中立型分数阶时滞微分系统解的存在唯一性(英文)  

Existence and Uniqueness Solutions to Neutral Fractional Systems with Time Delay

作　　者：程媛媛[1] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2013年第3期515-520,共6页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11071001);the Doctoral Fund of Ministry of Education of China(20093401110001);the Major Program of Educational Commission of Anhui Province of China(KJ2010ZD02);the 211Project of Anhui University(KJQN1001)

摘　　要：文章给出含时滞分数阶微分系统在初值条件下解的存在唯一性理论,进一步得到系统的有限时域稳定性的充分条件,数值实例证明理论方法的有效性.This paper presented existence and uniqueness theorems for the initial value problem of neutral fractional systems with time-delay. Moreover,sufficient conditions for the finite time stability for the system are obtained. Finally, illustrative examples demonstrate the effectiveness of the proposed method.

关 键 词：中立型分数阶系统 时滞 存在唯一性 有限时域稳定性 

分 类 号：O175[理学—数学]