Natural homotopy perturbation method for solving nonlinear fractional gas dynamics equations

In this paper, we investigate solutions of nonlinear fractional differential equations by using Natural homotopy perturbation method (NHPM). This method is coupled by the Natural transform (NT) and homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the presented method.

Keywords:

Local fractional RDTM , Fractional gas dynamics equation , Natural transform , Homotopy perturbation method