On a class of boundary value problems under ABC fractional derivative

Abstract In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) hybrid fractional differential equations (HFDEs) in the frame Atangana–Baleanu–Caputo ( ABC ) derivative. Making use Krasnoselskii and Banach theorems, obtain required conditions. Some appropriate Hyers–Ulam (H–U) stability corresponding considered problem are also established. Also pertinent example is given demonstrate results.