摘要
In the current paper, based on fractional complex transformation, the GG2-expansion method which is used to solve differential equations of integer order is developed for finding exact solutions of nonlinear fractional differential equations with Jumarie's modified Riemann-Liouville derivative. And then, time-fractional Burgers equation and space-fractional coupled Konopelchenko-Dubrovsky equations are provided to show that this method is effective in solving nonlinear fractional differential equations.
In the current paper, based on fractional complex transformation, the (G1/G2)- expansion method which is used to solve differential equations of integer order is devel- oped for finding exact solutions of nonlinear fractional differential equations with Jumarie's modified Riemann-Liouville derivative. And then, time-fractional Burgers equation and space-fractional coupled Konopelchenko-Dubrovsky equations are provided to show that this method is effective in solving nonlinear fractional differential equations.
基金
Supported by the National Natural Science Foundation of China(11462019)
Supported by the Scientific Research Foundation of Inner Mongolia University for Nationalities(NMDYB1750, NMDGP1713)