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Exact Solutions for Some Fractional Partial Differential Equations by the Method

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  • Bin Zheng

Abstract

We apply the method to seek exact solutions for several fractional partial differential equations including the space-time fractional (2 + 1)-dimensional dispersive long wave equations, the (2 + 1)-dimensional space-time fractional Nizhnik-Novikov-Veselov system, and the time fractional fifth-order Sawada-Kotera equation. The fractional derivative is defined in the sense of modified Riemann-liouville derivative. Based on a certain variable transformation, these fractional partial differential equations are transformed into ordinary differential equations of integer order. With the aid of mathematical software, a variety of exact solutions for them are obtained.

Suggested Citation

  • Bin Zheng, 2013. "Exact Solutions for Some Fractional Partial Differential Equations by the Method," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-13, October.
    • Handle: RePEc:hin:jnlmpe:826369
    DOI: 10.1155/2013/826369
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    Cited by:

    1. Patra, A. & Baliarsingh, P. & Dutta, H., 2022. "Solution to fractional evolution equation using Mohand transform," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 557-570.

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