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) 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.