Analysis of fractional Kawahara and modified Kawahara equations based on Caputo-Fabrizio derivative operator

Bhausaheb Rajba Sontakke, Shankar R. Raut

Abstract


In this paper, nonlinear time fractional Kawahara and modified Kawahara equations based on Caputo-Fabrizio derivative operator is analysed using iterative Laplace transform method to obtain approximate solutions. The substantive features of the manuscript is to offer the stability conditions of solution for proposed technique. The acquired approximate solutions are in comparison with the precise solutions to confirm the applicability, performance and accuracy of the method. Moreover, the 3D plots of obtained numerical solution of the concerned equations for various specific cases are presented.

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Published: 2021-08-30

How to Cite this Article:

Bhausaheb Rajba Sontakke, Shankar R. Raut, Analysis of fractional Kawahara and modified Kawahara equations based on Caputo-Fabrizio derivative operator, J. Math. Comput. Sci., 11 (2021), 7105-7125

Copyright © 2021 Bhausaheb Rajba Sontakke, Shankar R. Raut. 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.

 

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