In this paper, we are aiming to prove several regularity results for the following stochastic fractional heat equations with additive noises du t (x) = ∆ α 2 u t (x)dt + g(t, x

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We consider nonlocal PDEs driven by additive white noises on R d . For L q integrable coefficients, we derive the existence and uniqueness, as well as Hölder continuity, of mild solutions. Precisely speaking, the unique mild solution is almost surely Hölder continuous with Hölder index 0 < θ < (1/2 -d/(qα))(1 ∧ α). Moreover, we show that any order γ (< q) moment of Hölder normal for u on every bounded domain of R + × R d is finite. MSC: 60H15; 35R60

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