Journal of Applied Mathematics

Uniform Stability of a Class of Fractional-Order Nonautonomous Systems with Multiple Time Delays

Tao Zou, Jianfeng Qu, Yi Chai, Maoyun Guo, and Congcong Liu

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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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J. Appl. Math., Volume 2014 (2014), Article ID 808293, 8 pages.

First available in Project Euclid: 2 March 2015

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

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