  This paper is concerned with diffusion-reaction equations where the classical
diffusion term, such as the Laplacian operator, is replaced with a singular
integral term, such as the fractional Laplacian operator. As far as the
reaction term is concerned, we consider bistable non-linearities. After
properly rescaling (in time and space) these integro-differential evolution
equations, we show that the limits of their solutions as the scaling parameter
goes to zero exhibit interfaces moving by anisotropic mean curvature. The
singularity and the unbounded support of the potential at stake are both the
novelty and the challenging difficulty of this work.
