Uniform Stability of a Class of Fractional-Order Nonautonomous Systems with Multiple Time Delays
Joint Authors
Liu, Congcong
Qu, Jianfeng
Chai, Yi
Zou, Tao
Guo, Maoyun
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-12
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In mathematics, to a large extent, control theory addresses the stability of solutions of differential equations, which can describe the behavior of dynamic systems.
In this paper, a class of fractional-order nonautonomous systems with multiple time delays modeled by differential equations is considered.
A sufficient condition is established for the existence and uniqueness of solutions for such systems involving Caputo fractional derivative, and the uniform stability of solution is studied.
At last, two examples are given to demonstrate the applicability of our results.
American Psychological Association (APA)
Zou, Tao& Qu, Jianfeng& Chai, Yi& Guo, Maoyun& Liu, Congcong. 2014. Uniform Stability of a Class of Fractional-Order Nonautonomous Systems with Multiple Time Delays. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-499728
Modern Language Association (MLA)
Zou, Tao…[et al.]. Uniform Stability of a Class of Fractional-Order Nonautonomous Systems with Multiple Time Delays. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-499728
American Medical Association (AMA)
Zou, Tao& Qu, Jianfeng& Chai, Yi& Guo, Maoyun& Liu, Congcong. Uniform Stability of a Class of Fractional-Order Nonautonomous Systems with Multiple Time Delays. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-499728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499728