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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
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
Mild solutions of non-Lipschitz stochastic integrodifferential evolution equations
(Wiley, 2016-10)
In this work we study the existence and uniqueness of mild solutions for stochastic partial integrodifferential equations under local non-Lipschitz conditions on the coefficients. Our analysis makes use of the theory of ...
Artículo
Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays
(World Scientific Publishing, 2016-12)
In this work we study the existence, uniqueness and asymptotic behavior of mild solutions for neutral stochastic partial integrodifferential equations with infinite delays. To prove the results, we use the theory of resolvent ...
Artículo
Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay
(Elsevier, 2019-08)
This paper is concerned with the well-posedness and dynamics of delay impulsive fractional stochastic evolution equations with time fractional differential operator α ∈ (0, 1). After establishing the well-posedness of the ...
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 ...