TY - JOUR
AU - Caraballo, Tomás
AU - Diop, Mamadou Abdoul
AU - Ndiaye, Abdoul Aziz
PY - 2014
TI - Asymptotic Behavior of Neutral Stochastic Partial Functional Integro--Differential Equations Driven by a Fractional Brownian Motion
JO - Journal of Nonlinear Sciences and Applications
SP - 407--421
VL - 7
IS - 6
AB - 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.
SN - ISSN 2008-1901
UR - http://dx.doi.org/10.22436/jnsa.007.06.04
DO - 10.22436/jnsa.007.06.04
ID - Caraballo2014
ER -