Nonlinear fractional partial differential equations systems solutions through a hybrid homotopy perturbation Sumudu transform method

Abstract

A user-friendly algorithm, HPSTM, is proposed to solve a system of nonlinear fractional partial differential equations. The HPSTM is based on a hybrid combination of the Sumudu transform, the homotopy perturbation method, and usage of He’s polynomials that are highly apt to treat the nonliear terms. Fractional derivative are taken in the Caputo sense. The results show that this technique is highly efficient for finding approximate solutions of nonlinear fractional partial differential equations.