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The Extended Fractional Subequation Method for Nonlinear Fractional Differential Equations

Author

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  • Jianping Zhao
  • Bo Tang
  • Sunil Kumar
  • Yanren Hou

Abstract

An extended fractional subequation method is proposed for solving fractional differential equations by introducing a new general ansätz and Bäcklund transformation of the fractional Riccati equation with known solutions. Being concise and straightforward, this method is applied to the space-time fractional coupled Burgers’ equations and coupled MKdV equations. As a result, many exact solutions are obtained. It is shown that the considered method provides a very effective, convenient, and powerful mathematical tool for solving fractional differential equations.

Suggested Citation

  • Jianping Zhao & Bo Tang & Sunil Kumar & Yanren Hou, 2012. "The Extended Fractional Subequation Method for Nonlinear Fractional Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-11, December.
    • Handle: RePEc:hin:jnlmpe:924956
    DOI: 10.1155/2012/924956
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    Cited by:

    1. Neslihan Ozdemir & Aydin Secer & Mustafa Bayram, 2019. "The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers’ Equations with Time-Fractional Derivative," Mathematics, MDPI, vol. 7(6), pages 1-15, May.

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