An Efficient Method for Solving Coupled Time Fractional Nonlinear Evolution Equations with Conformable Fractional Derivatives

Osama H.  Mohammed; Firas S.  Ahmed

doi:10.24996/ijs.2020.61.11.29

Authors

Osama H. Mohammed Department of Mathematics .and Computer Applications,college of science, Al-Nahrain University, 64055 Baghdad, Iraq
Firas S. Ahmed Computer Unit, college of Agricultural Engineering Sciences, Baghdad University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.11.29

Keywords:

Fractional differential equations (FDEs), Residual power series method (RPSM), Nonlinear evolution equations

Abstract

In this article, an efficient reliable method, which is the residual power series method (RPSM), is used in order to investigate the approximate solutions of conformable time fractional nonlinear evolution equations with conformable derivatives under initial conditions. In particular, two types of equations are considered, which are time coupled diffusion-reaction equations (CD-REs) and MKdv equations coupled with conformable fractional time derivative of order Î±. The attitude of RPSM and the influence of different values of Î± are shown graphically.