Local Fractional Laplace Variational Iteration Method for Solving Nonlinear Partial Differential Equations on Cantor Sets within Local Fractional Operators

Abstract

In this work, we discuss solutions of the nonlinear partial differential equations on
 Cantor sets within local fractional operators. The nondifferentiable approximate
 solutions are obtained by using the local fractional Laplace variational iteration method,
 which is the coupling method of local fractional variational iteration method and
 Laplace transform. The obtained results show the efficiency and accuracy of implements
 of the present method.