Yang-Laplace Decomposition Method for Nonlinear System of Local Fractional Partial Differential Equations
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24 déc. 2019
À propos de cet article
Publié en ligne: 24 déc. 2019
Pages: 489 - 502
Reçu: 15 avr. 2019
Accepté: 02 juin 2019
DOI: https://doi.org/10.2478/AMNS.2019.2.00046
Mots clés
© 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.