Solutions of a fractional oscillator by using differential transform method

被引：69
作者：
Al-rabtah, Adel [1 ]
Erturk, Vedat Suat [2 ]
Momani, Shaher [1 ]
机构：
[1] Mutah Univ, Dept Math & Stat, Al Karak, Jordan
[2] Ondokuz Mayis Univ, Dept Math, Fac Arts & Sci, TR-55139 Samsun, Turkey
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 03期
关键词：
Differential transform method; Fractional oscillator; Fractional differential equation; Caputo fractional derivative; Numerical solutions; EQUATIONS; SYSTEMS;
D O I：
10.1016/j.camwa.2009.06.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present an efficient algorithm for solving a fractional oscillator using the differential transform method. The fractional derivatives are described in the Caputo sense. The application of differential transform method, developed for differential equations of integer order, is extended to derive approximate analytical solutions of a fractional oscillator. The method provides the solution in the form of a rapidly convergent series. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1356 / 1362
页数：7
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