Baleanu, DumitruArjunan, Mani MallikaKalamani, Palaniyappan02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2019-12-202025-09-182019-12-202025-09-182018Kalamani, Palaniyappan; Baleanu, Dumitru; Arjunan, Mani Mallika (2018). Local existence for an impulsive fractional neutral integro-differential system with Riemann-Liouville fractional derivatives in a Banach space, Advances in Difference Equations.1687-1847https://doi.org/10.1186/s13662-018-1866-6https://hdl.handle.net/20.500.12416/14976P, Kalamani/0009-0005-7777-6258; Mani, Mallika Arjunan/0000-0002-3358-0780In this manuscript, we investigate a sort of fractional neutral integro-differential equations with impulsive outcomes and extend the formula of general solutions for the impulsive fractional neutral integro-differential system in a Banach space. By using the analysis of the limit case and the operator generating compact semigroup, we derive the main results. Finally, an example is discussed to illustrate the efficiency of the results.eninfo:eu-repo/semantics/openAccessFractional Differential EquationsRiemann-Liouville Fractional DerivativesImpulsiveLocal Existence for an Impulsive Fractional Neutral Integro-Differential System With Riemann-Liouville Fractional Derivatives in a Banach SpaceLocal existence for an impulsive fractional neutral integro-differential system with Riemann-Liouville fractional derivatives in a Banach spaceArticle10.1186/s13662-018-1866-62-s2.0-85056569031