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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
Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems
(De Gruyter, 2019-09)
In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is ...
Artículo
Transportation inequalities for coupled systems of stochastic delay evolution equations with a fractional Brownian motion
(Taylor and Francis Online, 2021-02-17)
We prove an existence and uniqueness result of mild solution for a system of stochastic semilinear differential equations with fractional Brownian motions and Hurst parameter H < 1/2. Our approach is based on Perov’s fixed ...
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
Corrigendum to the paper: Existence and stability results for semilinear systems of impulsivestochastic differential equations with fractionalBrownian motion. Stoch. Anal. Appl. 34 (2016), no. 5, 792–834
(Taylor & Francis, 2017-08)
In this paper we correct an error made in our paper [Blouhi, T.; Caraballo, T.; Ouahab, A. Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian ...