Abstract
In the current manuscript, we combine the
-fractional integral operator and
-fractional derivative to investigate a coupled hybrid fractional
-differential systems with sequential fractional
-derivatives. The existence and uniqueness of solutions for the proposed system are established by means of Leray-Schauder’s alternative and the Banach contraction principle. Furthermore, the Ulam-Hyers and Ulam-Hyers-Rassias stability results are discussed. Finally, two illustrative examples are given to highlight the theoretical findings.