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Artículo
Stochastic lattice dynamical systems with fractional noise
(Society for Industrial and Applied Mathematics, 2017)
This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). First of all, we investigate the existence and uniqueness of pathwise mild solutions to ...
Artículo
Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process
(American Institute of Mathematical Sciences (AIMS), 2020-02)
The existence and uniqueness of mild solution of an impulsive stochastic system driven by a Rosenblatt process is analyzed in this work by using the Banach fixed point theorem and the theory of resolvent operator developed ...