Application of Homotopy Perturbation Sumudu Transform Method for Solving Nonlinear Fractional Heat-like Equations

Abstract

In this paper, we propose an algorithm to find approximate solutions of the proposed system of the fractional heat-like equations. The proposed algorithm basically illustrates how the two powerful algorithms, the homotopy perturbation method (HPM) and the Sumudu transform method (STM) can be combined and used to get exact solutions of fractional partial differential equations. We also present some examples to illustrate the accuracy and the effectiveness of this algorithm.