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In this paper, we apply a fractional $$\frac{G'}{G^2}$$G′G2-expansion method to look exact solutions of nonlinear fractional differential equations. A fractional complex transformation is used to convert a nonlinear FDE with… Click to show full abstract
In this paper, we apply a fractional $$\frac{G'}{G^2}$$G′G2-expansion method to look exact solutions of nonlinear fractional differential equations. A fractional complex transformation is used to convert a nonlinear FDE with Jumarie modified Riemann–Liouville derivative into its ordinary differential equation. This method is applied to two nonlinear FDEs namely, the time fractional Bogoyavlenskii equation and the space-time fractional Kundu–Eckhaus equation. It is shown that the considered method is very powerful and efficient to solve many nonlinear FDEs.
Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2017
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