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Applications of (G1/G2)-expanslon Method in Solving Nonlinear Fractional Differential Equations 被引量:1

Applications of (G1/G2)-expanslon Method in Solving Nonlinear Fractional Differential Equations
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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.
机构地区 College of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 2017年第3期261-270,共10页 数学季刊(英文版)
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)
关键词 time-fractional Burgers equation space-fractional coupled Konopelchenko-Dubrovsky equations exact solutions time-fractional Burgers equation space-fractional coupled Konopelchenko-Dubrovsky equations exact solutions
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