Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks

•The fractional-order memristor-based neural networks are discussed in this paper.•We handle the concept solution in the Filippov’s sense for the memristor-based neural networks.•A Lyapunov approach to the stability of fractional-order differential equations is presented in this paper.

The present paper introduces memristor-based fractional-order neural networks. The conditions on the global Mittag-Leffler stability and synchronization are established by using Lyapunov method for these networks. The analysis in the paper employs results from the theory of fractional-order differential equations with discontinuous right-hand sides. The obtained results extend and improve some previous works on conventional memristor-based recurrent neural networks.