Exact Solutions for Some Fractional Partial Differential Equations by the Method

Bin Zheng

Mathematical Problems in Engineering, 2013, vol. 2013, 1-13

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:826369

DOI: 10.1155/2013/826369

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