应用（G’/G2）-展开法求解非线性分数阶微分方程

康周正

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

数学季刊 >

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

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

应用（G^’/G²）-展开法求解非线性分数阶微分方程

展开

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.

收稿日期: 2015-12-23

网络出版日期: 2020-10-22

基金资助

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

收起

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

Expand

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)；

Fold

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.

关键词： time-fractional Burgers equation; space-fractional coupled Konopelchenko- Dubrovsky equations; exact solutions

本文引用格式

康周正 . 应用（G^’/G²）-展开法求解非线性分数阶微分方程[J]. 数学季刊, 2017 , 32(3) : 261 -270 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.03.005

Abstract

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

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract