<p>This paper primarily investigates the outer synchronization problem of two coupled fractional fuzzy reaction-diffusion cellular neural networks (FFRDCCNNs) with time delays. Firstly, a mathematical model of FFRDCCNNs is proposed, which can effectively describe systems under high uncertainty. Secondly, the Halanay inequality is analyzed, and the restrictions on its parameter conditions are relaxed. Thirdly, a new analytical framework for impulsive differential inequalities is developed, combined with the average impulsive interval method, to rigorously derive estimates for the solutions of these inequalities. Fourthly, a simple and efficient impulsive controller is designed, and the criteria for achieving exponential outer quasi-synchronization (EOQS) in FFRDCCNNs are established. The constraints on the impulsive gain are explicitly given, and an upper bound estimate for the outer synchronization error is provided. Finally, two numerical simulations are constructed to fully verify the theoretical results.</p>