  In this article we obtain the equilibrium fluctuations of a symmetric
exclusion process in $\mathbb{Z}$ with long jumps. The transition probability
of the jump from $x$ to $y$ is proportional to $|x-y|^{-\gamma-1}$. Here we
restrict to the choice $\gamma \geq 2$ so that the system has a diffusive
behavior. Moreover, when particles move between $\mathbb{Z}_{-}^{*}$ and
$\mathbb N$, the jump rates are slowed down by a factor $\alpha n^{-\beta}$,
where $\alpha>0$, $\beta\geq 0$ and $n$ is the scaling parameter. Depending on
the values of $\beta$ and $\gamma$, we obtain several stochastic partial
differential equations, corresponding to a heat equation without boundary
conditions, or with Robin boundary conditions or Neumann boundary conditions.
