Vol.55, No.4, 2021, pp.295-303, doi:10.32604/sv.2021.014445
OPEN ACCESS
ARTICLE
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)
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.
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