TIME-DEPENDENT NEUTRAL STOCHASTIC DELAY PARTIAL DIFFERENTIAL EQUATIONS DRIVEN BY ROSENBLATT PROCESS IN HILBERT SPACE

Abstract

In this paper, we investigate a class of time-dependent neutral stochastic functional dierential equations with nite delay driven by Rosenblatt process in a real separable Hilbert space. We prove the existence of unique mild solution by the well-known Banach xed point principle. At the end we provide a practical example in order to illustrate the viability of our result.