Research Information System
Chaos, Solitons and Fractals, vol.201, 2025 (SCI-Expanded)
In this paper, we demonstrate the controllability of semilinear neutral differential equations with impulses and delays, governed by the Atangana–Baleanu (AB) Caputo fractional derivative (FD). We establish sufficient conditions for controllability by combining semigroup theory with Darbo's fixed point theorem. The fractional-order derivative offers a more accurate representation of memory and hereditary effects, thereby enhancing the understanding of system dynamics. The challenges posed by impulsive effects and time delays are addressed using the measure of noncompactness. Two examples are presented to ensure the effectiveness and applicability of the proposed method in supporting the theoretical results. This study provides practical insights and introduces a novel analytical framework for handling complex systems described by fractional dynamics, with potential applications in engineering and physics.