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

Tao Zou | Zendy; Jianfeng Qu | Zendy; Yi Chai | Zendy; Maoyun Guo | Zendy; Congcong Liu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Tao Zou,

Jianfeng Qu,

Yi Chai,

Maoyun Guo,

Congcong Liu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/808293

Subject(s) - mathematics , uniqueness , stability (learning theory) , class (philosophy) , fractional calculus , order (exchange) , differential equation , mathematical analysis , control theory (sociology) , control (management) , computer science , finance , artificial intelligence , machine learning , economics

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. Asufficient 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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research