Global attracting sets of neutral stochastic functional integro-differential equations driven by a fractional Brownian motion

被引：0

作者：

Bakka, A. ^{[1
]}

Hajji, S. ^{[2
]}

Kiouach, D. ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abedlah Univ, Fac Sci Dhar El Mahraz, LPAIS Lab, Fes, Morocco

[2] Reg Ctr Profess Educ & Training, Dept Math, Marrakech, Morocco

来源：

RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2021年 / 29卷 / 03期

关键词：

Global attracting sets; resolvent operator; C-0-semigroup; mild solution; fractional Brownian motion; EXISTENCE;

D O I：

10.1515/rose-2021-2058

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

By means of the Banach fixed point principle, we establish some sufficient conditions ensuring the existence of the global attracting sets of neutral stochastic functional integrodifferential equations with finite delay driven by a fractional Brownian motion (fBm) with Hurst parameter H is an element of ( 1/2, 1) in a Hilbert space.

引用

页码：149 / 159

页数：11

共 12 条

[1] Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space [J].

Boufoussi, Brahim ;

Hajji, Salah .

STATISTICS & PROBABILITY LETTERS, 2012, 82 (08) :1549-1558

[2] Successive approximations of infinite dimensional SDEs with jump [J].

Cao, GL ;

He, K ;

Zhang, XC .

STOCHASTICS AND DYNAMICS, 2005, 5 (04) :609-619

[3]

Caraballo T, 2007, DISCRETE CONT DYN-A, V18, P295

[4] The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion [J].

Caraballo, T. ;

Garrido-Atienza, M. J. ;

Taniguchi, T. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (11) :3671-3684

[5] Existence and uniqueness of solutions for delay stochastic evolution equations [J].

Caraballo, T ;

Garrido-Atienza, MJ ;

Real, J .

STOCHASTIC ANALYSIS AND APPLICATIONS, 2002, 20 (06) :1225-1256

[6] Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion [J].

Caraballo, Tomas ;

Diop, Mamadou Abdoul .

FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (04) :745-760

[7] SOME CONSIDERATIONS FOR LINEAR INTEGRODIFFERENTIAL EQUATIONS [J].

DESCH, W ;

GRIMMER, R ;

SCHAPPACHER, W .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 104 (01) :219-234

[8]

Ferrante M, 2006, BERNOULLI, V12, P85

[9]

Govindan T.E., 2005, Stochastics, V77, P139

[10] RESOLVENT OPERATORS FOR INTEGRAL-EQUATIONS IN A BANACH-SPACE [J].

GRIMMER, RC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 273 (01) :333-349

← 1 2 →