<p>In this paper, the finite-time synchronization (FTS) is investigated for a class of fractional-order delayed complex-valued neural networks (FDCNNs) with parameter uncertainties and discontinuous activations. Firstly, a novel fractional differential inequality is established, which provides an effective tool for analyzing FTS. Subsequently, complex-valued feedback and adaptive controllers are designed. Based on differential inclusion theory and the newly developed fractional-order differential inequalities, some algebraic conditions are obtained to ensure the FTS of FDCNNs with parameter uncertainties and discontinuous activations. Moreover, the settling time is estimated, which depends on the system order, initial values, and controller parameters. Finally, a numerical example is provided to demonstrate the validity of the results.</p>