IMPULSIVE FRACTIONAL FUNCTIONAL DIFFERENTIAL SYSTEMS AND LYAPUNOV METHOD FOR THE EXISTENCE OF ALMOST PERIODIC SOLUTIONS

被引：13

作者：

Stamov, Gani Tr. ^{[1
]}

Stamova, Ivanka M. ^{[2
]}

机构：

[1] Tech Univ Sofia, Dept Math & Phys, Sliven 8800, Bulgaria

[2] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2015年 / 75卷 / 01期

关键词：

fractional functional differential systems; almost periodic solutions; impulses; comparison principle; Lyapunov method;

D O I：

10.1016/S0034-4877(15)60025-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the existence of almost periodic solutions for a class of impulsive fractional functional differential systems is investigated. The investigations are carried out by using a new fractional comparison principle, coupled with the fractional Lyapunov method. The stability behaviour of the almost periodic solutions is also considered, extending the corresponding theory of impulsive functional differential equations.

引用

页码：73 / 84

页数：12

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