The generalized U–H and U–H stability and existence analysis of a coupled hybrid system of integro-differential IVPs involving ?-Caputo fractional operators

Abstract We investigate the existence and uniqueness of solutions to a coupled system hybrid fractional integro-differential equations involving ? -Caputo operators. To achieve this goal, we make use fixed point theorem for sum three operators due Dhage also result is obtained by making Banach contraction principle. Moreover, explore Ulam–Hyers stability its generalized version given system. An example presented guarantee validity our results.