Exact solutions of nonlinear fractional differential equations by (G’/G)-expansion method

doi:10.1088/1674-1056/22/11/110202

Abstract In this paper, we use the fractional complex transform and the (G’/G)-expansion method to study the nonlinear fractional differential equations and find the exact solutions. The fractional complex transform is proposed to convert a partial fractional differential equation with Jumarie’s modified Riemann–Liouville derivative into its ordinary differential equation. It is shown that the considered transform and method are very efficient and powerful in solving wide classes of nonlinear fractional order equations.

Keywords: (G’/G)-expansion method time-fractional Burgers equation fractional-order biological population model space–time fractional Whitham–Broer–Kaup equations

Received: 04 March 2013
Revised: 04 April 2013
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.70.Wz	(Symbolic computation (computer algebra))
	05.45.Yv	(Solitons)
	94.05.Fg	(Solitons and solitary waves)

Corresponding Authors: Ahmet Bekir
E-mail: abekir@ogu.edu.tr

Cite this article:

Ahmet Bekir, Özkan Güner Exact solutions of nonlinear fractional differential equations by (G’/G)-expansion method 2013 Chin. Phys. B 22 110202

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Exact solutions of nonlinear fractional differential equations by (G’/G)-expansion method

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