Analytical treatment of differential equations with fractional coordinate derivatives
This paper outlines a reliable strategy to use the homotopy perturbation method based on Jumaries derivative for solving fractional differential equations. In this framework, compact structures of fourth-order fractional diffusion-wave equations are considered as prototype examples. Moreover, convergence of the proposed approach for these types of equations is investigated. Results show that the response expressions are Mittag-Leffler stable.
homotopy perturbation method jumaries derivative fractional differential equations fourth-order fractional diffusion-wave equation mittag-leffler stability