Jarad, FahdGul, RoziShah, KamalKhan, Zareen A.Jarad, Fahd2022-09-302022-09-302021Gul, Rozi...et al. (2021). "On a class of boundary value problems under ABC fractional derivative", Advances in Difference Equations, Vol. 2021, No. 1.1687-1839https://hdl.handle.net/20.500.12416/5791In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) of hybrid fractional differential equations (HFDEs) in the frame of Atangana–Baleanu–Caputo (ABC) fractional derivative. Making use of Krasnoselskii and Banach theorems, we obtain the required conditions. Some appropriate results of Hyers–Ulam (H–U) stability corresponding to the considered problem are also established. Also a pertinent example is given to demonstrate the results. © 2021, The Author(s).eninfo:eu-repo/semantics/openAccessABC Fractional Order DerivativeHfdesKrasnoselskii and Banach TheoremsStabilityArticle2021110.1186/s13662-021-03595-3