Local Fractional Sumudu Variational Iteration Method for Solving Partial Differential Equations with Local Fractional Derivative

Abstract

In this paper, we combine the Sumudu transform method with the Adomian decomposition method in the sense of local fractional derivative, for solving linear and nonlinear local fractional partial differential equations. This method is called the Local Fractional Sumudu Variational Iteration Method (LFSVIM). The LFSVIM can easily be applied to many problems and is capable of reducing the size of computational work to find non-differentiable solutions to local fractional partial differential equations. Some illustrative examples are given, revealing the effectiveness and convenience of the method.