Existence and exponential stability for neutral stochastic fractional differential equations with impulses driven by Poisson jumps

被引：18
|
作者：
Chadha, Alka [1 ]
Bora, Swaroop Nandan [1 ]
机构：
[1] Indian Inst Technol Guwahati, Dept Math, Gauhati, India
来源：
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2018年 / 90卷 / 05期
关键词：
Caputo derivative; exponential stability; resolvent operator; neutral stochastic fractional differential equation; impulsive conditions; Poisson jump; EVOLUTION EQUATIONS; ASYMPTOTIC STABILITY; MILD SOLUTIONS; APPROXIMATION; DELAYS;
D O I：
10.1080/17442508.2017.1402899
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is mainly concerned with a class of neutral stochastic fractional integro-differential equation with Poisson jumps. First, the existence and uniqueness for mild solution of an impulsive stochastic system driven by Poisson jumps is established by using the Banach fixed point theorem and resolvent operator. The exponential stability in the pth moment for mild solution to neutral stochastic fractional integro-differential equations with Poisson jump is obtained by establishing an integral inequality.
引用
收藏
页码：663 / 681
页数：19
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