Karthikeyan, KulandhaivelSekar, Palanisamy RajaKarthikeyan, PanjaiyanKumar, AnoopBotmart, ThongchaiWeera, Wajaree2024-01-212024-08-132024-01-212024-08-132022-12-052473698810.3934/math.2023209http://10.2.3.109/handle/32116/3429This article focuses on the controllability of a Hilfer fractional impulsive differential equation with indefinite delay. We analyze our major outcomes using fractional calculus, the measure of non-compactness and a fixed-point approach. Finally, an example is provided to show the theory. � 2023 the Author(s), licensee AIMS Press.en-USboundary conditioncontrollabilityfixed-point theoremfractional calculusimplusive conditionintegro-differential systemArticlehttp://www.aimspress.com/article/doi/10.3934/math.2023209