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

被引：4
作者：
Zhang, Yanni [1 ,2 ]
Pang, Jing [1 ,2 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010000, Peoples R China
[2] Inner Mongolia Univ Technol, Inner Mongolia Key Lab Stat Anal Theory Life Data, Hohhot 010000, Peoples R China
来源：
SOUND AND VIBRATION | 2021年 / 55卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Time fractional Fornberg-Whitham equation; fractional complex transform; He's homotopy perturbation method;
D O I：
10.32604/sv.2021.014445
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
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.
引用
收藏
页码：295 / 303
页数：9
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