A new analytical solution of Klein–Gordon equation with local fractional derivative

Abstract

The work presented in this paper is to combine the Sumudu transform method with a variational iteration method for solving linear and nonlinear partial differential equations with local fractional derivative. We apply the proposed method to obtain approximate analytical solutions of Klein–Gordon equations with local fractional derivative. The results obtained for the local fractional Klein–Gordon equation in the three cases presented, are in the form of non-differentiable functions. Through this work it can be said that this method is an alternative analytical method for linear and nonlinear local fractional partial differential equations.