This chapter addresses the synchronization of fractional discrete memristive models, which combine the nonlocal dynamics of fractional calculus with the nonlinear memory effects of memristors. A master–slave framework is established, and several synchronization schemes are proposed, including linear feedback, adaptive control, and projective synchronization. Stability conditions are derived using fractional stability theory, allowing for rigorous treatment of parameter uncertainties and external disturbances. Numerical simulations on representative memristive maps are provided to illustrate the efficiency of the proposed approaches, with analyses based on synchronization errors, phase portraits, and time series. The results demonstrate that the fractional order plays a decisive role in shaping synchronization speed, robustness, and dynamical complexity. Beyond theoretical development, the chapter highlights potential applications in secure communications, neuromorphic systems, and coupled networks. It concludes by outlining open research directions, including finite-time synchronization, variable-order extensions, and hardware implementation.