  We study, under the radial symmetry assumption, the solutions to the
fractional Schr\"odinger equations of critical nonlinearity in $\mathbb
R^{1+d}, d \geq 2$, with L\'{e}vy index ${2d}/({2d-1}) < \al < 2$. We firstly
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 nonlineartity.
