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

被引：0

作者：

Yong-Ki Ma

G. Arthi

S. Marshal Anthoni

机构：

[1] Kongju National University,Department of Applied Mathematics

[2] PSGR Krishnammal College for Women,Department of Mathematics

[3] Anna University—Regional Centre,Department of Mathematics

来源：

Advances in Difference Equations | / 2018卷

关键词：

Existence; Exponential stability; Stochastic system; Impulsive; Fractional Brownian motion; 60H15; 60J65; 34K40; 34A37;

D O I：

暂无

中图分类号：

学科分类号：

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

共 50 条

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