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arxiv: 1007.1855 · v1 · submitted 2010-07-12 · 🧮 math.AP · math.PR

Fractional White Noise Perturbations of Parabolic Volterra Equations

classification 🧮 math.AP math.PR
keywords fractionalhurstnoiseparameterresultsvolterrawhitewill
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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.

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