Local fractional differential equations by the Exp-function method

被引：12
|
作者：
Jia, Zhijuan [1 ]
Hu, Mingsheng [2 ]
Chen, Qiaoling [3 ]
Jai, Suimin [1 ]
机构：
[1] Zhengzhou Normal Univ, Coll Informat Sci & Technol, Zhengzhou, Peoples R China
[2] Wuhan Univ Technol, Coll Comp, Wuhan 430070, Peoples R China
[3] Huazhong Univ Sci & Technol, Inst Syst Engn, Wuhan 430074, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW | 2015年 / 25卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Exp-function method; Fractional complex transform; COMPLEX TRANSFORM;
D O I：
10.1108/HFF-05-2014-0144
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Purpose - The fractional complex transform is used to convert the fractional differential equation to its differential partner and the exp-function method is to solve the resultant equation. The exact solutions for the equation are successfully established. The paper aims to discuss these issues. Design/methodology/approach - Use the chain rule of the local fractional derivative and the exp-function method. Findings - Some new exact solutions for the fractional differential equation are successfully established, and the process of the solution is extremely simple and remarkably accessible. Originality/value - The fractional complex transform is used to convert the fractional differential equation to its differential partner and the exp-function method is to solve the resultant equation.
引用
收藏
页码：1845 / 1849
页数：5
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