  We study the hydrodynamic limit for a model of symmetric exclusion processes
with heavy-tailed long jumps and in contact with infinitely extended
reservoirs. We show how the corresponding hydrodynamic equations are affected
by the parameters defining the model. The hydrodynamic equations are
characterized by a class of super-diffusive operators that are given by the
regional fractional Laplacian with some additional reaction terms and various
boundary conditions. This work solves some questions left open in \cite{BJGO2}
about the same model.
