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

IF 0.9 Q4 ACOUSTICS

Sound and Vibration Pub Date : 2021-01-01 DOI:10.32604/sv.2021.014445

Yanni Zhang, J. Pang

引用次数: 0

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.

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分析时间分数阶Fornberg-Whitham方程的He同伦摄动法和分数阶复变换

本文研究了何氏分数阶导数的时间分数Fornberg-Whitham方程。为了将分数阶模型转化为其等效的微分方程，采用分数阶复变换，并采用He同伦摄动法得到分数阶问题的近似解析解。绘制图形以分析分数阶数学模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sound and Vibration 物理-工程：机械

CiteScore

1.50

自引率

33.30%

发文量

审稿时长

>12 weeks

期刊介绍： Sound & Vibration is a journal intended for individuals with broad-based interests in noise and vibration, dynamic measurements, structural analysis, computer-aided engineering, machinery reliability, and dynamic testing. The journal strives to publish referred papers reflecting the interests of research and practical engineering on any aspects of sound and vibration. Of particular interest are papers that report analytical, numerical and experimental methods of more relevance to practical applications. Papers are sought that contribute to the following general topics: -broad-based interests in noise and vibration- dynamic measurements- structural analysis- computer-aided engineering- machinery reliability- dynamic testing

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