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.

引用

页数：7

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