inequality and a nonlocal delay fractional differential equation. *Journal of Mathematical Sciences.* (1–20) (2024)
<figure><img src="image_15.png" /></figure>

# Stochastic analysis of epidemic model with relapse incorporating Ornstein-Uhlenbeck process

## Communication Info

**Author:**

Adil El Haitami¹

¹ Laboratory of mathematics and applications, FSTT, Abdelmalek Essaadi University, Tetouan, Morocco.

**Keywords:**

(1) Stochastic SIRI epidemic model

(2) Relapse

(3) Ornstein-Uhlenbeck process

## Abstract

The goal of this communication is to determine how a stochastic SIRI epidemic model with nonlinear relapse and a mean-reverting Ornstein-Uhlenbeck process reacts to stochastic perturbation. Initially, we establish the existence of a unique global solution that is achievable under all favorable initial conditions. Then, the new stochastic model threshold values, $R_β$ and $R_λ$, are formed. We establish sufficient conditions for the disease to persist and go extinct. In conclusion, we present some computer simulations that demonstrate the theoretical insights that we have obtained. The results of this study have the potential to enhance our comprehension of epidemic models and contribute to the development of viable strategies for the prevention and control of diseases.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Settati A., Lahrouz A., Assadouq A., et al., The impact of nonlinear relapse and reinfection to derive a stochastic threshold for SIRI epidemic model, Chaos, Solitons and Fractals 137, 2020, 109897.

[2] El Haitami A., Settati A., Lahrouz A., et al., A stochastic switched SIRI epidemic model integrating nonlinear relapse phenomena. Int. J. Dynam. Control, Volume 12, 2023, 1287-1301.

[3] Liu Q., Stationary distribution and probability density for a stochastic SISP respiratory disease model with Ornstein-Uhlenbeck process. Commun. Nonl. Sci. Numer. Simul., 119, 2023, 107128.

[4] Sanchez F., Wang X., Castillo-Chavez, et al., Drinking as an epidemic-a simple mathematical model with recovery and relapse. Therpist's guide to evidence-based relapse prevention, Elsevier 2007, 353-368.

[5] Shi Z., Jiang D., Dynamical behaviors of a stochastic HTLV-I infection model with general infection form and Ornstein-Uhlenbeck process, Chaos Solit. Fract., 165, 2022, 112789.
**Communication Info**

**Authors:**

Zahra El Majouti

Laboratory of Computer
Systems Engineering,
Mathematics and Applications
(ISIMA). Ibnou Zohr University,
Agadir B.P. 80000, Morocco

**Keywords:**

(1) Modified moving least squares approximation,

(2) moving least squares approximation,

(3) nonlinear Integral equations,

(4) error estimates.

**Abstract**

The three-dimensional (3D) modified moving least-square method is expanded for solving the numerical solution of 3D linear and nonlinear Volterra–Fredholm integral equations of the second kind. This approach is very convenient for solving integral equations in high dimensions and it does not require any need for mesh connectivity. The size of the support used is the only factor that has a significant effect on the maximum errors of the MLS method. To overcome this problem, the MMLS approach with a non-singular moment matrix is applied to obtain better results than MLS approximation on using the best support, then applying the method in three dimensions can be easily achieved. The numerical experiments of the MMLS and classical MLS techniques are presented to show the difference between both methods for multi-dimensional problems. The convergence analysis is provided and some numerical tests are given to prove the applicability of this technique.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] El Majouti, Z., El Jid, R., & Hajjaj, A. (2021). Numerical solution of two-dimensional Fredholm–Hammerstein integral equations on 2D irregular domains by using modified moving least-square method. *International Journal of Computer Mathematics*, 98(8), 1574-1593.

[3] El Majouti, Z., El Jid, R., & Hajjaj, A. (2022). Numerical solution for three-dimensional nonlinear mixed Volterra–Fredholm integral equations via modified moving least-square method. *International Journal of Computer Mathematics*, 99(9), 1849-1867.

[2] El Majouti, Z., Taghizadeh, E., & El Jid, R. (2023). A meshless method for the numerical solution of fractional stochastic integro-differential equations based on the moving least square approach. *International Journal of Applied and Computational Mathematics*, 9(3), 27.
<figure><img src="image_16.png" /></figure>

Three-Dimensional Asymptotic Analysis of a
Bingham type fluids with Tresca law and
Thermal Effects

Communication Info

Authors :

Rachid LMANGAD¹

Zakaria FAIZ²

Hicham BENAISSA ³

¹ Polydisplinary Faculty of
Khouribga, Khouribga, Morocco

² Polydisplinary Faculty of
Khouribga, Khouribga, Morocco

³ Polydisplinary Faculty of
Khouribga, Khouribga, Morocco

Keywords:

(1) Bingham type fluid

(2) variational
inequalities

(3) 3D-asymptotic
analysis

(4) thermal effects

(5) Tresca law

Abstract

We investigate the asymptotic analysis of a model for incompressible Bingham fluids with thermal effects in a three-dimensional thin domain Ω$^{\epsilon}$, where Tresca boundary conditions are imposed on part of the boundary, and Dirichlet conditions on another. The domain Ω$^{\epsilon}$ is perturbed by a small parameter $\epsilon > 0$. The main contribution is twofold: (1) we establish the weak variational formulation and prove the uniqueness of the problem's solution, and (2) we perform its asymptotic analysis as $\epsilon \to 0$, deriving and proving the existence and uniqueness of the solution to the limiting problem.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] S.Migorski, S.Dudek, *Well-posedness of steady-state Bingham type system by a quasi-variational- hemivariational approach*, Math. Modell: Prin. The. 786 (2023), 185.

[2] H.Xuan, X.Cheng, *Analysis of a system of hemivariational inequalities arising in a non-stationary Stokes equation with thermal effects*, East. Asian. J. Appl. Math. 14(1) (2024), 124–146.

[3] M. Boukrouche, *On a lubrication problem with Fourier and Tresca boundary conditions*, Math. Mod. Meth. Appl. Sci. 14(6) (2004), 913-941.

[4] S. Dudek, *Constrained Evolutionary Variational-Hemivariational Inequalities with Application to Fluid Flow Model*, Available at SSRN. 4491385.
<figure><img src="image_17.png" /></figure>

# Études numériques du comportement vibratoire de sols sous écoulement turbulent: Application à l'érosion interne de digues

## Communication Info

**Authors:**

Ikrame TERGUI<fnref n="1" />
Benaissa KISSI <fnref n="1" />
Hamza Khatib <fnref n="1" />
Hassan AAYA <fnref n="2" />

**Keywords:**

(1) Erosion interne

(2) HET

(3) vibro-acoustique

## Abstract

L'érosion interne, cause majeure de défaillance des ouvrages hydrauliques tels que les digues, se produit lorsque l'écoulement de l'eau transporte des particules de sol, compromettant ainsi leur stabilité [1]. L'essai d'érosion de trou (HET) est utilisé pour évaluer la résistance des sols à l'érosion sous des écoulements localisés[2].

Ce travail associe des analyses expérimentales réalisées à l'aide du HET à des simulations numériques sur Ansys Fluent, intégrant une approche diphasique basée sur les équations de Navier-Stokes et une loi d'érosion [3]. En outre, des capteurs vibro-acoustiques ont été utilisés pour identifier les vibrations acoustiques des écoulements turbulents, améliorant ainsi la détection et la quantification de l'érosion interne [4]. L'étude de l'impact des propriétés des sols sur l'érosion contribue à renforcer la sécurité des infrastructures hydrauliques et à affiner les modèles prédictifs [5].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Foster, Mark, Robin Fell, and Matt Spannagle. "The statistics of embankment dam failures and accidents." Canadian Geotechnical Journal 37.5 (2000): 1000-1024.

[2] WAN, Chi Fai et FELL, Robin. Investigation of rate of erosion of soils in embankment dams. Journal of geotechnical and geoenvironmental engineering, 2004, vol. 130, no 4, p. 373-380.

[3] Matsson, John E. An introduction to ansys fluent 2023. Sdc Publications, 2023.

[4] JEANNIOT, Charline. Études expérimentales et numériques du comportement vibroacoustique de sols sous écoulement turbulent dans le contexte de l'érosion interne de digues. 2020. Thèse de doctorat. AMU-Aix Marseille Université.

[5] Kissi, Benaissa, Larbi El Bakkali, and Miguel Ángel Parrón. Modélisation mathématique et numérique de l'érosion des sols. Éditions universitaires européennes, 2016.

<footnote n="1">¹ Laboratoire de l'Ingénierie des structures, procédés, systèmes intelligents et informatique - ENSAM université Hassan II, Casablanca, Maroc</footnote>

<footnote n="2">² Université Internationale de Casablanca, Maroc</footnote>
The Cracovian product with the right multiplication over the matrices

**Communication Info**

**Authors:**

Mehsin Jabel Atteya

Department of Mathematics,
College of Education,

Mustansiriyah University,
Falastin St., Baghdad, Iraq

E-mail:

mehsinatteya88@uomustansiriyah.

edu.iq

**Keywords:**

(1) Cracovian product

(2) multiplication of matrices,

(3) transpose of a matrix

**Abstract**

In this article, we study the behavior of the Cracovian product and the right multiplication on the square matrices. We push some results which involve them on the square matrices. Cayley's matrix multiplication is known as obtaining $c_{ik} = \sum_{j=1}^{n} a_{ij}b_{jk}$, which is formed by writing matrices $A = [a_{ij}]_{mn}$, $B = [b_{jk}]_{nr}$ as $AB = C = [c_{ik}]_{mr}$, respectively taking rows from matrix A and columns from matrix B. The result of this binary operation gives a single matrix. There is no commutative property for the left product. If commutative structures are to be obtained, the right product is needed. Let F be a field. The set of all $n$-by-$n$ matrices over a field (F) is denoted by $(K)_{n}(F)$. That means $(K)_{n}((F)) = [a_{ij}]_{n}|_{a_{ij} \in (F)}$. The set of all regular matrices order $n$ over a field $F$ is denoted by $M_{n}(F) = [a_{ij}]_{n}|_{a_{ij} \in F}$. The transpose of a matrix $A \in (K)_{n}((F))$ is denoted by $A^{T}$. The product of the reciprocal columns of two matrices with the same columns is defined as the Cracovian product. If A, B are any two square matrices of order $n$ then the Cracovian product is $A \wedge B = B^{T}A$, where $B^{T}$ is transpose of matrix B in [4]. Also, $A = [a_{ij}]_{rm}, B = [b_{jk}]_{nr}$ the matrix $C = \sum_{i=1}^{r} b_{ki}a_{ji} {}_{nm}$ is called the right product of the matrices A and B. It is denoted by $A \triangleleft B \triangleleft C = [c_{ki}]_{nm}$. For more information read (1, 2, 3 and 5).

**References**

[1] E.T. Bell, The Development of Mathematics, Second Edition, McGraw Hill Book Company Inc. Press, New York, (1945).

[2] G. Zehfuss, Ueber eine gewisse Determinante, Zeitschrift für Mathematik und Physik J. 3 (1858), 298–301.

[3] H. Kele$s$, Poloid and Matrices, The Aligarh Bulletin of Mathematics J. 40(1) (2022), 41–52.

[4] J. Kociński, Cracovian Algebra, Nova Science Publishers Inc. Press, New York, (2004).

[5] T. Banachiewicz, Vistas in Astronomy, A Journey through the History of Numerical Linear Algebra J. 1 (1955), 200–206.
Unconditionally Converging
Operators

**Communication Info**

**Authors:**
Abderrahman RETBI¹
¹Polydisciplinary Faculty,
Sultan Moulay Slimane
university, Beni Mellal,
Morocco

**Keywords:**
(1) V-sets
(2) Relatively compact
Dunford-Pettis property
(3) Unconditionally
converging
operators

**Abstract**

We study the notion of V-sets in Banach spaces and Banach lattices, and we give some characterizations of it in terms of sequences. As an application, we establish new properties of unconditionally converging operators and 1-Schur property in Banach lattices. Next, by introducing the concept of the property (VLD) in Banach spaces, we investigate the Dunford-Pettis completely continuous property of unconditionally converging operator. Finally, we derive the relationships between the property (VLD) and the relatively compact Dunford-Pettis property (resp., the Pelczynski's property (V)), and we deduce some examples of Banach spaces with the property (VLD).

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] C.D. Aliprantis, O. Burkinshaw, Positive operators, Reprint of the 1985 original. Springer, Dordrecht, 2006.

[2] M. B. Dehghani, S. M. Moshtaghioun, On the p-Schur property of Banach spaces, Ann. Funct. Anal. 9 (2018), 123-136.

[3] K. El Fahri, N. Machrafi and M. Moussa, Banach lattices with the positive Dunford-Pettis relatively compact property, extracta mathematicae. Vol. 30, Num. 2 (2015), 161-179.

[4] A. Retbi, A note on L-Dunford-Pettis sets in a topological dual Banach space, Czechoslovak Mathematical Journal. (2020), 11 pages.

[5] A. Retbi, *V-Sets and the property (V LD) in Banach spaces*, Methods of Functional Analysis and Topology. Vol. 27 (2021), no 3, pp 277-286.

[6] P. Saab, B. Smith, Spaces on which every unconditionally converging operators are weakly completely continuous, Rocky Mount J Math. 22(3) (1992), 1001-1009.
Reducing Secret Key Size in HAWK via Algebraic
Techniques

**Communication Info**

**Authors:**

Nour-eddine RAHMANI¹

Taoufik SERRAJ¹

¹ Faculty of Sciences,
Mohammed I University, Oujda,
Morocco

**Keywords:**

(1) LIP

(2) Lattices

(3) Cryptography

(4) Security

(5) Digital Signatures

**Abstract**

The HAWK [1] signature scheme, based on the hardness of the Module Lattice Isomorphism Problem (module-LIP) [2,3,4], provides a fast and efficient framework for post-quantum cryptography. This study introduces a novel approach to optimizing HAWK's design using algebraic relations derived from linear algebra. We show that a third less of the secret key size can be cut without compromising security. An algebraic relation allows for this reduction, which enhances storage and computational effectiveness. The suggested approach not only maintains robust cryptographic guarantees but also makes HAWK more applicable in settings with limited resources. These findings demonstrate how algebraic methods can simplify algorithms for lattice-based cryptography.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Ducas, L.; Postlethwaite, E.W.; Pulles, L.N.; Woerden, W.v. Hawk: Module LIP makes lattice signatures fast, compact and simple. In Proceedings of the International Conference on the Theory and Application of Cryptology and Information Security, Taipei, Taiwan, 5–9 December 2022; Springer: Berlin/Heidelberg, Germany, 2022; pp. 65–94.

[2] MUREAU, Guilhem, PELLET-MARY, Alice, PLIATSOK, Georgii, et al. Cryptanalysis of rank-2 module-lip in totally real number fields. In: *Annual International Conference on the Theory and Applications of Cryptographic Techniques*. Cham: Springer Nature Switzerland, 2024. p. 226-255.

[3] Huang, T. P., Postlethwaite, E. W., Prest, T., Pulles, L. N., & van Woerden, W. https://hawk-sign.info.

[4] DUCAS, Léo et VAN WOERDEN, Wessel. On the lattice isomorphism problem, quadratic forms, remarkable lattices, and cryptography. In: *Annual International Conference on the Theory and Applications of Cryptographic Techniques*. Cham: Springer International Publishing, 2022. p. 643-673.
Deep learning and optimal control techniques for
fractional derivative models in epidemiology

**Communication Info**

**Authors:**

Hassan AGHDAOUI¹

Mouhcine TILIOUA ¹

¹ MAIS Laboratory, MAMCS
Group, FST Errachidia, Moulay
Ismail University of Meknes,
P.O. Box 509, Errachidia
52000, Morocco.

**Keywords:**

(1) Deep learning

(2) fPINNs

(3) Epidemic models

**Abstract**

The main goal of this work is to address
fractional forward and inverse problems using
a deep learning method. A fractional Physics-
Informed Neural Network (fPINN) is proposed
to solve Fractional Differential Equations (FDE).
The model minimizes the combined mean-
squared residuals of FDE and the mean-squared
errors in the initial and boundary conditions to
fit the observed data. This study presents a
novel method for estimating fractional-order
derivatives within a mathematical epidemic
model that includes fractional boundary
conditions, utilizing real-world data for both
training and validation.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] AGHDAOUI Hassan, et al. On analysis and optimal control of a SEIRI epidemic model with general incidence rate. *Results in Physics*, 2021, vol. 20, p. 103681.

[2] AGHDAOUI Hassan, et al. A fractional epidemic model with Mittag-Leffler kernel for COVID-19. Mathematical biology and bioinformatics, 2021, vol. 16, no 1, p. 39-56.

[3] AGHDAOUI Hassan, et al. Exploring COVID-19 model with general fractional derivatives: novel physics-informed-neural-networks approach for dynamics and order estimation. *J. Math. Computer Sci*, 2025, vol. 36, p. 142-162.
# Identification of Involutory MDS Matrices Through Evolutionary Algorithms

**Communication Info**

**Authors:**
El Mehdi BELLFKIH<fnref n="1" />
Imrane Chemseddine Idrissi²

**Keywords:**
(1) Evolutionary algorithms,
(2) Involutory MDS matrices,
(3) MDS Self-dual codes.

**Abstract**

This paper presents a novel methodology for identifying involutory maximum distance separable (MDS) matrices over finite fields $F_{2^q}$, derived from MDS self-dual codes, through the use of evolutionary algorithms. Involutory MDS matrices are particularly valuable in various applications, including coding theory [1-2], due to their unique properties. Our approach utilizes evolutionary algorithms to efficiently explore the search space for involutory MDS matrices, ensuring both self-duality and optimal codeword distance maximization. By leveraging the optimization potential of evolutionary algorithms [3-5], the method automates the discovery process for these matrices. Extensive experiments demonstrate the effectiveness of the proposed approach and provide new insights into the structure of automorphism groups in MDS self-dual codes. These results have practical implications and contribute to the advancement of research in coding theory.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Corbella, I.M., & Pellikaan, R. (2015). A characterization of MDS codes that have an error correcting pair. *ArXiv, abs/1508.02187*.

[2] Huffman W. C., & Pless, V. (2010). Fundamentals of Error-Correcting Codes, Cambridge university press.

[3] Bellfkih, E.M., Nouh, S., Idrissi, I.C., Ettaoufik, A., Louartiti, K., & Mouline, J. (2022). On the computation of the automorphisms group of low density parity check codes using genetic algorithm. *Indonesian Journal of Electrical Engineering and Computer Science*.

[4] Bellfkih, E.M., Nouh, S., Idrissi, I.C., Louartiti, K., & Mouline, J. (2022). On the Computation of the Automorphisms Group of Some Optimal Codes Using Genetic Algorithm. *Journal of Hunan University Natural Sciences*.

[5] Nouh, S., Chana, I., & Belkasmi, M. (2013). Decoding of Block Codes by using Genetic Algorithms and Permutations Set. *Int. J. Commun. Networks Inf. Secur.*, 5.

<footnote n="1">¹ Faculty of science Ben M'sick, Casablanca, Morocco</footnote>
Existence results for the 2d-elastic isotropic
frictional contact problem

**Communication Info**

**Authors:**

Ayoub, BOUKHIRA¹

Hicham BENAISSA 2

¹ Polydisciplinary Faculty of
Khouribga, Sultan Moulay
Slimane University, Morocco

² Polydisciplinary Faculty of
Khouribga, Sultan Moulay
Slimane University, Morocco

**Keywords:**

(1) Isotropic

(2) Pseudomonotone

(3) Friction

(4) Elasticity

**Abstract**

In this article, we will study a bidimensional quasi-static contact problem, involving isotropic and linear elastic materials and frictional effects [1]. For this model, existence results are established by reformulating the problem as a variational inequality, involving a nonlinear operator that accounts for both elasticity and friction.

Our approach is based on a result by Brézis [2], which identifies a new class of operators, called pseudomonotone, for which the variational inequality can be solved. The class of pseudomonotone operators includes a more specific subclass known as Leray-Lions operators [3]. Defining the Leray-Lions operator requires proving a new property of the operator, which hold only for two-dimensional problems. We will first demonstrate this refined property in the particular case of a half-space [4], before extending it to more general geometries, namely bounded bodies [5].

**References**

[1] L.E. Andersson (2000), Existence results for quasistatic contact problems with Coulomb friction. Applied Mathematics & Optimization, 42, pp 169–202.

[2] H. Brézis (1968), Équations et inéquations non linéaires dans les espaces vectoriels en dualité. Annales de l'Institut Fourier 18, (1), pp 115–175.

[3] J. Leray & J.L. Lions (1965), Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder. Bulletin de la Société Mathématique de France 93, pp 97–107.

[4] P. Ballard, J. Jarušek (2011), Indentation of an elastic half-space by a rigid flat punch as a model problem for analysing contact problems with Coulomb friction. Journal of Elasticity 103, pp 15–52.

[5] J. Jarušek (1983), Contact problems with bounded friction. Coercive case. Czechoslovak Mathematical Journal 33, pp 237–261.
Zero-Divisors in Commutative Rings: A Graph-
Theoretic Perspective

**Communication Info**

**Authors:**

Assila Khaireddin
Khalid Louartiti

Laboratory: Mathematics,
Computer Science, and Decision
Making (MCSDM)
National School of Applied
Sciences of Tetouan (ENSATe)
Abdelmalek Essaadi University,
Morocco

**Keywords:**

(1) Zero-Divisors

(2) Commutative Rings

(3) Graph-Theoretic

**Abstract**

Zero-divisors play a critical role in understanding the structure and behavior of commutative rings. A zero-divisor in a commutative ring $R$ is defined as a non-zero element such that there exists $b \neq 0$ satisfying $ab=0$. These elements provide insights into the properties of ideals, factorization, and modular arithmetic, making them essential in studying polynomial and matrix rings.

This research employs a graph-theoretic framework to explore zero-divisors through the construction of zero-divisor graphs, where vertices represent elements of a ring and edges denote zero-product relationships. These graphs offer a unique perspective, enabling the analysis of structural properties such as connectivity, chromatic numbers, cliques, and girth. The study further extends to zero-divisors in Noetherian and Artinian rings, highlighting their relevance in algebraic geometry, cryptography, and network optimization.

By bridging classical theories with modern advancements, this work addresses open problems and proposes innovative methodologies for investigating zero-divisors. The findings provide a comprehensive framework for advancing research in commutative algebra and its applications to graph theory.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

1. J. Coykendall, S. Sather-Wagstaff, L. Sheppardson, and S. Spiroff, "On Zero Divisor Graphs," Progress in Commutative Algebra 2, De Gruyter, 2012, pp. 241–299.

2. D. F. Anderson and P. S. Livingston, "The Zero-Divisor Graph of a Commutative Ring," Journal of Algebra, Vol. 217, No. 2, 1999, pp. 434–447.

3. I. Beck, "Coloring of Commutative Rings," Journal of Algebra, Vol. 116, No. 1, 1988, pp. 208–226.
<figure><img src="image_18.png" /></figure>

Anti-synchronization of quaternion-valued neural networks with inertial term and proportional delay via a direct technique

Communication Info

Authors:

El Abed Assali¹,²

¹ University of Carthage,
Faculty of Sciences of Bizerte,
Department of Mathematics,
Research Laboratory GAMA
LR21ES10, 7021 Zarzouna,
Bizerta, Tunisia.

² University of Jendouba,
Higher School of Engineering of
Medjez el Bab (ESIM), Route du
Kef Km 5, Medjez el Bab,
Tunisia

Keywords:

(1) Quaternion-valued neural networks

(2) Anti-synchronization

(3) Control

Abstract

This paper introduces inertial quaternion-valued neural
networks with proportional delays, defined as[1]

$$
\ddot{x}_i(t) + a_i \dot{x}_i(t) = -d_i x_i(t) + \sum_{j=1}^{n} b_{ij} f_j(x_j(t)) + \sum_{j=1}^{n} d_{ij}^q g_j(x_j(q_j t)) + \bar{l}_i, \quad (1)
$$

The study first focuses on analyzing the anti-
synchronization of the proposed model by developing a
novel Lyapunov functional with adjustable parameters.
Several criteria are established to guarantee the anti-
synchronization of quaternion-valued neural networks
incorporating proportional delays and inertial terms.
Traditionally, most results in this area rely on the
variable substitution method, which simplifies the
original second-order system into a first-order system
[2,3]. On the other hand, the authors use an approach
based on decomposing quaternion-valued neural
networks into four equivalent real-valued networks,
which adds complexity to the process [4]. In contrast,
this paper adopts a non-separation and non-reduction
order approach to system (1). Finally, a numerical
example is given to validate the theoretical results.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] Assali, E. A. (2024). Direct approach on projective synchronization of inertial quaternion-valued neural networks with proportional delays. *Computational and Applied Mathematics*, 43(8), 1-18.

[2] Lakshmanan, S., Prakash, M., Lim, C. P., Rakkiyappan, R., Balasubramaniam, P., & Nahavandi, S. (2016). Synchronization of an inertial neural network with time-varying delays and its application to secure communication. *IEEE transactions on neural networks and learning systems*, 29(1), 195-207. [3] Authors, Title Journal, Volume, Year, Pages.

[3] Alimi, A. M., Aouiti, C., & Assali, E. A. (2019). Finite-time and fixed-time synchronization of a class of inertial neural networks with multi-proportional delays and its application to secure communication. *Neurocomputing*, 332, 29-43.

[4] Singh, S., Kumar, U., Das, S., Alsaadi, F., & Cao, J. (2022). Synchronization of quaternion valued neural networks with mixed time delays using Lyapunov function method. *Neural Processing Letters*, 54(2), 785-801.
# Étude de l'effet des perturbations par sauts sur la dynamique stochastique des modèles SIRS.

## Communication Info

### Authors :

Khalid EL BAKKIOUI¹
Adel SETTATI¹

¹ Université Abdelmalek Essaâdi, Tangier, Morocco

### Keywords :

(1) Modèle stochastique SIRS

(2) Sauts de Lévy

(3) Persistance

(4) Extinction

(5) Fonction de Lyapunov

(6) Seuil

## Abstract

Cette étude propose un cadre stochastique complet pour examiner l'impact des perturbations de Lévy sur la dynamique du modèle SIRS (Susceptible-Infected-Rétabli-Susceptible). Dans un premier temps, L'existence et l'unicité de la solution sont rigoureusement établies, offrant ainsi une base théorique solide pour des analyses ultérieures.

Les conditions critiques nécessaires à la persistance de la maladie sont dérivées, constituant des outils essentiels pour évaluer l'applicabilité du modèle dans des contextes épidémiologiques pratiques. De plus, les critères spécifiques permettant l'extinction de la maladie sont identifiés. Pour appuyer les résultats théoriques, des simulations numériques détaillées sont effectuées afin de valider le cadre proposé.

©ICRAMCS 2025 Proceedings ISSN : 2605-7700

## References

[1] D. Applebaum and M. Siakalli, Asymptotic stability of stochastic differential equations driven by Lévy noise, Journal of Applied Probability, 46, 4, (2009), 1116-1129.

[2] S. Boutouil, B. Harchaoui, A. Settati, A. Lahrouz, A. Nait, M. El Jarroudi, M. Erriani, Analyzing Stochastic SIRS Dynamics Under Jump Perturbation, International Journal of Applied and Computational Mathematics, 10, 1, (2024), 1-20.

[3] Q. Lu, Stability of the SIRS system with random perturbations, Physica A, 388, 19, (2009), 3677-3686.

[4] A. Settati, A. Lahrouz, M. Zahri, A. Tridane, M. El Fatini, H. El Mahjour, M. Seaid, A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate, Chaos, Solitons & Fractals, 144, (2021), 110690.

[5] T. Caraballo, A. Settati, M. E. Fatini et al., Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation, Physica A, 523, (2019), 677-690.

[6] P. E. Kloeden, E. Platen, Stochastic Differential Equations, Springer Berlin Heidelberg, 23, (1992), 103-160.

[7] R. Lipster, A Strong Law of Large Numbers for Focal Martingales, Stochastics, Springer Berlin Heidelberg, 3, (1980), 217-228.
Fractional analysis of nonlinear dynamics in Korteweg-de VriesBurgers' and modified Korteweg-de Vries Equations

**Communication Info**

**Authors:**

Musawa ALMUSAWA
Hassan ALMUSAWA

Department of Mathematics,
Jazan University, Jazan, Saudi
Arabia

**Keywords:**

(1) KdV Burgers' and mKdV equations

(2) Iterative transform method (ITM)

(3) Residual power series transform method (RPSTM)

(4) Caputo operator

**Abstract**

This paper investigates the fractional-order KdV Burgers' and modified KdV (mKdV) equations using two advanced mathematical techniques: the iterative transform method (ITM) and the residual power series transform method (RPSTM). These methods are employed to solve nonlinear fractional-order differential equations, with the Caputo operator providing the framework for fractional differentiation. The study highlights the effectiveness of ITM and RPSTM in obtaining approximate analytical solutions for these complex equations, which play a significant role in modeling wave propagation, fluid dynamics, and nonlinear systems. The proposed methods demonstrate robust convergence, accuracy, and computational efficiency in addressing the complexities of fractional-order systems. Through numerical examples and graphical representations, the paper provides insight into the behavior of solutions for different fractional orders, offering valuable contributions to the fields of mathematical physics and applied mathematics

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Podlubny, I., 1999. Fractional differential equations, mathematics in science and engineering

[2] Oldham, K.B., 1974. The Fractional Calculus: Theory and Applications of Differentiation and Integration of Arbitrary Order. Academic Press.

[3] Miller, K.S., 1993. An Introduction to the Fractional Calculus and Fractional Differential Equations.

[4] Diethelm, K. and Ford, N.J., 2002. Analysis of fractional differential equations. Journal of Mathematical Analysis and Applications, 265(2), pp.229-248

[5] Samko, S.G., 1993. AA Kilbas and 0.1. Marichev. Fractional integrals and derivatives: Theory and applications

[6] West, B.J., Bologna, M. and Grigolini, P., 2003. Physics of fractal operators (Vol. 35). New York: Springer.

[7] Ghazanfari, B. and Ghazanfari, A., 2012. Solving fractional nonlinear Schrodinger equations by fractional complex transform method.
# Design of a EWMA Control Chart by adaptation of Smoothing Constant based on a Function of estimated shift

## Communication Info

**Authors:**
Abdullah AHMADINI

Department of Mathematics,
Jazan University, Jazan, Saudi
Arabia

**Keywords:**

(1) statistical process control

(2) control chart

(3) average run length

(4) adaptive control chart

## Abstract

This study introduces a novel Adaptive EWMA (AEWMA) control chart designed to monitor the mean of a normally distributed process with enhanced responsiveness. The proposed methodology dynamically adjusts the smoothing constant based on a proposed continuous function of the estimated mean shift derived from the EWMA statistic. The Monte Carlo simulations are conducted to assess the performance of the AEWMA chart across various magnitudes of process mean shifts, using run-length profiles as the primary evaluation metric. The results indicate that the AEWMA chart outperforms traditional methods in terms of detection efficiency. To demonstrate its practical applicability, the AEWMA chart is applied to a realworld manufacturing dataset specifically analyzing the flow width resistance of substrates. The findings highlight the efficiency of the proposed chart, making it a valuable tool for improving process monitoring and quality control in industrial environments.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

## References

[1] Shewhart, W. A. (1925). The application of statistics as an aid in maintaining quality of a manufactured product. Journal of the American Statistical Association, 20(152), 546-548. 1.

[2] Jensen, W. A., Bryce, G. R., & Reynolds Jr, M. R. (2008). Design issues for adaptive control charts. Quality and Reliability Engineering International, 24(4), 429-445. 2.

[3] Page, E. S. Continuous inspection schemes. Biometrika. 1954;41(1/2): 100-115. 1.

[4] Roberts, S. Control chart tests based on geometric moving averages. Technometrics. 1959;42(1): 97-101. 2.

[5] Lucas, J. M., & Saccucci, M. S. (1990). Exponentially weighted moving average control schemes: properties and enhancements. Technometrics, 32(1), 1-12.
A new domain decomposition strategy based on
the hybrid FE-MESHLESS

**Communication Info**

**Authors:** Saad Hassouna1, Ramadane Abderrazak2, Abdelaziz Timesli1*, Azouani Abderahim3
1Hassan II University of Casablanca, National Higher School of Arts and Crafts (ENSAM CASABLANCA), LISIME Laboratory, 2International University of Casablanca, Laboratory « Mathématiques et Sciences de l'ingénieur », 3Sultan Moulay Slimane University, National School of Applied Sciences of Khouribga, LIPIM Laboratory, Keywords: domain decomposition method, schur complement, meshless method, finite Element Method, parallel computing.

**Abstract**

A new strategy for improving the convergence and efficiency of the class of domain decomposition known as interface variable related Schur complement techniques for simulating mechanical, electrical and thermal problems in the presence of crosspoints is examined in this work. To be more precise, we're not just interested in domain decomposition into two parts with the same physical properties, but rather in more general splitting components. In the first case, we obtain optimal convergence with a good preconditioner in two iterations, while the problem remains difficult in the second case. The primary objective is therefore to fill in some of the gaps in these problem domain decomposition techniques and to contribute to the solution of extremely difficult large-scale industrial problems. A parallel sparse direct solver of the multi-core environment of the whole system is used and each part of the system is handled independently of the change of the mesh or the shifting of the mathematical method of resolution.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Kim, S., Zhang, H. (2021), "Convergence analysis of the continuous and discrete non-overlapping double sweep domain decomposition method based on PMLs for the Helmholtz equation", J. Sci. Comput., 89, 37.

[2]Kalantzis, V. (2020), "A spectral newton-schur algorithm for the solution of symmetric generalized eigenvalue problems", Electron. Trans. Numer. Anal., 52, 132-153.

[3] Marceau, D., Fafard, M. and Bastien, J. (2003), "Constitutive law for wedge tendon gripping interface in anchorage device-numerical modeling and parameters identification", Struct. Eng. Mech., 15(6), 609-628.

[4] Quarteroni, A. and Valli, A. (1999), "Domain decomposition methods for partial differential equation", Clarendon Press, Oxford

[5] Saad, Y. (2003), "Iterative Methods for Sparse Linear Systems", 2nd Edition, SIAM, Philadelphia, PA
<figure><img src="image_19.png" /></figure>

# Geometric Analysis of Black Hole Shadows in Einstein-Maxwell-Dilaton Theory

**Communication Info**

**Authors:**

Hajar BELMAHI¹

¹ Mohammed V University in
Rabat, Rabat, Morocco

**Keywords:**

(1) AdS black holes

(2) Newman-Janis formalism

(3) Hamilton-Jacobi
formalism

**Abstract**

Motivated by string theory, we explore the geometric
properties of shadows cast by AdS black holes within the
Einstein-Maxwell-Dilaton (EMD) framework. For static,
spherically symmetric black holes, the shadow's boundary is
circular, with its size determined by key physical parameters
such as the black hole's charge and the cosmological constant.
These properties are derived through analytical computations
of photon trajectories in the corresponding spacetime
geometry. For rotating black holes, we extend the analysis by
employing the Newman-Janis algorithm and utilizing the
Hamilton-Jacobi method to separate variables. This approach
enables us to examine the deformation of the shadow caused
by the black hole's angular momentum, revealing the intricate
interplay between rotation and the shadow's size and shape.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] N. Askour, A. Belhaj, H. Belmahi, M. Benali, H. El Moumni and Y. Sekhmani, Deflection angle and light ray trajectories near M-theory black holes, IJGMMP, 191 (2023).

[2] A. Belhaj, H. Belmahi, M. Benali, W. El Hadri, H. El Moumni and E. Torrente-Lujan, Shadows of 5D black holes from string theory, Phys. Lett. B 812 136025, (2021).

[3] A. Belhaj, H. Belmahi and M. Benali, Superentropic AdS black hole shadows, Phys. Lett. B 821, 136619 (2021).
Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces

**Communication Info**

**Authors:**

Fatima OUIDIRNE

FST of Sultan Moulay Slimane
University, Laboratory LMACS,
Beni-Mellal, Morocco.

**Keywords:**

(1) Active scalar equations;

(2) global well-posedness

(3) asymptotic
behavior

**Abstract**

We study a family of dissipative active scalar equations with velocity fields coupled through higher-order multiplier operators. Focusing on sub-critical values for fractional diffusion, we establish global well-posedness for solutions with small initial data in a framework based on Fourier transforms, specifically Fourier-Besov-Morrey spaces. The smallness condition is tied to the weak norm of this space, allowing for initial data with large $L^1$-norms to be considered. We derive self-similar solutions depending on the homogeneity of the initial data and couplings and demonstrate that the solutions become asymptotically self-similar at large times. Our unified approach applies to various active scalar PDEs, including 1D models of dislocation dynamics in crystals, Burgers' equation, the 2D vorticity equation, $\text{S}^{2\text{D}}$ generalized SQG, and $\text{S}^{3\text{D}}$ magneto-geostrophic equations.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] J. Deslippe, R. Tedstrom, M. Daw, D. Chrzan, T. Neeraj, M. Mills, Dynamics scaling in a simple one-dimensional model of dislocation activity, Phil. Mag. 84, (2004) 2445-2454.

[2] H. Dong, D. Du, Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space, Discrete Contin. Dyn. Syst. 21 (4) (2008), 1095-1101.

[3] L.C.F. Ferreira, L.S.M. Lima, Global well-posedness and symmetries for dissipative active scalar equations with higher-order couplings, arXiv:1305.2987.

[3] H. Dong, D. Du, D. Li, Finite time singularities and global well-posedness for fractal Burgers equations, Indiana Univ. Math. J. 58 (2) (2009), 807-821. [5] Authors, Title Journal, Volume, Year,
Contrôle optimal dans un modèle mathématique
de tricherie aux examens de certification

**Communication Info**

**Authors:**

Abdelbar EL MANSOURI¹
Mohamed BELAM¹
Abderrahim LABZAI²

¹ Laboratory of Advanced Research in Industrial and Logistic Engineering, National High School for Electricity and mechanics, Casablanca, Hassan II University of Casablanca, Morocco.

² Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Science, Faculty of Sciences Ben M'sik, Hassan II University of Casablanca, Morocco.

**Keywords:**

(1) Tricherie scolaire

(2) Contrôle optimal

(3) Principe de Pontryagin

**Abstract**

Des chercheurs issus de divers domaines s'inquiètent de l'augmentation alarmante de la tricherie scolaire parmi les élèves et les étudiants [1], un phénomène ayant un impact négatif sur la qualité de l'éducation et de la formation [2]. En effet, la tricherie est passée d'un acte inacceptable à un « droit légitime » pour un nombre croissant d'étudiants [3]. Dans ce contexte, nous proposons un modèle mathématique visant à comprendre les mécanismes de propagation de ce phénomène, notamment lors des examens de certification. Nous examinons également l'efficacité de diverses solutions proposées pour lutter contre cette problématique. Notre approche repose sur le Principe de Maximum de Pontryagin [5], permettant d'identifier les meilleures stratégies de contrôle. Enfin, nous validons notre analyse théorique à l'aide de simulations numériques réalisées avec MATLAB.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Choi J (2019) Cheating behaviors and related factors at a Korean dental school. Korean J Med Education 31(3):239.

[2] Graves SM (2008) Student cheating habits: a predictor of workplace deviance. J Diversity Manag (JDM) 3(1):15-22.

[3] Desalegn AA, Berhan A (2014) Cheating on examinations and its predictors among undergraduate students at Hawassa University College of Medicine and Health Science, Hawassa, Ethiopia. BMC Med Educ 14:1-11.

[4] Wilkinson J (2009) Staff and student perceptions of plagiarism and cheating. Int J Teaching Learning Higher Education 20(2):98-105.

[5] Pontryagin LS (1987) Mathematical theory of optimal processes. CRC Press
<figure><img src="image_20.png" /></figure>

# On derivations and symmetric elements in prime rings with involution

**Communication Info**

**Authors:**

Hiba FIHI¹

Abdellah MAMOUNI ²

Khalid OUARGHI ³

¹ Faculty of sciences of Moulay Ismail university, Meknes, Morocco

² Faculty of sciences of Moulay Ismail university, Meknes, Morocco

³ Ecole Normale Supérieure of Moulay Ismail university, Meknes, Morocco

**Keywords:**

(1) Derivation

(2) involution

(3) prime ring

**Abstract**

In [1] Bell and Daif proved that a semiprime ring must be commutative if there exists a derivation d on R such that [x,y]=[d(x),d(y)] for all x,y∈ R; and in [2] it is shown that a prime ring is commutative if for some nonzero derivation d, [d(x),d(y)]=[d(x),y]+[x,d(y)] for all x,y∈ R. Follow up on this path of investigation H. Fihi and A. Mamouni in [3] studied the behavior of a fixed element a ∈ H(R) satisfying some differential identities in prime rings with hermitian elements. Consequently, O. Ait Zemzami, K. Ouarghi and A. Mamouni, showed that certain elements, defined by commutativity conditions involving derivations over prime rings, are either central elements or they classified the involved derivations. In [5] M. A. Idrissi, L. Oukhtite and N. Muthana are interested in the study of center-like subsets in prime rings involving more general identities. Keep investigating along these lines, our purpose in this paper is to prove that the set of Hermitian elements, characterized by commutativity conditions involving derivations in prime rings with involution *, are either central elements or their square are central elements.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] O. Ait Zemzami, K. Ouarghi and A. Mamouni. Commuting-like elements in prime rings with derivations. Rend. Circ. Mat. Palermo, II. Ser 71 (2022), 665-676.

[2] H. E. Bell and M. N. Daif, On commutativity and strong commutativity-preserving maps, Canad. Math. Bull. 37 (1994), no. 4, 443-447.

[3] H. E. Bell and M. N. Daif, On derivations and commutativity in prime rings, Acta Math. Hungar. 66 (1995), no. 4, 337-343.

[4] H. Fihi and A. Mamouni, Derivations in prime ring with involution involving symmetric elements, (accepted)

[5] M. A. Idrissi, L. Oukhtite and N. Muthana. Center-like subsets in rings with derivations or endomorphisms. Comm. Alg. 45 (2019), no. 9, 3794-3799.
On $\gamma$-Semigroup Dynamics for Specific Conformable Partial Differential Equations

**Communication Info**

**Authors:**

Manal MENCHIH¹
Khalid HILAL ¹
Ahmed KAJOUNI¹

¹ Sultan Moulay Slimane
University, BP 523, Beni Mellal,
23000, Morocco.

**Keywords:**

(1) Chaos

(2) Hypercyclicity

(3) Conformable semigroup.

**Abstract**

This work investigates the behavior of conformable admissible weight functions that trigger hypercyclicity and chaos for the solution $\gamma$-semigroup of a conformable spatiotemporal partial differential equation in the space $L_{\rho\gamma}^p([0, +\infty), C)$. We provide conditions that guarantee the occurrence of hypercyclicity and chaos. Furthermore, utilizing the conjugacy property, we extend our analysis to the hypercyclicity and chaos of the solution $\gamma$-semigroup associated with a spatiotemporal cell maturity-structured partial differential equation in the space $L_{\gamma}^p([0, +\infty), C)$.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] R. Khalil, M. Al Horani, A. Yousef, M. Sababheh, A new definition of fractional derivative. Journal of Computational and Applied Mathematics, 2014, 65-70.

[2] M. Matsui, F. Takeo, Chaotic semigroups generated by certain differential operators of order 1, SUT Journal of Mathematics, 2001, 51-67.

[3] G. Godefroy, J. H. Shapiro, Operators with dense, invariant, cyclic vector manifolds, Journal of Functional Analysis, 1991, 229-269.
Asynchronous exponential growth for semi-linear differential equations with
nondense domain: Applications to population dynamics

**Communication Info**

**Authors:**

Oumaima Moussafir¹
Khalil Ezzinbi ¹
Abdellah Afoukal²

¹ Cadi Ayyad university,
Marrakech, Morocco

² Sultan Moulay Slimane
university, Beni Mellal,
Morocco

**Keywords:**

(1) Hille-Yosida operators

(2) Extrapolation theory

(3) Age-structured models

**Abstract**

In our paper we studied AEG(for short) for a semi-linear evolution equation. We posit that the linear part is not densely defined however, it conforms to the resolvent estimates stipulated by the Hille-Yosida theory [1]. our results would be extensions of those obtained in [2]. We used also the extrapolated semigroups[3] to give proof to our main theorem. We studied also AEG strictly positive in Banach Lattice spaces with positive semigroups [4], also we mentioned the relation between AEG and the intrinsic growth constant [5]. Then we give some sufficient conditions ensuring AEG of the nonlinear semigroup solution of the differential equation.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] T. Diagana, G.M. N'Gudrokata, Almost automorphic solutions of evolution equations, Proc. Amer. Math. Soc. 132(2004), 3289-3298.

[2] M. Gyllenberg, Lulea University of technology, Departement of applied mathematics, S-95187, Lulea, Sweden.

[3] R. Nagel and E. Sinestrari, Inhomogenous Volterra integrodifferential equations for Hille-Yosida operators.
Functional analysis, 51-70, Marcel Dekker, (1989).

[4] Engel and Nagel, One parameter semigroups for linear evolution equations, Springer-Verlag, New-york, 2000.

[5] G. Webb, An operator-theoretic formulation of asynchronous exponential growth. Transactions of the American Mathematical Society 303.2(1987).
**Communication Info**

**Authors:**

Mohamed Reda JAOUANE¹

Jaafar EL KARKRI¹

¹ Mohammed V University in
Rabat

Laboratory LERMA

Mohammadia School of Engineers,

Rabat, Morocco

**Keywords:**

Socially Responsible Investments

Portfolio optimization

Fuzzy logic

Fuzzy TOPSIS

g-TOPSIS

**Abstract**

Socially Responsible Investments (SRI) involve environmental, social and governance (ESG) criteria into the decision process. They concern investors who aim to achieve both financial returns and ethical impact. The subjectivity of criteria characterizing (SRI) portfolios assessment makes it necessary to use efficient decision-making techniques to address the complexity and uncertainty inherent to the decision process. The Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS), especially its fuzzy version, is an efficient and practical framework in this context. This paper proposes a variant, particularly a generalized version of fuzzy TOPSIS, in order to deal with the uncertainty associated with Socially Responsible Investments portfolios evaluations. It shows how a new proposed variant of the method refines the decision-making process by dealing with the dynamic nature of investments environments, taking into account the investors profiles. The findings emphasize its potential to address the limitations of traditional fuzzy TOPSIS-based methods and improve the selection of (SRI) portfolios.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

Bede, B. (2012). Mathematics of Fuzzy Sets and Fuzzy Logic. Studies in Fuzziness and Soft Computing. Springer Berlin Heidelberg.

Gupta, P., Mehlawat, M. K., Inuiguchi, M., and Chandra, S. (2014). "Fuzzy portfolio optimization: Advances in hybrid-multi criteria methodologies". In: *Studies in fuzziness and soft computing 316*.

Hwang, C.-L., Yoon, K., Hwang, C.-L., and Yoon, K. (1981). "Methods for multiple attribute decision making". In: *Multiple attribute decision making: methods and applications a state-of the-art survey*, pp. 58-191. doi: https://doi.org/10.1007/978-3-642-48318-9_3

Klir, G. and Yuan, B. (1995). Fuzzy sets and fuzzy logic. Vol. 4. Prentice hall New Jersey.

Hanine, Y., Tkiouat, M., and Lahrichi, Y. (2021). "An Alternative Framework for Socially Responsible Portfolios Optimization Applied to the Moroccan Stock Exchange". In: *International Journal of the Analytic Hierarchy Process 13.1*. doi: https://doi.org/10.13033/ijahp.v13i1.831
New estimates of the q-numerical radius of
Hilbert space operators

**Communication Info**

**Authors:**

Ahmed Elbarbouchi<fnref n="1" />
Mohamed Boumazgour <fnref n="2" />
Mohamed Chraibi Kaadoud<fnref n="3" />

**Keywords:**

q-Numerical radius, Hilbert
spaces, bounded linear
operators, operator
inequalities, tensor
products, operator theory.

**Abstract**

This paper is devoted to the study of the q-numerical radius wq()
of bounded linear operators acting on Hilbert spaces. More
precisely, we give several new estimates of the q-numerical
radius of an operator as well as extensions of some existing
results in this setting. We also present some q-numerical radius
inequalities for the product and tensor product of bounded linear
operators.

In this work, we propose several new estimates for the q-
numerical radius, providing refinements and extensions to
existing results in the literature. These estimates contribute
to a better understanding of the geometric and algebraic
characteristics of operators in the q-setting.

Furthermore, we establish new inequalities for the q-
numerical radius in the context of operator products and
tensor products. These results highlight intriguing
relationships between the q-numerical radii of individual
components and their combined structures, paving the way
for potential applications in operator theory, quantum
mechanics, and related fields of mathematical analysis.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Li CK, Mehta PP, Rodman L. A generalized numerical range: the range of a constrained sesquilinear form. Linear Multilinear Algebra. 1994; 37(1--3):25-49.

[2] S. F. Moghaddam, A. K. Mirmostafaee and M. Janfada, q-numerical radius inequalities for Hilbert space operators, Linear Multilinear Algebra. 72 (5) (2022), 751-763.

[3] A. Patra and F. Roy, New upper bounds for the q-numerical radius of Hilbert space operators & Matrices. Volume 18, Number 2 (2024), 343-359.

<footnote n="1">¹ Faculty of Science, Ibn
Zohr University, Agadir,
Morocco.</footnote>

<footnote n="2">² Faculty of Economic
science, Ibn Zohr
University.</footnote>

<footnote n="3">³ Faculty of Science
Semlalia, Cadi Ayyad
University, Marrakesh,
Morocco.</footnote>
An optimal coherent security system for a non-life
insurance company using particle swarm optimization
(PSO) algorithm

**Communication Info**

**Authors:**

Abderrahim EL ATTAR ¹

Yassine KOUACH ²

¹,² Hassan II university,
Casablanca, Morocco

**Keywords:**

(1) Conditional Tail

Expectation

(2) Optimization

(3) Non-life insurance

(4) Reinsurance

(5) Security Loading

(6) Technical benefit

(7) Particle Swarm

Optimization

**Abstract**

Given the pervasive risks that insurance companies
encounter, it is imperative for these companies to
enhance their security systems. This article presents an
optimal and coherent security system for a non-life
insurance company, using reinsurance as a security tool
and technical support. Therefor the objective of this
study is to employ an optimization program designed
to, simultaneously and optimally, determine the security
loading and the parameters of reinsurance treaties. This
approach aims to maximize technical benefit and
minimize risk utilizing a new coherent risk measure
based on Conditional Tail Expectation (CTE)). To
accomplish this, a novel approach employing the
particle swarm optimization (PSO) algorithm was
implemented to resolve the proposed optimization
program.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

A. Zanotto & G. P. Clemente. 2022. An optimal reinsurance simulation model for non-life insurance in the Solvency II framework, *European Actuarial Journal*, Volume 12, pages 89–123.

Aase. 2002. Perspectives of risk sharing, *Scandinavian Actuarial Journal*, Vol 2.

Artzner & al. 1997. Definition of coherent measures of risk, *European Finance Association*, Symposium August 27-30.

Artzner. 1999. Application of coherent risk measures to capital requirements in insurance, *North American Actuarial Journal*, April 1999 Vol 3, N° 2.

Belloumi, R. 2015. Optimisation par Essaim de Particules Application à un système complexe.

C. Foata & H. Odjo. 2001. Analyse d'un système de sécurité cohérent et optimal pour une compagnie d'assurance IARD, XXXIIème Colloque Astin 8-11.

Engelbrecht, A. P. 2010. Heterogeneous Particle Swarm Optimization. In *Swarm Intelligence* (Vol. 6234, pp. 191–202). Springer Berlin Heidelberg.

Kennedy, J., & Eberhart, R. 1995. Particle swarm optimization. Proceedings of ICNN'95 - *International Conference on Neural Networks*, 4, 1942–1948 vol.4.

Kochenderfer, M. J., & Wheeler, T. A. 2019. Algorithms for Optimization. *MIT Press*.
New improvements of some classical
inequalities

**Communication Info**

**Authors:**

Abdelmajid Gourty¹

Mohamed Amine Ighachane²

Fuad Kittaneh³,⁴

¹Faculty of Sciences of Agadir
(FSA)Ibn zohr university
Agadir, Morocco.

² Chouaib Doukkali University
El Jadida, Morocco.

³ University of Jordan, Amman,
Jordan.

⁴ Korea University, Seoul
02841, Souh Korea.

**Keywords:**

(1) Numerical radius

(2) mixed Schwarz inequality

(3) Kato's inequality

**Abstract**

This paper introduces a new scalar inequality that enhances classical results related to inner products and the numerical radius of operators. The study provides refined bounds for expressions involving operators and vectors in a Hilbert space. A key finding is the identification of a sequence of refined inequalities, which is shown to be increasing and converges to an improved upper bound of the mixed Schwarz inequality. These results represent a significant extension and refinement of existing mathematical inequalities, offering deeper insights and broader applications within operator theory.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] S. S. Dragomir, Power inequalities for the numerical radius of a product of two operators in Hilbert spaces Sarajevo J. Math. 2009, 5, 269--278.

[2] M. A. Ighachane, F. Kittaneh, F. and Z. Taki, New refinements of some classical inequalities via Young's inequality.)Adv. Oper. Theory 9, 49 (2024).

3] F. Kittaneh and H. R. Moradi, Cauchy-Schwarz type inequalities and applications to numerical radius inequalities,Math. Inequal. Appl. (23), (3) (2020), 1117--1125. [

4] M. El-Haddad and F. Kittaneh, Numerical radius inequalities for Hilbert space operators IISudia Math. 182 (2007), No. 2, 133--140.

[5] T. Furuta, An extension of the Heinz-Kato theorem, Proc. Am. Math. Soc. 120, (1994), 785--787
<figure><img src="image_21.png" /></figure>

Modeling HPV with Cervical Cancer and HIV
with AIDS Diseases Co infection

**Communication Info**

**Authors:**

KHALOUQI Dounia
NADIA IDRISSI FATMI

LIPIM ENSAK, Sultan
Moulay Slimane University,
Beni Mellal Morocco.

**Keywords:**

(1) Co-infection

(2) HPV

(3) Cervical Cancer

(4) HIV/AIDS

(5)Stability Analysis,

**Abstract**

In this article, a deterministic mathematical model for HPV co-infection with cervical cancer and HIV/AIDS diseases was formulated and rigorously analyzed. Local and global stability of balance without disease and Model endemicity was established using basic reproduction number. The results show that in the HPV-only model, HIV single model and HPV-HIV co-infection model if the base reproduction is less than one then the solution converges to the model disease-free equilibrium state and disease-free equilibrium is locally asymptotically stable. Endemic states are considered to exist when the basic reproduction number for each disease is greater than one. Sensitivity analysis of a model was carried out on the key parameters to know their relative importance and their potential impact on transmission dynamics of HPV and HIV separately. Numerical simulations indicate the effect of varying contact rate parameters on single disease and co-infection dynamics. As we increase contact rates, infections increase.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Eshetu Dadi Gurmu, Purnachandra Rao Koya, "Sensitivity Analysis and Modeling the Impact of Screening on the Transmission Dynamics of Human Papilloma Virus (HPV)", American Journal of Applied Mathematics. 7(3), 70-79, (2019)

[2] A. Nwankwo1, D. Okuonghae1, "Mathematical Analysis of the Transmission Dynamics of HIV Syphilis Co-infection in the Presence of Treatment for Syphilis", Bull Math Biol, (2017).
An isoperimetric problem with a potential
perturbation of regular kernel

**Communication Info**

**Authors:**
Idriss OUSKHNID
Abdslam BOUARICH

*Faculty of Sciences and*
*Techniques, Beni Mellal,*
*Morocco*

**Keywords:**

(1) Minimization

(2) Non-local repulsive

(3) Potential

**Abstract**

In this paper, we study the minimization of a
functional defined as the sum of classical perimeter
and a non-local repulsive regular potential. We
establish the existence of a minimizer for this
functional within the admissible class of a sets
under a prescribed volume constraint. However, the
shape of minimizer remains unknown at this stage.
To address this, we introduce an additional
potential of the form |χ<sub>E</sub> - χ<sub>B<sub>r</sub>(x)</sub>|, where x ∈ E to
modify the original functional. This modification
allows us to demonstrate that the modified
functional has unique minimizer up to translation
and its shape is a ball. We investigate this result to
determine the shape of original functional.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] Cicalese, M., & Leonardi, G. P. *A selection principle for the sharp quantitative isoperimetric inequality*. Archive for Rational Mechanics and Analysis, **206**, 2012, 617-643.

[2] Knüpfer, H., & Muratov, C. B. *On an isoperimetric problem with a competing nonlocal term I: The planar case*. Communications on Pure and Applied Mathematics, **66**(7), 2013, 1129-1162.

[3] Novaga, M., & Pratelli, A. *Minimizers of a general Riesz-type problem*. Nonlinear Analysis, **209**, 2021, 112346.

[4] Pegon, M. *Large mass minimizers for isoperimetric problems with integrable nonlocal potentials*. Nonlinear Analysis, **211**, 2021, 112395.
Boundary controllability for Caputo fractional
differential equation

**Communication Info**

**Authors:**

Abdellah Lourini*¹

Mohamed El Azzouzi²

Mohamed Laabissi¹

¹ Department of Mathematics,
Faculty of Sciences, Chouaib Doukkali University, BP 20 El Jadida, 24000, Morocco

² Department of STIN, National School of Applied Sciences, Chouaib Doukkali University, BP 1166, El Jadida, 24000, Morocco

*louriniabdellah3@gmail.com

**Keywords:**

(1) Controllability

(2) Caputo fractional derivative

(3) Boundary control

(4) Unbounded control operator

(5) Fractional semigroup

**Abstract**

The aim of this talk is to study the existence of mild solutions and the exact controllability of an abstract Caputo fractional system with semilinear boundary control in Banach spaces [1]. Sufficient conditions for the existence of mild solutions and controllability are established using Schauder's fixed-point theorem. Furthermore, for fractional linear boundary control, we provide a characterization of controllability via a standard fractional linear system with internal control [2]. An illustrative example is included to demonstrate the applicability and validity of the theoretical results.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] M. Hannabou, M. Bouaouid, K. Hilal, Controllability of mild solution of nonlocal conformable fractional differential equations, Advances in Mathematical Physics 2022 (2022).

[2] A. Lourini, M. El Azzouzi, M. Laabissi, Null controllability of an abstract riesz-spectral boundary control systems, Journal of Dynamical and Control Systems 30 (3) (2024) 1–13.

[3] M. Warma, On the approximate controllability from the boundary for fractional wave equations, Applicable Analysis 96 (13) (2017) 2291–2315.

[4] K. Fujishiro, Approximate controllability for fractional diffusion equations by dirichlet boundary control, arXiv preprint arXiv:1404.0207 (2014).

[5] K. Zguaid, F. Z. El Alaoui, Regional boundary observability for linear time-fractional systems, Partial Differential Equations in Applied Mathematics 6 (2022) 100432.
STOCHASTIC VASICEK PROCESS APPLIED TO
MODEL AND FORECAST WATER PRODUCTIVITY

**Communication Info**

**Authors:**

Nadia MAKHLOUKI¹
Ahmed Nafidi²
Ilyass MAKROZ ³
Boujemâa ACHCHAB⁴

1,2,3,4 University hassan first,
ENSA Berrechid, Morocco

**Keywords:**

(1) Homogeneous Vasicek
model

(2) Statistical inference

(3) Application to water
productivity in Morocco.

**Abstract**

In this work, we study a stochastic homogeneous Vasicek diffusion process, and we determine its characteristics, such as the analytical expression, the trend functions, then by using the maximum likelihood approach based on discrete sampling, we estimate parameters and trend functions. To evaluate the capability of this process we use simulated sample paths of the model and examine the goodness of fit. Finally, we applied the process to fit and predict the total water productivity in Morocco.

**References**

[1] O. A. Vasicek, An equilibrium characterization of the term structure, Journal of Financial Economics 5 (1977), 177-188.

[2] R. Gutiérrez, R. Gutiérrez-Sánchez, A. Nafidi and A. Pascual, Detection, modelling and estimation of non-linear trends by using a non-homogeneous Vasicek stochastic diffusion, Application to CO2 emissions in Morocco, Stoch. Environ. Res. Risk Assess. 26 (2012), 533-543.

[3] A. Nafidi, I. Makroz, R. Gutiérrez Sánchez and E. Ramos-Ábalos, Multivariate stochastic Vasicek diffusion process: computational estimation and application to the analysis of CO2 and N2O concentrations, Stoch. Environ. Res. Risk Assess. 38 (2024), 2581-2590.

[4] P. W. Zehna, Invariance of maximum likelihood estimators, The Annals of Mathematical Statistics 37 (1966), 744.

[5] T. W. Anderson, An Introduction to Multivariate Statistical Analysis, 2nd ed., Wiley, New York, 1984.
Optimality conditions for a class of bilinear
control problems

**Communication Info**

**Authors:**

Redouane EL MEZEGUEL DY¹
Mohamed OUZAHRA¹

¹ MASI Laboratory, ENS,
USMBA Fez, Morocco

**Keywords:**

(1) Bilinear control

(2) Optimality conditions

(3) Evolution equations

**Abstract**

We explore optimality conditions for bilinear control problems in infinite-dimensional spaces, where the system evolves according to a nonlinear state equation driven by a bilinear control term. After establishing foundational results on solution regularity and existence, we prove the existence of optimal controls using variational methods and derive first- and second-order optimality conditions via sensitivity analysis of the control-to-state mapping. A central contribution shows that controls satisfying the first-order necessary condition and a quadratic positivity requirement on the second derivative of the cost functional—for all admissible perturbation directions—are guaranteed to be strict local minimizers.

These findings extend classical finite-dimensional optimization theory to abstract bilinear systems, addressing challenges unique to infinite-dimensional spaces. The quadratic positivity condition, first generalized to PDE-constrained optimization in foundational work [1], has been validated in diverse applications such as sparse controls [2, 3], Fokker-Planck models [4], and fractional PDEs [5].

Unlike PDE-specific models [1-5], our abstract framework uncovers universal structural properties of bilinear systems while clarifying the minimal assumptions required to ensure second-order sufficiency in general bilinear control.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] E. Casas and F. Tröltzsch, Second order analysis for optimal control problems: improving results expected from abstract theory, *SIAM Journal on Optimization* 22(1), 2012, 261–279.

[2] E. Casas, Second order analysis for bang-bang control problems of PDEs, *SIAM Journal on Control and Optimization* 50(4), 2012, 2355–2372.

[3] E. Casas, D. Wachsmuth, and G. Wachsmuth, Sufficient second-order conditions for bang-bang control problems, *SIAM Journal on Control and Optimization* 55(5), 2017, 3066–3090.

[4] J. Körner and A. Borzì, Second-order analysis of Fokker--Planck ensemble optimal control problems, *ESAIM: Control, Optimisation and Calculus of Variations* 28, 2022, 77.

[5] G. Mophou, C. Kenne, and M. Warma, Bilinear optimal control for a fractional diffusive equation, *Optimization*, 2024, 1–27.
On m-EP operators

Communication Info

Authors:

Mohammed EL BILALI¹

Mohammed MOUCOUF¹

¹ Chouaib Doukkali University,
Faculty of sciences, Department of
Mathematics, Laboratory
Fundamental Mathematics and
their Applications, 24000 El Jadida,
Morocco.

Keywords:

(1) m-EP operator

(2) Drazin inverse

(3) Moore-Penrose inverse

Abstract

Let H be a complex Hilbert space and let B(H) denote the set of all bounded linear operators on H. In this paper, we give new characterizations of m-EP operators. We start by proving that an operator T $\otimes$ B(H) is an m-EP operator if and only if T is Drazin invertible and its Drazin inverse commutes with its Moore-Penrose inverse. We then discuss some new properties of m-EP operators using the range and the null space of T. Finally, in the aim of better understanding of the set of m-EP operators, we introduce two new operator classes related to the notion of Drazin-Moore-Penrose inverse called the m-DMP and m-MPD operators.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] Adi Ben-Israel, Thomas. N.E Greville, Generalized inverses: theory and applications. 2nd ed. New York, Springer-Verlag, 2003.

[2] Wang, C. Deng, Properties of m-EP operators, Linear Multilinear Algebra, 65, 2016, 1349-1361.

[3] Ferreyra DE, Levis FE, Thome N, Characterizations of k-commutative equalities for some outer generalized inverses, Linear Multilinear Algebra, 68, 2018, 177-192.

[4] Du, H., Deng, C, The representation and characterization of Drazin inverses of operators on a Hilbert space, Linear Algebra Appl, 407, 2005, 117-124.
A relationship between Favard space and admissibility for a analytic
resolvent family of an integral Volterra system

**Communication Info**

**Authors:**

Rachid Guirhir¹

Ahmed Fadili ²

¹ LIMATI, Sultan Moulay
Slimane University of Beni
Mellal, Morocco

² LIMATI, Sultan Moulay
Slimane University of Beni
Mellal, Morocco

**Keywords:**

(1) Volterra equation

(2) Analytic resolvent family

(3) Favard space

(4) Admissibility

**Abstract**

The notion of admissibility control operators for
Volterra systems is well studied in [3, 2]. The notion of
analytic resolvent family of Volterra systems is well
studied in [4, 5].

In this communication, we are concerned with a class of
scalar Volterra equations. In order we present some
new results concerning the Favard space of analytic
resolvent for a Volterra system with infinite dimension
generalizing some results in [1] and finally we establish
some relationship between the Favard space and the
admissibility of unbounded control operators for linear
Volterra systems in Banach space generalizing some
results in [6].

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

**References**

[1] K.J.Engel, R. Nagel; One-parameter semigroups for linear evolution equations. New York, Berlin, Heidelberg, 2000.

[2] A.Fadili, H.Bounit, On the complex inversion formula and admissibility for a class of Volterra systems. *International Journal Of Differential Equations*. **2014** (2014).

[3] M. Jung; Admissibility of control operators for solution families to Volterra integral equations. SIAM J. Control. Optim, 38:1323–1333, 2000.

[4] J. Pruss, Evolutionary Integral Equations and Applications. Birkhäuser-Verlag, Basel, 1993.

[5] W. Desch, J. Pruss; Counterexamples for abstract linear Volterra equations. Differ. Integral Equ, (5) 1:29–45, 1993.

[6] F. Maragh, H. Bounit, A. Fadili, H. Hammouri; On the admissible control operators for linear and bilinear systems and the Favard spaces. Bulletin of the Belgian Mathematical Society - Simon Stevin, 21:711–732., (4) 2014.
<figure><img src="image_22.png" /></figure>

Asymptotic behavior of solutions for parabolic problems of
fractional type and sign-changing measure data

Communication Info

Authors:

Mohammed ABDELLAOUI¹
Hicham REDWANE²

¹ University Moulay Ismail of Meknes, Faculty of Sciences, Department of mathematics, Morocco

² Faculté d'Économie et de Gestion, Université Hassan 1, Settat, Morocco

Keywords:

(1) Fractional order Sobolev spaces

(2) Fractional Capacity

(3) Asymptotic behavior

(4) Entropy solutions

Abstract

We prove a new asymptotic behavior result (with
respect to the time variable t) of entropy solutions for
fractional parabolic problems, with Dirichlet boundary
at infinity, whose model is

$$
\begin{cases}
u_t + (-\Delta)_p^s u = \mu \quad \text{in } Q := (0, \infty) \times \mathbb{R}^N, \\
u(0, x) = u_0(x) \quad \text{in } \mathbb{R}^N,
\end{cases}
$$

where $(-\Delta)_p^s u$ is the fractional $(s, p)$-Laplace operator
(with $ps < N, 0 < s < 1$, and $p > 2 - \frac{s}{N}$), $u_0 \in$
$L_{\text{loc}}^1(\Omega)$ and $\mu$ is a bounded, compactly supported Radon
measure whose support is compactly contained in
$Q := (0, \infty) \times \mathbb{R}^N, N \ge 2$ (not depending on time) which
does not charge the sets of the fractional $(s, p)$-capacity.

© ICRAMCS 2025 Proceedings ISSN: 2605-7700

References

[1] M. Abdellaoui, On the behavior of entropy solutions for a fractional p-Laplacian problem as t tends to infinity. Rend. Mat. Appl. (7), Volume 43 (2022), 103-132.

[2] M. Abdellaoui and E. Azroul, Renormalized solutions for nonlinear parabolic equations with general measure data, Electron. J. Differential Equations, No. 132 (2018), 1-21.

[3] F. Petitta. Large time behavior for solutions of nonlinear parabolic problems with sign-changing measure data. Electronic Journal of Differential Equations, no. 132, 1-10 (2008).

[4] F. Petitta, Renormalized solutions of nonlinear parabolic equations with general measure data, Ann. Mat. Pura ed Appl., 187 (4) (2008), 563-604.

[5] M. Warma, The Fractional Relative Capacity and the Fractional Laplacian with Neumann and Robin Boundary Conditions on Open Sets. Potential Anal 42, 499–547 (2015).

[6] Warma, M.: The p-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets. Ann. Mat. Pura Appl. 193(4), 203-235 (2014).