Approximate analytical solution for the fractional modified KdV by differential transform method

被引：62
|
作者：
Kurulay, Muhammet [1 ]
Bayram, Mustafa [2 ]
机构：
[1] Yildiz Tekn Univ, Fac Art & Sci, Dept Math, TR-34210 Davutpasa, Turkey
[2] Fatih Univ, Fac Arts & Sci, Dept Math, TR-34500 Istanbul, Turkey
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 07期
关键词：
Fractional differential equation; Caputo fractional derivative; Differential transform method; fmKdV; fKdV; ADOMIAN DECOMPOSITION METHOD; HOMOTOPY ANALYSIS METHOD; GENERALIZED TAYLORS FORMULA; DIFFUSION-WAVE EQUATION; NUMERICAL-SOLUTIONS; BURGERS EQUATION; ORDER; SYSTEM;
D O I：
10.1016/j.cnsns.2009.07.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the fractional modified Korteweg-de Vries equation (fmKdV) and fKdV are introduced by fractional derivatives. The approach rest mainly on two-dimensional differential transform method (DTM) which is one of the approximate methods. The method can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented. Crown Copyright (c) 2009 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：1777 / 1782
页数：6
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