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

Author

Listed:
  • Emad A.-B. Abdel-Salam
  • Zeid I. A. Al-Muhiameed

Abstract

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.

Suggested Citation

  • Emad A.-B. Abdel-Salam & Zeid I. A. Al-Muhiameed, 2015. "Analytic Solutions of the Space-Time Fractional Combined KdV-mKdV Equation," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-6, February.
  • Handle: RePEc:hin:jnlmpe:871635
    DOI: 10.1155/2015/871635
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