This paper investigates the global synchronization of impulsive fractional-order complex-valued memristor-based neural networks with time varying delays. Based on the Riemann-Liouville (R-L) derivative, by applying Lyapunov functional approach and using the comparison theorem, we derive some global synchronization criteria for the fractional order linear systems. Global asymptotic synchronization criteria are achieved through the employment of a pinning control and comparison theorem of fractional order systems. Finally, the effectiveness of the proposed method is validated through a constructive numerical example. (C) 2019 Elsevier B.V. All rights reserved.