%0 Journal Article
%T Asymptotic Behavior of Neutral Stochastic Partial Functional Integro--Differential Equations Driven by a Fractional Brownian Motion
%A Caraballo, Tomás
%A Diop, Mamadou Abdoul
%A Ndiaye, Abdoul Aziz
%J Journal of Nonlinear Sciences and Applications
%D 2014
%V 7
%N 6
%@ ISSN 2008-1901
%F Caraballo2014
%X 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 \(H \in ( \frac{1}{2} , 1)\). 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.
%9 journal article
%R 10.22436/jnsa.007.06.04
%U http://dx.doi.org/10.22436/jnsa.007.06.04
%P 407--421