Solving STO And KD Equations with Modified Riemann-Liouville Derivative Using Improved (G’/G)-expansion Function Method

This present article applies fractional complex transformation to convert nonlinear fractional evolution equations to nonlinear ordinary differential equations, and obtain the exact solitary wave solutions of space-time fractional SharmaTasso-Olever (STO) and Konopelchenko-Dubrovsky (KD) equations by using the improved ( G ′ G )-expansion function method, respectively. The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. The results show that the method is efficient and powerful for solving wide classes of nonlinear fractional evolution equations.

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