Mehmood, NayyarAbbas, AhsanAkgul, AliAbdeljawad, ThabetAlqudah, Manara A.2024-12-242024-12-2420230218-348X1793-6543https://doi.org/10.1142/S0218348X23400236https://hdl.handle.net/20.500.12604/7213In this paper, we use Krasnoselskii's fixed point theorem to find existence results for the solution of the following nonlinear fractional differential equations (FDEs) for a coupled system involving AB-Caputo fractional derivative ABC(0)D(alpha)??(l) = zeta(l,??(l),P(l)), 1 < alpha & <= 2, (SIC) AB( )C(0)D(sigma)P(l) = xi(l,??(l),P(l)), 1 < sigma <= 2,f or alll is an element of [0, 1], with boundary conditions (SIC) ??(0) = 0, lambda??'(eta) = gamma??'(1), P(0) = 0,lambda'(eta) = gamma'(1).We discuss uniqueness with the help of the Banach contraction principle. The criteria for Hyers-Ulam stability of given AB-Caputo fractional-coupled boundary value problem (BVP) is also discussed. Some examples are provided to validate our results. In Example 1, we find a unique and stable solution of AB-Caputo fractional-coupled BVP. In Example 2, the analysis of approximate and exact solutions with errors of nonlinear integral equations is elaborated with graphs.eninfo:eu-repo/semantics/openAccessCoupled SystemAB-Caputo Fractional BVPExistenceUniquenessKrasnoselskii's Fixed Point TheoremBanach Contraction PrincipleStabilityArticle312Q1WOS:000946360100002Q12-s2.0-8515072507910.1142/S0218348X23400236