  In this work we analyze the behavior of the solutions to nonlocal evolution
equations of the form $u_t(x,t) = \int J(x-y) u(y,t) \, dy - h_\epsilon(x)
u(x,t) + f(x,u(x,t))$ with $x$ in a perturbed domain $\Omega^\epsilon \subset
\Omega$ which is thought as a fixed set $\Omega$ from where we remove a subset
$A^\epsilon$ called the holes. We choose an appropriated families of functions
$h_\epsilon \in L^\infty$ in order to deal with both Neumann and Dirichlet
conditions in the holes setting a Dirichlet condition outside $\Omega$.
Moreover, we take $J$ as a non-singular kernel and $f$ as a nonlocal
nonlinearity. % Under the assumption that the characteristic functions of
$\Omega^\epsilon$ have a weak limit, we study the limit of the solutions
providing a nonlocal homogenized equation.
