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Bäcklund Transformation of Fractional Riccati Equation and Infinite Sequence Solutions of Nonlinear Fractional PDEs

Author

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  • Bin Lu

Abstract

The Bäcklund transformation of fractional Riccati equation with nonlinear superposition principle of solutions is employed to establish the infinite sequence solutions of nonlinear fractional partial differential equations in the sense of modified Riemann-Liouville derivative. To illustrate the reliability of the method, some examples are provided.

Suggested Citation

  • Bin Lu, 2014. "Bäcklund Transformation of Fractional Riccati Equation and Infinite Sequence Solutions of Nonlinear Fractional PDEs," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, January.
    • Handle: RePEc:hin:jnlaaa:572052
    DOI: 10.1155/2014/572052
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    Cited by:

    1. Wei Li & Huizhang Yang & Bin He, 2014. "Exact Solutions of the Space‐Time Fractional Bidirectional Wave Equations Using the (G′/G)‐Expansion Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Abdullah Sonmezoglu, 2015. "Exact Solutions for Some Fractional Differential Equations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).

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