The Extended Fractional (D_ζ~αG/G) -Expansion Method and Its Applications to a Space-Time Fractional Fokas Equation

Zhao Yunmei; He Yinghui

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The Extended Fractional (D_ζ~αG/G) -Expansion Method and Its Applications to a Space-Time Fractional Fokas Equation

机译：扩展分数阶（D_ζ〜αG/ G）展开方法及其在时空分数Fokas方程中的应用

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Based on a fractional subequation and the properties of the modified Riemann-Liouville fractional derivative, we propose a new analytical method named extended fractional (D(xi)(alpha)G/G)-expansionmethod for seeking traveling wave solutions of fractional partial differential equations. To illustrate the effectiveness of themethod, we discuss a space-time fractional Fokas equation, many types of exact analytical solutions are obtained, and the solutions include hyperbolic function and trigonometric and negative exponential solutions.

机译：基于分数次方程和修正的Riemann-Liouville分数阶导数的性质，我们提出了一种新的解析方法，称为扩展分数（D（xi）αG/ G）-展开方法，用于寻求分数偏微分方程的行波解。为了说明该方法的有效性，我们讨论了时空分式Fokas方程，获得了许多类型的精确解析解，并且这些解包括双曲线函数以及三角和负指数解。

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来源
《Mathematical Problems in Engineering》 |2017年第9期|8251653.1-8251653.9|共9页
作者
Zhao Yunmei; He Yinghui;
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作者单位

Honghe Univ, Dept Math, Mengzi 661199, Yunnan, Peoples R China;

Honghe Univ, Dept Math, Mengzi 661199, Yunnan, Peoples R China;

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7. The Extended Fractional (DξαG/G)-Expansion Method and Its Applications to a Space-Time Fractional Fokas Equation [O] . Yunmei Zhao, Yinghui He 2017

机译：扩展的分数（Dξαg/ g） - 扩展方法及其在空时分法FOKAS方程中的应用

The Extended Fractional (D_ζ~αG/G) -Expansion Method and Its Applications to a Space-Time Fractional Fokas Equation

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