Stability of standing waves for the fractional Schrödinger-Choquard equation

In this paper, we consider the stability of standing waves for the fractional Schrödinger-Choquard equation with an L2-critical nonlinearity. By using the profile decomposition of bounded sequences in Hs and variational methods, we prove that the standing waves are orbitally stable. We extend the study of Bhattarai for a single equation (Bhattarai, 2017) to the L2-critical case.