Arjunan, Mani MallikaBaleanu, DumitruKavitha, Velusamy2024-04-252025-09-182024-04-252025-09-182022Kavitha, Velusamy; Arjunan, Mani Mallika; Baleanu, Dumitru. (2022). "Non-instantaneous impulsive fractional-order delay differential systems with Mittag-Leffler kernel", AIMS Mathematics, Vol.7, No.5, pp.9353-9372.2473-6988https://doi.org/10.3934/math.2022519https://hdl.handle.net/20.500.12416/10843The existence of fractional-order functional differential equations with non-instantaneous impulses within the Mittag-Leffler kernel is examined in this manuscript. Non-instantaneous impulses are involved in such equations and the solution semigroup is not compact in Banach spaces. We suppose that the nonlinear term fulfills a non-compactness measure criterion and a local growth constraint. We further assume that non-instantaneous impulsive functions satisfy specific Lipschitz criteria. Finally, an example is given to justify the theoretical results.eninfo:eu-repo/semantics/openAccessAtangana-Baleanu Fractional DerivativeNon-Instantaneous ImpulsesMittag-Leffler KernelFixed Point TheoremArticle10.3934/math.20225192-s2.0-85126950830