@article{El Hassan_2019, title={Neutral stochastic functional differential evolution equations driven by Rosenblatt process with varying-time delays}, volume={38}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3789}, DOI={10.22199/issn.0717-6279-2019-04-0043}, abstractNote={Hermite processes are self-similar processes with stationary increments, the Hermite process of order 1 is fractional Brownian motion and the Hermite process of order 2 is the Rosenblatt process. In this paper we consider a class of time-dependent neutral stochastic functional differential equations with finite delay driven by Rosenblatt process with index H ∈ (1/2, 1) which is a special case of a self-similar process with long-range dependence. More precisely, we prove the existence and uniqueness of mild solutions by using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.}, number={4}, journal={Proyecciones (Antofagasta, On line)}, author={El Hassan, Lakhel}, year={2019}, month={Oct.}, pages={665-689} }