Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay

被引：21

作者：

Boudaoui, Ahmed ^{[1
]}

Caraballo, Tomas ^{[2
]}

Ouahab, Abdelghani ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, POB 89, Sidi Bel Abbes, Algeria

[2] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Campus Reina Mercedes, Seville, Spain

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 09期

关键词：

Fractional Brownian motion; fixed point; mild solutions; attractivity; neutral stochastic functional differential equation; STOCHASTIC-EVOLUTION EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; EXPONENTIAL STABILITY; INFINITE DELAY; HILBERT-SPACE; EXISTENCE;

D O I：

10.1080/00036811.2015.1086756

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the local and global existence and attractivity of mild solutions for stochastic impulsive neutral functional differential equations with infinite delay, driven by fractional Brownian motion.

引用

页码：2039 / 2062

页数：24

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