Exact Solution of a Nonlinear Time-Caputo Fabrizio Fractional Dispersive Equation

Exact Solution of a Nonlinear Time-Caputo Fabrizio Fractional Dispersive Equation

Volume 4, Issue 2, Article 3 - 2018

Authors: Abdelaziz OUHADAN; Youness CHATIBI;El Hassan ELKINANI;Ibrahim Ahmed AL-SUBAIHI

Copyright © 2018 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 Download PDF File

 Share on GOOGLE+  Share on Twitter  Share on LinkedIn Open XML File

Abstract

In this paper, the invariant subspace method is used to solve the nonlinear fifth order dispersive equation involving time-Caputo Fabrizio fractional derivative. A non trivial exact solution of this nonlinear fractional partial differential equation is obtained and it is employed to demonstrate the memory effect when the fractional order is close to zero.

How To Cite This Article

@article{OUHADAN_2018, doi = {10.31559/glm2016.4.2.3}, url = {https://doi.org/10.31559%2Fglm2016.4.2.3}, year = 2018, month = {apr}, publisher = {Refaad for Studies and Research}, volume = {4}, number = {2}, pages = {67--75}, author = {Abdelaziz OUHADAN and Youness CHATIBI and El Hassan ELKINANI and Ibrahim AL-SUBAIHI}, title = {Exact Solution of a Nonlinear Time-Caputo Fabrizio Fractional Dispersive Equation}, journal = {General Letters in Mathematics} }
OUHADAN, A., CHATIBI, Y., ELKINANI, E. H., & AL-SUBAIHI, I. (2018). Exact Solution of a Nonlinear Time-Caputo Fabrizio Fractional Dispersive Equation. General Letters in Mathematics, 4(2), 67–75. doi:10.31559/glm2016.4.2.3
[1]A. OUHADAN, Y. CHATIBI, E. H. ELKINANI, and I. AL-SUBAIHI, “Exact Solution of a Nonlinear Time-Caputo Fabrizio Fractional Dispersive Equation,” General Letters in Mathematics, vol. 4, no. 2, pp. 67–75, Apr. 2018.
OUHADAN, Abdelaziz, Youness CHATIBI, El Hassan ELKINANI, and Ibrahim AL-SUBAIHI. “Exact Solution of a Nonlinear Time-Caputo Fabrizio Fractional Dispersive Equation.” General Letters in Mathematics 4, no. 2 (April 1, 2018): 67–75. doi:10.31559/glm2016.4.2.3.