Construction of new exact solutions to time-fractional two-component evolutionary system of order 2 via different methods

被引：6

作者：

Wang, Linjun ^{[1
]}

Shen, Wei ^{[1
]}

Meng, Yiping ^{[2
]}

Chen, Xumei ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China

[2] Jiangsu Univ Sci & Technol, Sch Sci, Zhenjiang 212003, Peoples R China

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Exact solutions; Modified Riemann-Liouville derivative; The time-fractional two-component evolutionary system of order 2; (G'/G)-EXPANSION METHOD; APPROXIMATE SOLUTIONS; EQUATIONS; CLASSIFICATION; TRANSFORM; CALCULUS; MODELS; SERIES; KDV;

D O I：

10.1007/s11082-018-1561-6

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper is concerned with the applications of five different methods including the sub-equation method, the tanh method, the modified Kudryashov method, the -expansion method and the Exp-function method to construct exact solutions of time-fractional two-component evolutionary system of order 2. We first convert this type of fractional equations to the nonlinear ordinary differential equations by means of fractional complex transform. Then, the five methods are adopted to solve the nonlinear ordinary differential equations. As a result, some new exact solutions are obtained. It is also shown that each of the considered methods can be used as an alternative for solving fractional differential equations.

引用

页数：15

共 30 条

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