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

共 50 条

[31] Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
Bao, Haibo
Cao, Jinde
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[32] Fractional neutral functional differential equations driven by the Rosenblatt process with an infinite delay
Lahmoudi, Ahmed
Lakhel, El Hassan
RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2023, 31 (03) : 225 - 244
[33] STOCHASTIC DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES DRIVEN BY A FRACTIONAL BROWNIAN MOTION
Boudaoui, Ahmed
Caraballo, Tomas
Ouahab, Abdelghani
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (07): : 2521 - 2541
[34] The Existence, Uniqueness, and Controllability of Neutral Stochastic Delay Partial Differential Equations Driven by Standard Brownian Motion and Fractional Brownian Motion
Ruan, Dehao
Luo, Jiaowan
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
[35] Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects
Ma, Yong-Ki
Arthi, G.
Anthoni, S. Marshal
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[36] Stability result for fractional neutral stochastic differential system driven by mixed fractional Brownian motion
Dhanalakshmi, K.
Balasubramaniam, P.
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2021, 11 (5-6) : 497 - 513
[37] Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time-varying delay
Zhou, Xia
Liu, Xinzhi
Zhong, Shouming
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[38] Global attracting sets of neutral stochastic functional integro-differential equations driven by a fractional Brownian motion
Bakka, A.
Hajji, S.
Kiouach, D.
RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2021, 29 (03) : 149 - 159
[39] Stochastic delay fractional evolution equations driven by fractional Brownian motion
Li, Kexue
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (08) : 1582 - 1591
[40] Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
Haibo Bao
Jinde Cao
Advances in Difference Equations, 2017

← 1 2 3 4 5 →