Elzaki Transform and the Decomposition Method for Nonlinear Fractional Partial Differential Equations

Abstract

The aim of this paper is to make change to the application of the modified Adomian decomposition method suggested in [11] and we extend to obtaining solutions of nonlinear partial differential equations with time-fractional derivative. The fractional derivative is described in the Caputo sense. Some illustrative examples are given, revealing the effectiveness and convenience of the method.