Cite this article:
Ahmet Bekir, Özkan Güner. Exact solutions of nonlinear fractional differential equations by (G’/G)-expansion methodJ. Chin. Phys. B, 2013, 22(11): 110202.
| Ahmet Bekir, Özkan Güner. Exact solutions of nonlinear fractional differential equations by (G’/G)-expansion methodJ. Chin. Phys. B, 2013, 22(11): 110202. |
Exact solutions of nonlinear fractional differential equations by (G’/G)-expansion method
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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. -
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