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Abstract In this work, we study the existence and uniqueness of mild solution for a mean-field stochastic integrodifferential equation (SIDEs) with finite delay, driven by a fractional Brownian motion in a Hilbert space with Hurst parameter H > 1 2 H>1{2}. We suppose that the linear part has a resolvent operator in the sense given in R. C. Grimmer, Resolvent operators for integral equations in a Banach space, Trans. Amer. Math. Soc. 273 1982, 1, 333–349. An example is provided to show the applicability of our results.
Kasinathan et al. (Thu,) studied this question.