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On a nonlinear neutral stochastic functional integro-differential equation driven by fractional Brownian motion (1809.02784v1)
Published 8 Sep 2018 in math.PR
Abstract: In this paper, we study the existence and uniqueness of mild solution for a stochastic neutral partial functional integro-differential equation with delay in a Hilbert space driven by a fractional Brownian motion and with non-deterministic diffusion coefficient. We suppose that the linear part has a resolvent operator. We also establish a sufficient condition for the existence of the density of a function of the solution. An example is provided to illustrate the results of this work