MITTAG-LEFFLER STABILITY OF IMPULSIVE DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

被引：48
|
作者：
Stamova, Ivanka M. [1 ]
机构：
[1] Univ Texas San Antonio, Dept Math, One UTSA Circle, San Antonio, TX 78249 USA
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2015年 / 73卷 / 03期
关键词：
Mittag-Leffler stability; impulsive fractional differential equations; Lyapunov functions; comparison principle;
D O I：
10.1090/qam/1394
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a nonlinear system of impulsive differential equations of fractional order. Applying the definition of Mittag-Leffler stability introduced by Podlubny and his co-authors and the fractional Lyapunov method, we give sufficient conditions for Mittag-Leffler stability and uniform asymptotic stability of the zero solution of the system under consideration.
引用
收藏
页码：525 / 535
页数：11
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