  Following the methodology of [Brasco and Volzone, Adv. Math. 2022], we study
the long-time behavior for the signed Fractional Porous Medium Equation in open
bounded sets with smooth boundary. Homogeneous exterior Dirichlet boundary
conditions are considered. We prove that if the initial datum has sufficiently
small energy, then the solution, once suitably rescaled, converges to a
nontrivial constant sign solution of a sublinear fractional Lane-Emden
equation. Furthermore, we give a nonlocal sufficient energetic criterion on the
initial datum, which is important to identify the exact limit profile, namely
the positive solution or the negative one.
