Energy scattering for the focusing fractional generalized Hartree equation

<p style='text-indent:20px;'>This note studies the asymptotics of radial global solutions to the non-linear fractional Schrödinger equation</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ i\dot u-(-\Delta)^s u+|u|^{p-2}(I_\alpha *|u|^p)u = 0. $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>Indeed, using a new method due to Dodson-Murphy [<xref ref-type="bibr" rid="b10">10</xref>], one proves that, in the inter-critical regime, under the ground state threshold, the radial global solutions scatter in the energy space.</p>