A coupled hybrid Hadamard fractional system with strongly coupled two-point boundary conditions

In this paper, we investigated a coupled system of hybrid Hadamard fractional differential equations subject to strongly coupled non-separated two-point boundary conditions. By employing properties of Hadamard fractional calculus, the considered problem was transformed into an equivalent system of fractional integral equations. The existence of solutions was established through a Burton-type extension of Krasnoselśkii's fixed point theorem, while uniqueness was obtained via Banach's contraction principle under suitable Lipschitz-type assumptions. Furthermore, the Ulam–Hyers stability of the proposed system was analyzed, and explicit stability estimates were derived. The obtained results extend and complement several existing contributions on hybrid fractional differential systems by treating a Hadamard framework together with strongly coupled boundary interactions. Finally, illustrative examples are presented to demonstrate the applicability of the theoretical findings.