Browsing by Author "Palanisamy Raja Sekar"

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    Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions
    (MDPI, 2023) Thitiporn Linitda; Kulandhaivel Karthikeyan; Palanisamy Raja Sekar; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th; K. Karthikeyan; Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, Tamil Nadu, 641407, India; email: karthikeyan.k@kpriet.ac.in
    In 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.