Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations
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Dec 24, 2019
About this article
Published Online: Dec 24, 2019
Page range: 489 - 502
Received: Apr 15, 2019
Accepted: Jun 02, 2019
DOI: https://doi.org/10.2478/AMNS.2019.2.00046
Keywords
© 2019 Djelloul Ziane et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 Public License.
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.