Fractional White Noise Perturbations of Parabolic Volterra Equations

Aim of this work is to extend the results of Cl'ement, Da Prato & Pr"uss on the fractional white noise perturbation with Hurst parameter 0<H<1. We will obtain similar results and it will turn out that the regularity of the solution u(t) of the stochastic Volterra equation increases with Hurst parameter H.