AN EXPLANATION OF LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD AND ITS APPLICATION TO LOCAL FRACTIONAL MODIFIED KORTEWEG-DE VRIES EQUATION

被引:13
作者
Wang, Yan [1 ,2 ]
Zhang, Yu-Feng [1 ]
Liu, Zhen-Jiang [3 ]
机构
[1] China Univ Min & Technol, Sch Math, Xuzhou, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China
[3] Qujing Normal Univ, Coll Math & Stat, Qujing, Peoples R China
来源
THERMAL SCIENCE | 2018年 / 22卷 / 01期
关键词
modified Korteweg-de Vries equation; local fractional derivative; local fractional variational iteration method; series solution; HEAT-CONDUCTION; TIME;
D O I
10.2298/TSCI160501143W
中图分类号
O414.1 [热力学];
学科分类号
摘要
The variational iteration method was originally proposed to solve non-linear problems of differential equations, this paper shows that it is also a powerful mathematical tool to local fractional differential equations. Two local fractional modified Korteweg-de Vries equations are used as examples to reveal the simple solution process.
引用
收藏
页码:23 / 27
页数:5
相关论文
共 23 条
[1]  
[Anonymous], 2013, Nonlinear Sci. Lett. A
[2]  
Ansari A.H., 2017, NONLINEAR SCI LETT A, V8, P187
[3]  
Guner O., 2017, Nonlinear Science Letters A, V8, P41
[4]  
He J.-H., 2017, NONLINEAR SCI LETT A, V8, P121
[5]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
[6]   A Tutorial Review on Fractal Spacetime and Fractional Calculus [J].
He, Ji-Huan .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2014, 53 (11) :3698-3718
[7]   A short remark on fractional variational iteration method [J].
He, Ji-Huan .
PHYSICS LETTERS A, 2011, 375 (38) :3362-3364
[8]   ON FRACTAL SPACE-TIME AND FRACTIONAL CALCULUS [J].
Hu, Yue ;
He, Ji-Huan .
THERMAL SCIENCE, 2016, 20 (03) :773-777
[9]  
Khaleghizadeh S., 2017, NONLINEAR SCI LETT A, V8, P66
[10]   EXACT SOLUTIONS OF TIME-FRACTIONAL HEAT CONDUCTION EQUATION BY THE FRACTIONAL COMPLEX TRANSFORM [J].
Li, Zheng-Biao ;
Zhu, Wei-Hong ;
He, Ji-Huan .
THERMAL SCIENCE, 2012, 16 (02) :335-338