Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations
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24 dic 2019
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Publicado en línea: 24 dic 2019
Páginas: 489 - 502
Recibido: 15 abr 2019
Aceptado: 02 jun 2019
DOI: https://doi.org/10.2478/AMNS.2019.2.00046
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© 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.