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

Abstract

AbstractIn 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.

Keywords

• Atangana–Baleanu–Caputo (ABC) controllability
• fixed point theorem
• impulsive equation
• optimal control
• semigroup theory