Symbolic computation of exact solutions for fractional differential-difference equation models

被引：0

作者：

Aslan, Ismail ^{[1
]}

机构：

[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2015年 / 20卷 / 01期

关键词：

fractional calculus; differential-difference equation; (G '/G)-expansion method; (G'/G)-EXPANSION METHOD; LATTICE; TRANSFORM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the present study is to extend the (G'/G)-expansion method to fractional differential-difference equations of rational type. Particular time-fractional models are considered to show the strength of the method. Three types of exact solutions are observed: hyperbolic, trigonometric and rational. Exact solutions in terms of topological solitons and singular periodic functions are also obtained. As far as we are aware, our results have not been published elsewhere previously.

引用

页码：132 / 144

页数：13

共 40 条

[21] Hirota bilinear equations with linear subspaces of solutions [J].

Ma, Wen-Xiu ;

Zhang, Yi ;

Tang, Yaning ;

Tu, Junyi .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (13) :7174-7183

[22] A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo-Miwa equation [J].

Ma, Wen-Xiu ;

Lee, Jyh-Hao .

CHAOS SOLITONS & FRACTALS, 2009, 42 (03) :1356-1363

[23] Rational solutions of the Toda lattice equation in Casoratian form [J].

Ma, WX ;

You, YC .

CHAOS SOLITONS & FRACTALS, 2004, 22 (02) :395-406

[24] Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation [J].

Ma, WX ;

Fuchssteiner, B .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1996, 31 (03) :329-338

[25] NEW DISCRETE MODIFIED KDV EQUATION [J].

NARITA, K .

PROGRESS OF THEORETICAL PHYSICS, 1991, 86 (04) :817-824

[26] Special solutions to nonlinear difference-differential equations [J].

Narita, K .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 205 (01) :273-279

[27] Solutions for a system of difference-differential equations related to the self-dual network equation [J].

Narita, K .

PROGRESS OF THEORETICAL PHYSICS, 2001, 106 (06) :1079-1096

[28] A generalized differential transform method for linear partial differential equations of fractional order [J].

Odibat, Zaid ;

Momani, Shaher .

APPLIED MATHEMATICS LETTERS, 2008, 21 (02) :194-199

[29] The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics [J].

Odibat, Zaid ;

Momani, Shaher .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) :2199-2208

[30]

Pasta J., 1965, Studies of nonlinear problems I, Los Alamos Report No. LA-1940

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