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] Nonlocal fractional stochastic differential equations driven by fractional Brownian motion
Lv, Jingyun
Yang, Xiaoyuan
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[22] Controllability of impulsive neutral stochastic differential equations with fractional Brownian motion
Ahmed, Hamdy M.
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2015, 32 (04) : 781 - 794
[23] 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
[24] Non-instantaneous impulsive Hilfer fractional stochastic differential equations driven by fractional Brownian motion
Saravanakumar, S.
Balasubramaniam, P.
STOCHASTIC ANALYSIS AND APPLICATIONS, 2021, 39 (03) : 549 - 566
[25] Functional differential equations driven by a fractional Brownian motion
Boufoussi, B.
Hajji, S.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (02) : 746 - 754
[26] Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion
Caraballo, Tomas
Diop, Mamadou Abdoul
Ndiaye, Abdoul Aziz
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (06): : 407 - 421
[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] Convergence of delay differential equations driven by fractional Brownian motion
Ferrante, Marco
Rovira, Carles
JOURNAL OF EVOLUTION EQUATIONS, 2010, 10 (04) : 761 - 783
[30] Convergence of delay differential equations driven by fractional Brownian motion
Marco Ferrante
Carles Rovira
Journal of Evolution Equations, 2010, 10 : 761 - 783

← 1 2 3 4 5 →