Atangana-Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability

The main focus of this paper is centered around approximate controllability results of Atangana-Baleanu fractional differential systems with infinite delay. Using principles and ideas from the theory of multivalued maps, fractional calculus, and Bohnenblust-Karlin fixed point techniques, the key findings are established. We begin by emphasizing the existence of mild solutions, and then demonstrate the approximate controllability of the Atangana-Baleanu fractional control system. We then apply our findings to the theory of the neutral system.