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He’s Homotopy Perturbation Method and Fractional Complex Transform for Analysis Time Fractional Fornberg-Whitham Equation

Yanni Zhang1,2, Jing Pang1,2,*
1 College of Science, Inner Mongolia University of Technology, Hohhot, 010000, China
2 Inner Mongolia Key Laboratory of Statistical Analysis Theory for Life Data and Neural Network Modeling, Inner Mongolia University of Technology, Hohhot, 010000, China
* Corresponding Author: Jing Pang. Email:
(This article belongs to this Special Issue: Analytical Methods for Nonlinear Vibration & Active Control in Nano/Micro Devices and Systems)

Sound & Vibration 2021, 55(4), 295-303. https://doi.org/10.32604/sv.2021.014445

Received 28 September 2020; Accepted 18 June 2021; Issue published 18 October 2021

Abstract

In this article, time fractional Fornberg-Whitham equation of He’s fractional derivative is studied. To transform the fractional model into its equivalent differential equation, the fractional complex transform is used and He’s homotopy perturbation method is implemented to get the approximate analytical solutions of the fractional-order problems. The graphs are plotted to analysis the fractional-order mathematical modeling.

Keywords

Time fractional Fornberg-Whitham equation; fractional complex transform; He’s homotopy perturbation method

Cite This Article

Zhang, Y., Pang, J. (2021). He’s Homotopy Perturbation Method and Fractional Complex Transform for Analysis Time Fractional Fornberg-Whitham Equation. Sound & Vibration, 55(4), 295–303.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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