Asymptotic stability of fractional impulsive neutral stochastic partial integro-differential equations with infinite delay

被引:29
|
作者
Bahuguna, D. [1 ]
Sakthivel, R. [2 ]
Chadha, A. [1 ]
机构
[1] Indian Inst Technol Kanpur, Dept Math, Kanpur, Uttar Pradesh, India
[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
关键词
Stochastic integro-differential equations; impulsive conditions; solution operator; asymptotic stability; fixed point theorem; 34A37; 60H15; 35R60; 93E15; 26A33; DIFFERENTIAL-EQUATIONS; MILD SOLUTIONS; EVOLUTION-EQUATIONS; EXISTENCE;
D O I
10.1080/07362994.2016.1249285
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we investigate the existence and asymptotic stability in p-th moment of a mild solution to a class of neutral stochastic integro-differential equation of fractional order involving non-instantaneous impulses with infinite delay in a Hilbert space. A new set of sufficient conditions proving existence and asymptotic stability of mild solution is derived by utilizing solution operator, functional analysis, stochastic analysis and fixed point technique. Finally, an example is provided to illustrate the obtained abstract result.
引用
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页码:63 / 88
页数:26
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