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

[41] 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
[42] 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
[43] Stochastic differential equations driven by fractional Brownian motion and standard Brownian motion
Guerra, Joao
Nualart, David
STOCHASTIC ANALYSIS AND APPLICATIONS, 2008, 26 (05) : 1053 - 1075
[44] Viability for differential equations driven by fractional Brownian motion
Ciotir, Ioana
Rascanu, Aurel
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (05) : 1505 - 1528
[45] Stochastic differential equations driven by fractional Brownian motion
Xu, Liping
Luo, Jiaowan
STATISTICS & PROBABILITY LETTERS, 2018, 142 : 102 - 108
[46] Stochastic delay fractional evolution equations driven by fractional Brownian motion
Li, Kexue
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (08) : 1582 - 1591
[47] Parametric estimation for linear stochastic delay differential equations driven by fractional Brownian motion
Rao, B. L. S. Prakasa
RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2008, 16 (01) : 27 - 38
[48] Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
Haibo Bao
Jinde Cao
Advances in Difference Equations, 2017
[49] Existence of solutions for fractional stochastic impulsive neutral functional differential equations with infinite delay
Bao, Haibo
Cao, Jinde
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[50] Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 1/2 < H < 1
Gao, Lili
Sun, Xichao
Frontiers in Physics, 2021, 9

← 1 2 3 4 5 →