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Numerical Solution for Fractional-Order Differential Systems with Time-Domain and Frequency-Domain Methods

Ke Xiao Shang-Bo Zhou Wei-Wei Zhang

中国电子科技2008,Vol.6Issue(3):294-298,5.
中国电子科技2008,Vol.6Issue(3):294-298,5.

Numerical Solution for Fractional-Order Differential Systems with Time-Domain and Frequency-Domain Methods

Numerical Solution for Fractional-Order Differential Systems with Time-Domain and Frequency-Domain Methods

Ke Xiao 1Shang-Bo Zhou 1Wei-Wei Zhang1

作者信息

  • 1. Computer Dcpertment of Chongqing University,Chongqing, 400044, China
  • 折叠

摘要

Abstract

For a general nonlinear fractional-order differential equation, the numerical solution is a good way to approximate the trajectory of such systems. In this paper, a novel algorithm for numerical solution of fractional-order differential equations based on the definition of Grunwald-Letnikov is presented. The results of numerical solution by using the novel method and the frequency-domain method are compared, and the limitations of frequency-domain method arediscussed.

关键词

Analytical solution/frequency domain/fractional order/numerical solution/time domain

Key words

Analytical solution/frequency domain/fractional order/numerical solution/time domain

分类

信息技术与安全科学

引用本文复制引用

Ke Xiao,Shang-Bo Zhou,Wei-Wei Zhang..Numerical Solution for Fractional-Order Differential Systems with Time-Domain and Frequency-Domain Methods[J].中国电子科技,2008,6(3):294-298,5.

基金项目

This work was supported by the Natural Science Foundation of CQ CSTC underGrant No. 2007BB2161. ()

中国电子科技

1674-862X

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