In this paper,we mainly discuss the quasi-synchronization problem of a class of fractional-order memristor-based neural networks with multiple transmission delays and leakage delay under parameter mismatches.Firstly,the delay linear feedback controller is given,then according to the theory of fractional-order differential inclusion,set-valued maps,fractional-order differential inequality theory and so on,the conditions for the master-slave systems to reach the quasi-synchronization and the corresponding error bounds are obtained.Finally,some corresponding numerical simulations are given to demonstrate the effectiveness of the obtained results.