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

[21] A System of Coupled Impulsive Neutral Functional Differential Equations: New Existence Results Driven by Fractional Brownian Motion and the Wiener Process
Moumen, Abdelkader
Ferhat, Mohamed
Cherif, Amin Benaissa
Bouye, Mohamed
Biomy, Mohamad
MATHEMATICS, 2023, 11 (24)
[22] Exponential stability of a class of impulsive stochastic delay partial differential equations driven by a fractional Brownian motion
Dingshi Li
Guiling Chen
International Journal of Control, Automation and Systems, 2017, 15 : 1561 - 1568
[23] Exponential Stability of a Class of Impulsive Stochastic Delay Partial Differential Equations Driven by a Fractional Brownian Motion
Li, Dingshi
Chen, Guiling
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2017, 15 (04) : 1561 - 1568
[24] 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
[25] Neutral stochastic differential equations driven by Brownian motion and fractional Brownian motion in a Hilbert space
Liu, Weiguo
Luo, Jiaowan
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2015, 87 (1-2): : 235 - 253
[26] Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion
Lakhel, El Hassan
STOCHASTIC ANALYSIS AND APPLICATIONS, 2016, 34 (03) : 427 - 440
[27] Neutral stochastic differential equations driven by a fractional Brownian motion with impulsive effects and varying-time delays
Nguyen Tien Dung
JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2014, 43 (04) : 599 - 608
[28] Neutral stochastic differential equations driven by a fractional Brownian motion with impulsive effects and varying-time delays
Nguyen Tien Dung
Journal of the Korean Statistical Society, 2014, 43 : 599 - 608
[29] Global Attractiveness and Quasi-Invariant Sets of Impulsive Neutral Stochastic Functional Differential Equations Driven by Tempered Fractional Brownian Motion
Yarong Peng
Zhi Li
Liping Xu
AnnalsofAppliedMathematics, 2022, 38 (04) : 414 - 440
[30] Functional differential equations in Hilbert spaces driven by a fractional Brownian motion
Boufoussi B.
Hajji S.
Lakhel E.H.
Afrika Matematika, 2012, 23 (2) : 173 - 194

← 1 2 3 4 5 →