NON-INSTANTANEOUS IMPULSES IN CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

被引：47
|
作者：
Agarwal, Ravi [1 ]
Hristova, Snezhana [2 ]
O'Regan, Donal [3 ]
机构：
[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[2] Univ Plovdiv Paisii Hilendarski, Dept Appl Math, Plovdiv, Bulgaria
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 03期
关键词：
non-instantaneous impulses; Caputo fractional differential equation; BOUNDARY-VALUE PROBLEM; STABILITY; EXISTENCE; ORDER;
D O I：
10.1515/fca-2017-0032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recent modeling of real world phenomena give rise to Caputo type fractional order differential equations with non-instantaneous impulses. The main goal of the survey is to highlight some basic points in introducing non-instantaneous impulses in Caputo fractional differential equations. In the literature there are two approaches in interpretation of the solutions. Both approaches are compared and their advantages and disadvantages are illustrated with examples. Also some existence results are derived.
引用
收藏
页码：595 / 622
页数：28
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