Thitiporn LinitdaKulandhaivel KarthikeyanPalanisamy Raja SekarThanin Sitthiwirattham2025-03-102025-03-102023Mathematics2227739010.3390/math110510712-s2.0-85149868843https://repository.dusit.ac.th//handle/123456789/4588In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and MonchÕs fixed point theorem. We also present an example, in order to elucidate one of the results discussed. © 2023 by the authors.All Open Access; Gold Open Accessboundary conditioncontrollabilityfixed point theoremfractional calculusimpulsive conditionintegro-differential systemArticleScopus