Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations

被引：44
作者：
El-Sayed, A. M. A. [1 ]
El-Kalla, I. L. [2 ]
Ziada, E. A. A. [3 ]
机构：
[1] Univ Alexandria, Fac Sci, Dept Math, Alexandria, Egypt
[2] Mansoura Univ, Fac Engn, Math & Engn Phys Dept, Mansoura, Egypt
[3] Delta Univ Sci & Technol, Fac Engn, Gamasa, Egypt
来源：
APPLIED NUMERICAL MATHEMATICS | 2010年 / 60卷 / 08期
关键词：
Nonlinear fractional differential equation; Caputo derivative; Fixed point theorem; Convergence analysis; Adomian method; Proposed numerical method; Bagley-Torvik equation; DECOMPOSITION; CONVERGENCE;
D O I：
10.1016/j.apnum.2010.02.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned here with a multi-term nonlinear fractional differential equation (FDE). Two methods are used to solve this type of equations. The first is an analytical method; Adomian decomposition method (ADM). Convergence analysis of this method is discussed. This analysis is used to estimate the maximum absolute truncated error of Adomian's series solution. The second method is a proposed numerical method (PNM). A comparison between the results of the two methods is given. One of the important applications of these equations is Bagley-Torvik equation. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
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收藏
页码：788 / 797
页数：10
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