Title: Exponential decay for fractional Schrödinger parabolic problems

Abstract: We discuss exponential decay in $L^p(R^N)$, $1\leq p\leq \infty$,of solutions of a fractional Schr\"odinger parabolic equation with a locally uniformly integrable potential. The exponential type of the semigroup of solutions is considered and its independence in of $1\leq p\leq \infty$ is addressed. We characterise a large class of potentials for which solutions decay exponentially.