Abbas, AhsanMehmood, NayyarAkgul, AliAmacha, InasAbdeljawad, Thabet2024-12-242024-12-2420240218-348X1793-6543https://doi.org/10.1142/S0218348X24400413https://hdl.handle.net/20.500.12604/7223This paper presents the following AB-Caputo fractional boundary value problem (ABC)(0)D(alpha)u(sigma) = G(sigma, u(sigma)), sigma is an element of[0, 1] with integral-type boundary conditions u(0) = 0 = u ''(0), gamma u(1) = lambda integral(1)(0) g(1)(kappa)u(kappa)d kappa, of order 2 < alpha <= 3. Schauder and Krasnoselskii's fixed point theorems are used to find existence results. Uniqueness is obtained via the Banach contraction principle. To investigate the stability of a given problem, Hyers-Ulam stability is discussed. An example is provided to validate our results.eninfo:eu-repo/semantics/closedAccessAB-Caputo Fractional BVPExistence ResultsSchauder Fixed Point TheoremUniqueness Krasnoselskii's Fixed Point TheoremBanach Contraction Principle and StabilityArticle3207N08N/AWOS:001262725600002Q12-s2.0-8519694411410.1142/S0218348X24400413