Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects

被引：8

作者：

Ma, Yong-Ki ^{[1
]}

Arthi, G. ^{[2
]}

Anthoni, S. Marshal ^{[3
]}

机构：

[1] Kongju Natl Univ, Dept Appl Math, Chungcheongnam Do, South Korea

[2] PSGR Krishnammal Coll Women, Dept Math, Coimbatore, Tamil Nadu, India

[3] Anna Univ, Dept Math, Reg Ctr, Coimbatore, Tamil Nadu, India

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

新加坡国家研究基金会;

关键词：

Existence; Exponential stability; Stochastic system; Impulsive; Fractional Brownian motion; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; HILBERT-SPACES; INFINITE DELAY; DRIVEN; EXISTENCE; SYSTEMS; CONTROLLABILITY; UNIQUENESS; CRITERIA;

D O I：

10.1186/s13662-018-1562-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by employing the fractional power of operators, semigroup theory, and fixed point strategy we obtain some new criteria ensuring the existence and exponential stability of a class of impulsive neutral stochastic integrodifferential equations driven by a fractional Brownian motion. We establish some new sufficient conditions that ensure the exponential stability of mild solution in the mean square moment by utilizing an impulsive integral inequality. Also, we provide an example to show the efficiency of the obtained theoretical result.

引用

页数：20

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