Approximate Analytical Solutions of Fractional Nonlinear Physical Differential Equations

Abstract

In this paper, we propose a new approximate method, namely homotopy perturbation natural transform method (HPNTM) to solve fractional differential equations arising in physics. This method is a combination of the natural transform method and the homotopy perturbation method. The results reveal that the method is very effective, simple and can be applied to other physical differential equations. The fractional derivatives are described in the Caputo sense.