Moment stability via resolvent operators of fractional stochastic differential inclusions driven by fractional Brownian motion

被引：29

作者：

Tamilalagan, P. ^{[1
]}

Balasubramaniam, P. ^{[1
]}

机构：

[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 305卷

关键词：

Asymptotic stability; Fixed point theorem; Fractional Brownian motion; Fractional calculus; Stochastic differential inclusions; INTEGRODIFFERENTIAL INCLUSIONS; EVOLUTION-EQUATIONS; INFINITE DELAY; CONTROLLABILITY; EXISTENCE;

D O I：

10.1016/j.amc.2017.02.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, we consider a class of fractional stochastic differential inclusions driven by fractional Brownian motion in Hilbert space with Hurst parameter (H) over cap is an element of (1/2, 1). Sufficient conditions for the existence and asymptotic stability of mild solutions are derived in mean square moment by employing fractional calculus, analytic resolvent operators and Bohnenblust-Karlin's fixed point theorem. The effectiveness of the obtained theoretical results is illustrated by an example. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：299 / 307

页数：9

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