Baleanu, DumitruNagaraj, MahalingamSuganya, SelvarajBaleanu, DumitruArjunan, Mani Mallika2020-05-152020-05-152019Nagaraj, M...et al. (2019). "Approximate Controllability of Second-Order Nonlocal Impulsive Partial Functional Integro-Differential Evolution Systems in Banach Spaces",Filomat, Vol. 33, No. 18, pp. 5887-5912.3545180https://hdl.handle.net/20.500.12416/3854This manuscript is involved with a class of second-order impulsive partial functional integro-differential evolution equations with nonlocal conditions in Banach spaces. Sufficient conditions ensuring the existence and approximate controllability of mild solutions are established. Theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem are employed for achieving the required results. An example is analyzed to illustrate the effectiveness of the outcome. © 2019, University of Nis. All rights reserved.eninfo:eu-repo/semantics/openAccessFixed PointCosine FamilyIntegro-Differential Evolution SystemsImpulsive ConditionsSemigroup TheoryNonlocal ConditionsApproximate Controllability of Second-Order Nonlocal Impulsive Partial Functional Integro-Differential Evolution Systems in Banach SpacesApproximate Controllability of Second-Order Nonlocal Impulsive Partial Functional Integro-Differential Evolution Systems in Banach SpacesArticle33185887591210.2298/FIL1918887N