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In this article, a coupling of the variational iteration method with the Sumudu transform via the local fractional calculus operator is proposed for the first time. As a testing example, the exact solution for the local fractional diffusion equation in fractal one-dimensional space is obtained. The method provided an accurate and efficient technique for solving the local fractional PDEs. c ©2016 All rights reserved.

A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations