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Chin. Phys. B, 2013, Vol. 22(11): 110202    DOI: 10.1088/1674-1056/22/11/110202
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Exact solutions of nonlinear fractional differential equations by (G’/G)-expansion method

Ahmet Bekira, Özkan Günerb
a Eskisehir Osmangazi University, Art-Science Faculty, Department of Mathematics-Computer, Eskisehir, Turkey;
b Dumlupínar University, School of Applied Sciences, Department of Management Information Systems, Kutahya, Turkey
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:

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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