|In this talk I will report on a joint work with Goro Akagi (Kobe) and Giulio Schimperna (Pavia)
in which we highlight some relations between a fractional Cahn Hilliard type equation
and a fractional Porous Medium equation. In particular, we will start with a fractional Cahn Hilliard equation (for which we show existence and uniqueness of solutions)
and we will rigorously prove that when the fractional order of differentiation tends to zero the solutions will converge
to the solution of a fractional Porous Medium equation.