Exact solutions for nonlinear partial fractional differential equations

doi:10.1088/1674-1056/21/11/110204

Abstract In this article, we use the fractional complex transformation to convert the nonlinear partial fractional differential equations to the nonlinear ordinary differential equations. We use the improved (G'/G)-expansion function method to calculate the exact solutions for the time and space fractional derivatives Foam Drainage equation and the time and space fractional derivatives nonlinear KdV equation. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.

Keywords: fractional calculus complex transformation modified Riemann-Liouville derivative improved (G'/G)-expansion function method

Received: 11 February 2012
Revised: 17 May 2012
Accepted manuscript online:

PACS:

02.30.Jr

(Partial differential equations)

Corresponding Authors: Khaled A. Gepreel
E-mail: kagepreel@yahoo.com

Cite this article:

Khaled A. Gepreel, Saleh Omran Exact solutions for nonlinear partial fractional differential equations 2012 Chin. Phys. B 21 110204

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Exact solutions for nonlinear partial fractional differential equations

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