Solvability and stability results for coupled hybrid system with sequential Caputo fractional derivatives

Abstract We obtain new results regarding the existence, uniqueness, and stability of solutions for a class of fractional Caputo sequential coupled hybrid system which are investigated by applying fixed-point theorems such as Banach’s contraction mapping principle and Leray–Schauder’s alternative. Also, the stability of the mentioned fractional sequential hybrid system is defined and studied. Lastly, we demonstrate some numerical examples in order to confirm our results.