New Integral Transform for Solving Nonlinear Partial Differential Equations of fractional order

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