Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay

We discuss the controllability of semilinear differential equations of fractional order with impulses and delay. We make use of the Atangana-Baleanu derivative. Our main tools are semigroup theory, the fixed point theorem due to Darbo and their combination with the properties of measures of noncompactness. Our abstract results are well supported by an illustrative example. (C) 2019 Published by Elsevier Ltd.