Non-Instantaneous Impulses in Caputo Fractional Differential Equations

被引：0
|
作者：
Ravi Agarwal
Snezhana Hristova
Donal O’Regan
机构：
[1] Texas A&M University-Kingsville,Department of Mathematics
[2] University of Plovdiv Paisii Hilendarski,Department of Applied Mathematics
[3] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
来源：
Fractional Calculus and Applied Analysis | 2017年 / 20卷
关键词：
Primary 34A34; Secondary 34A08; 34A37; non-instantaneous impulses; Caputo fractional differential equation;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：595 / 622
页数：27
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