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The Extended Fractional -Expansion Method and Its Applications to a Space-Time Fractional Fokas Equation

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  • Yunmei Zhao
  • Yinghui He

Abstract

Based on a fractional subequation and the properties of the modified Riemann-Liouville fractional derivative, we propose a new analytical method named extended fractional -expansion method for seeking traveling wave solutions of fractional partial differential equations. To illustrate the effectiveness of the method, 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.

Suggested Citation

  • Yunmei Zhao & Yinghui He, 2017. "The Extended Fractional -Expansion Method and Its Applications to a Space-Time Fractional Fokas Equation," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-9, September.
    • Handle: RePEc:hin:jnlmpe:8251653
    DOI: 10.1155/2017/8251653
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