This paper is devoted to discussing the globally projective synchronization of Caputo fractional-order quaternion-valued neural networks (FOQVNNs) with discrete and distributed delays. Without decomposing the FOQVNNs into several subsystems. by employing the Lyapunov direct method and inequality techniques. the algebraic criterion for the globally projective synchronization is derived. https://proozya.shop/product-category/lunchbox/