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He’s Homotopy Perturbation Method and Fractional Complex Transform for Analysis Time Fractional Fornberg-Whitham Equation
Authors:Yanni Zhang  Jing Pang
Affiliation:1 College of Science, Inner Mongolia University of Technology, Hohhot, 010000, China2 Inner Mongolia Key Laboratory of Statistical Analysis Theory for Life Data and Neural Network Modeling, Inner Mongolia University of Technology, Hohhot, 010000, China
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
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