The purpose of this work is to investigate the blow-up dynamics of L 2 −critical focusing inhomogeneous fractional nonlinear Schrödinger equation:For this, we establish a new compactness lemma related to the equation. By applying this lemma, we study the dynamical behavior for blow-up solutions for initial data ∈ H s (R N ) satisfying || || L 2 ≥ ||Q|| L 2 , where Q is the ground state solution of our problem. KEYWORDS blow up, compact lemma, dynamical behavior MSC CLASSIFICATION 35Q51; 35Q55