Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation

Abdel-Salam Emad A. -B.; Al-Muhiameed Zeid I. A.

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Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation

机译：时空分数阶组合KdV-mKdV方程的解析解

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The fractional mapping method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, we discuss the space-time fractional combined KdV-mKdV equation. Many types of exact analytical solutions are obtained. The solutions include generalized trigonometric and hyperbolic functions solutions. These solutions are useful to understand the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time.

机译：提出了分数阶映射方法来求解分数阶微分方程。为了说明该方法的有效性，我们讨论了时空分数组合的KdV-mKdV方程。获得了许多类型的精确分析解决方案。这些解决方案包括广义三角函数和双曲函数解决方案。这些解决方案有助于理解复杂的非线性物理现象和分数阶微分方程的机理。在这些解决方案中，有些是首次发现。

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《Mathematical Problems in Engineering》 |2015年第2期|871635.1-871635.6|共6页
作者
Abdel-Salam Emad A. -B.; Al-Muhiameed Zeid I. A.;
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Northern Border Univ, Fac Sci, Dept Math, Ar Ar 91431, Saudi Arabia.;

Qassim Univ, Fac Sci, Dept Math, Buraydah 51452, Saudi Arabia.;

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Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation

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