<abstract xmlns="http://www.w3.org/1999/xhtml"> 

<p>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.</p>
</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.

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

Laboratory of mathematics and its applications (LAMAP)

Applied Mathematics and Nonlinear Sciences

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...

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

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
Local fractional derivative operator, local fractional Yang-Laplace decomposition method, nonlinear systems of local fractional partial differential equations

© 2019 Djelloul Ziane et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

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

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

KeywordsLocal fractional derivative operator, local fractional Yang-Laplace decomposition method, nonlinear systems of local fractional partial differential equations

© 2019 Djelloul Ziane et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Keywords
Local fractional derivative operator, local fractional Yang-Laplace decomposition method, nonlinear systems of local fractional partial differential equations