On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo’s criterion

Abstract In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in context fractional generalized operator sense ψ -Caputo. To emphasize novelty pure technique noncompactness measures is applied to system based on notion modulus continuity Darbo’s criterion that covers existing results other works published before. The Ulam–Hyers stabilities are explored given nonhybrid problem. An application prepared framework an example ensure validity theorems different cases.