Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 2Citation - Scopus: 2Existence Results for an Impulsive Neutral Integro-Differential Equations in Banach Spaces(Ovidius Univ Press, 2019) Baleanu, Dumitru; Arjunan, Mani Mallika; Usha, VenkateshIn this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.Article Citation - WoS: 2Citation - Scopus: 3Controllability of Nonlocal Non-Autonomous Neutral Differential Systems Including Non-Instantaneous Impulsive Effects in R<sup>n</Sup>(Ovidius Univ Press, 2020) Arjunan, Mani Mallika; Baleanu, Dumitru; Kavitha, VelusamyThis manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous impulses in the space R-n. Sufficient conditions guaranteeing the controllability of mild solutions are set up. Concept of evolution family and Rothe's fixed point theorem are employed to achieve the required results. A model is investigated to delineate the adequacy of the results.Article Citation - WoS: 4Citation - Scopus: 4Approximate Controllability of Second-Order Nonlocal Impulsive Partial Functional Integro-Differential Evolution Systems(Univ Nis, Fac Sci Math, 2019) Kavitha, Velusamy; Baleanu, Dumitru; Arjunan, Mani Mallika; Nagaraj, MahalingamThis 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.