| Issue |
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|
|
|---|---|---|
| Article Number | 01008 | |
| Number of page(s) | 7 | |
| DOI | https://doi.org/10.1051/itmconf/20182201008 | |
| Published online | 17 October 2018 | |
Novel Recursive Approximation for Fractional Nonlinear Equations within Caputo-Fabrizio Operator
Department of Mathematics-Computer Sciences, Necmettin Erbakan University, Konya, Turkey
* Corresponding author: mehmetyavuz@konya.edu.tr
This study displays a novel method for solving time-fractional nonlinear partial differential equations. The suggested method namely Laplace homotopy method (LHM) is considered with Caputo-Fabrizio fractional derivative operator. In order to show the efficiency and accuracy of the mentioned method, we have applied it to time-fractional nonlinear Klein-Gordon equation. Comparisons between obtained solutions and the exact solutions have been made and the analysis shows that recommended solution method presents a rapid convergence to the exact solutions of the problems.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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