Mehmood, NayyarAbbas, AhsanAbdeljawad, ThabetAkgul, Ali2024-12-242024-12-2420210218-348X1793-6543https://doi.org/10.1142/S0218348X21400168https://hdl.handle.net/20.500.12604/7207This paper presents a study on the existence theory of fractional differential equations involving Atangana-Baleanu (AB) derivative of order 1 < alpha <= 2, with non-separated and integral type boundary conditions. An existence result for the solutions of given AB-fractional differential equation is proved using Krasnoselskii's fixed point theorem, while the uniqueness of the solution is obtained using Banach contraction principle. Some conditions are proposed under which the given boundary value problem is Hyers-Ulam stable. Examples are given to validate our results.eninfo:eu-repo/semantics/openAccessABC-DerivativeHigher Order AB IntegralBoundary Value ProblemIntegral Boundary ConditionsExistence and UniquenessKrasnoselskiia's Fixed Point TheoremBanach Fixed Point TheoremArticle295Q1WOS:000683456000035Q12-s2.0-8510252077810.1142/S0218348X21400168