Abstract
This note studies the asymptotics of radial global solutions to the non-linear fractional Schrodinger equation
i(u) over dot - (-Delta)(s)u + vertical bar u vertical bar(p-2)(I-alpha * vertical bar u vertical bar(p))u = 0.
Indeed, using a new method due to Dodson-Murphy [10], one proves that, in the inter-critical regime, under the ground state threshold, the radial global solutions scatter in the energy space.