On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses

In this paper, we study the existence and uniqueness of solutions for impulsive Atangana-Baleanu-Caputo <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"><a:mfenced open="(" close=")" separators="|"><a:mrow><a:mi mathvariant="script">A</a:mi><a:mi mathvariant="script">B</a:mi><a:mi mathvariant="script">C</a:mi></a:mrow></a:mfenced></a:math> fractional integro-differential equations with boundary conditions. Schaefer’s fixed point theorem and Banach contraction principle are used to prove the existence and uniqueness results. An example is presented to illustrate the results.