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2014 Uniform Stability of a Class of Fractional-Order Nonautonomous Systems with Multiple Time Delays
Tao Zou, Jianfeng Qu, Yi Chai, Maoyun Guo, Congcong Liu
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/808293

Abstract

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.

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Tao Zou. Jianfeng Qu. Yi Chai. Maoyun Guo. Congcong Liu. "Uniform Stability of a Class of Fractional-Order Nonautonomous Systems with Multiple Time Delays." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/808293

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010758
MathSciNet: MR3170449
Digital Object Identifier: 10.1155/2014/808293

Rights: Copyright © 2014 Hindawi

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