Asymptotic behavior for a class of non autonomous non local problems

In this paper we consider the non local non autonomous evolution problem $$\{\begin{array}{l}{\mathrm{\partial }}_{t}u=-u+g(\beta (t)(Ku))in\mathrm{\Omega },\\ u=0in{\mathbb{R}}^N\mathrm{\backslash }\mathrm{\Omega },\end{array}$$ where $\mathrm{\Omega }$ is a smooth bounded domain in ${\mathbb{R}}^N$, $\beta$ denotes the functional parameter given by a continuous bounded function on $\mathbb{R}$, and $K$ is an integral operator with symmetric kernel. We prove existence and some regularity properties of the pullback attractor.