Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations

Abstract

The basic motivation of the present study is to extend the application of the local fractional Yang-Laplace decomposition method to solve nonlinear systems of local fractional partial differential equations. The differential operators are taken in the local fractional sense. The local fractional Yang-Laplace decomposition method (LFLDM) can be easily applied to many problems and is capable of reducing the size of computational work to find non-differentiable solutions for similar problems. Two illustrative examples are given, revealing the effectiveness and convenience of the method.

Keywords

• local fractional derivative operator
• local fractional yang-laplace decomposition method
• nonlinear systems of local fractional partial differential equations
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