  In these notes, we describe the strategy for the derivation of the
hydrodynamic limit for a family of long range interacting particle systems of
exclusion type with symmetric rates. For $m \in \mathbb{N}:=\{1, 2, \ldots\}$
fixed, the hydrodynamic equation is $\partial_t \rho(t,u)= [-(-\Delta)^{\gamma
/2} \rho^m](t,u) $. For $m=1$, this {is} the fractional equation, which is
linear. On the other hand, for $m \geq 2$, this is the fractional porous medium
equation (which is nonlinear), obtained by choosing a rate which depends on the
number of particles next to the initial and final position of a jump.
