We study, under the radial symmetry assumption, the solutions to the fractional Schrodinger equations of critical nonlinearity in R1+d, d >= 2, with Levy index 2d/(2d - 1) < alpha < 2. We first prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlinearity. (C) 2013 Elsevier Ltd. All rights reserved.