A Numerical Method for Delayed Fractional-Order Differential Equations: Based on G-L Definition

被引：94

作者：

Wang, Zhen ^{[1
,2
]}

Huang, Xia ^{[3
]}

Zhou, Jianping ^{[4
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266590, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Key Lab Robot & Intelligent Technol, Qingdao 266590, Peoples R China

[4] Anhui Univ Technol, Sch Comp Sci, Maanshan 243002, Peoples R China

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Delay; fractional-order differential equations; Grunwald-Letnikov derivative; PREDICTOR-CORRECTOR APPROACH; SYSTEM;

D O I：

10.12785/amis/072L22

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, 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 the Grunwald-Letnikov derivative. The detailed error analysis for this algorithm is given, meanwhile, the convergence of the iteration algorithm is proved. Compared with the exact analytical solution, a numerical example is provided to illustrate the effectiveness of the proposed method.

引用

页码：525 / 529

页数：5

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