Applications of （G’/G2）-expansion Method in Solving Nonlinear Fractional Differential Equations

KANG Zhou-zheng

doi:10.13371/j.cnki.chin.q.j.m.2017.03.005

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 3: 261 - 270

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.03.005

Applications of （G^’/G²）-expansion Method in Solving Nonlinear Fractional Differential Equations

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College of Mathematics, Inner Mongolia University for Nationalities

KANG Zhou-zheng(1985-), male, native of Yichun, Heilongjiang, a lecturer of Inner Mongolia University for Nationalities, M.S.D., engages in nonlinear partial di®erential equations.

Received date: 2015-12-23

Online published: 2020-10-22

Supported by

Supported by the National Natural Science Foundation of China(11462019)； Supported by the Scientific Research Foundation of Inner Mongolia University for Nationalities(NMDYB1750,NMDGP1713)；

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Abstract

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.

Key words： time-fractional Burgers equation; space-fractional coupled Konopelchenko- Dubrovsky equations; exact solutions

Cite this article

KANG Zhou-zheng . Applications of （G^’/G²）-expansion Method in Solving Nonlinear Fractional Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(3) : 261 -270 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.03.005

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