New Integral Transform for Solving Nonlinear Partial Di erential Equations of fractional order

Abstract

In this work, we have applied Elzaki transform and He's homotopy perturbation method to solve<br />partial di erential equation (PDEs) with time-fractional derivative. With help He's homotopy per-<br />turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopy<br />perturbation method in order to reformulate initial value problem. Some illustrative examples are<br />given in order to show the ability and simplicity of the approach. All numerical calculations in this<br />manuscript were performed on a PC applying some programs written in Maple.