An outlook on the controllability of non-instantaneous impulsive neutral fractional nonlocal systems via Atangana–Baleanu–Caputo derivative.

In this article, we tackle the optimal control and controllability of neutral fractional nonlocal integro-differential equations (NFNIE) of Atangana–Baleanu–Caputo with non-instantaneous impulses. Semigroup theory, noncompactness measurements and fixed point approaches were used to attain the results. An illustration is provided to support the theoretical findings. [ABSTRACT FROM AUTHOR]