Browsing by Author "Ndiaye, Abdoul Aziz"

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    Asymptotic behavior of neutral stochastic
    (Research Gate, 2014-12) Caraballo, Tom´as; Diop, Mamadou Abdoul; Ndiaye, Abdoul Aziz
    This paper deals with the existence, uniqueness and asymptotic behavior of mild solutions to neutral stochastic delay functional integro-differential equations perturbed by a fractional Brownian motion BH, with Hurst parameter H ∈ (12, 1). The main tools for the existence of solution is a fixed point theorem and the theory of resolvent operators developed in Grimmer [R. Grimmer, Trans. Amer. Math. Soc., 273 (1982), 333–349.], while a Gronwall-type lemma plays the key role for the asymptotic behavior. An example is provided to illustrate the results of this work. (c) 2014 All rights reserved.