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Artículo
Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion
(Taylor & Francis, 2016)
Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian motions are proved. The approach is based on Perov’s fixed point ...
Artículo
Stochastic differential equations with non-instantaneous impulses driven by a fractional Brownian motion
(American Institute of Mathematical Sciences, 2017-09)
This paper is concerned with the existence and continuous dependence of mild solutions to stochastic differential equations with non-instantaneous impulses driven by fractional Brownian motions. Our approach is based on ...
Artículo
Analysis of a stochastic SIR model with fractional Brownian motion
(Taylor & Francis, 2018)
In this article, a stochastic version of a SIR nonautonomous model previously introduced in Kloeden and Kozyakin (2011) is considered. The noise considered is a fractional Brownian motion which satisfies the property of ...
Artículo
Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay
(Wiley, 2016-04)
In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay in the ...
Artículo
Impulsive neutral functional differential equations driven by a fractional Brownian motion with unbounded delay
(Taylor & Francis, 2016)
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.
Artículo
Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2019-02)
In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the ...
Artículo
The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional brownian motion
(2011)
In this paper we investigate the existence, uniqueness and exponential asymptotic behavior of mild solutions to stochastic delay evolution equations perturbed by a fractional Brownian motion BH Q (t): dX(t) = (AX(t) + ...
Artículo
Existence results fortime-dependent neutral functional integrodifferential equations driven by a fractional Brownian motion
(Euclidean Press, 2014)
This article presents some results on existence and uniqueness of mild solutions to neutral stochastic functional evolution integrodifferential equations driven by a fractional Brownian motion. The existence of mild solutions ...
Artículo
Long time behavior of fractional impulsive stochastic differential equations with infinite delay
(American Institute of Mathematical Sciences, 2019-06)
This paper is first devoted to the local and global existence of mild solutions for a class of fractional impulsive stochastic differential equations with infinite delay driven by both K-valued Q-cylindrical Brownian motion ...
Artículo
Asymptotic behavior of neutral stochastic partial functional integro-differential equations driven by a fractional Brownian motion
(2014)
This paper deals with the existence, uniqueness and asymptotic behavior of mild solutions to neutral stochastic delay functional integro-di erential equations perturbed by a fractional Brownian motion BH, with Hurst parameter ...