Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - Scopus: 1Existence and Controllability of Fractional Neutral Integro-Differential Systems With State-Dependent Delay(Academy of Romanian Scientists Publishing House, 2018) Kalamani, P.; Baleanu, Dumitru; Baleanu, D.; Suganya, S.; Arjunan, M.M.; MatematikIn light of ideas for semigroups, fractional calculus and Banach contraction principle, this manuscript is mainly concerned with existence and controllability of fractional neutral integro-differential structures with state-dependent delay in Banach spaces. To obtain our results, our working hypotheses are that the functions determining the equation satisfy certain Lipschitz conditions of local type which is similar to the hypotheses [5]. Examples are presented to demonstrate the application of the results established. © 2018, Academy of Romanian Scientists Publishing House. All rights reserved.Article Citation - Scopus: 8First-Order Impulsive Differential Systems: Sufficient and Necessary Conditions for Oscillatory or Asymptotic Behavior(Springer Science and Business Media Deutschland GmbH, 2021) Baleanu, D.; Khedher, K.M.; Moaaz, O.; Santra, S.S.In this paper, we study the oscillatory and asymptotic behavior of a class of first-order neutral delay impulsive differential systems and establish some new sufficient conditions for oscillation and sufficient and necessary conditions for the asymptotic behavior of the same impulsive differential system. To prove the necessary part of the theorem for asymptotic behavior, we use the Banach fixed point theorem and the Knaster–Tarski fixed point theorem. In the conclusion section, we mention the future scope of this study. Finally, two examples are provided to show the defectiveness and feasibility of the main results. © 2021, The Author(s).Article Citation - WoS: 14Citation - Scopus: 14Exact Controllability of Fractional Neutral Integro-Differential Systems With State-Dependent Delay in Banach Spaces(Sciendo, 2016) Arjunan, M. Mallika; Kailasavalli, S.; Baleanu, D.; Suganya, S.; Kalamani, PalaniyappanIn this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integrodifferential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.