A Numerical Method for Delayed Fractional-Order Differential Equations

被引：118
|
作者：
Wang, Zhen [1 ,2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266590, Peoples R China
[2] Nanjing Univ, State Key Lab Novel Software Technol, Nanjing 210093, Jiangsu, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
PREDICTOR-CORRECTOR APPROACH; SYSTEM; DERIVATIVES; CHAOS;
D O I：
10.1155/2013/256071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical method for nonlinear fractional-order differential equations with constant or time-varying delay is devised. The order here is an arbitrary positive real number, and the differential operator is with the Caputo definition. The general Adams-Bashforth-Moulton method combined with the linear interpolation method is employed to approximate the delayed fractional-order differential equations. Meanwhile, the detailed error analysis for this algorithm is given. In order to compare with the exact analytical solution, a numerical example is provided to illustrate the effectiveness of the proposed method.
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页数：7
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