  In this paper, we consider semilinear stochastic fractional heat equation
$\frac{\partial}{\partial
t}u_{\beta,t}(x)=\triangle^{\alpha/2}u_{\beta,t}(x)+\sigma(u_{\beta,t}(x))\eta_{\beta}$.
The Gaussian noise $\eta_{\beta}$ is assumed to be colored in space with
covariance of the form
$E(\eta_{\beta}(t,x)\eta_{\beta}(s,y))=\delta(t-s)f_{\beta}(x-y)$, where
$f_{\beta}$ is the Riesz kernel $f_{\beta}(x)\propto |x|^{-\beta}$. We obtain
the spatial and temporal H$\ddot{\mbox{o}}$lder continuity of the mild
solution.
