A MODIFIED EXP-FUNCTION METHOD FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

被引：32
|
作者：
Tian, Yi [1 ,2 ]
Liu, Jun [3 ,4 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Data Sci & Applicat, Hohhot, Peoples R China
[2] Inner Mongolia Autonomous Reg Engn & Technol Res, Big Data Based Software Serv, Hohhot, Peoples R China
[3] Inner Mongolia Univ Technol, Sch Mat Sci & Engn, Hohhot, Peoples R China
[4] Inner Mongolia Key Lab Graphite & Graphene Energy, Hohhot, Peoples R China
来源：
THERMAL SCIENCE | 2021年 / 25卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Wu's method; exp-function method; exact solution; solitary solution; VARIATIONAL ITERATION METHOD; HOMOTOPY PERTURBATION METHOD; FRACTAL CALCULUS; EXPLANATION; TRANSFORM;
D O I：
10.2298/TSCI200428017T
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
This paper proposes a novel exponential rational function method, a modification of the well-known exp-function method, to find exact solutions of the time fractional Cahn-Allen equation and the time fractional Phi-4 equation. The solution procedure is reduced to solve a system of algebraic equations, which is then solved by Wu's method. The results show that the present method is effective, and can be applied to other fractional differential equations.
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页码：1237 / 1241
页数：5
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