Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 5Citation - Scopus: 6A Note on Fractional Neutral Integro-Differential Inclusions With State-Dependent Delay in Banach Spaces(Eudoxus Press, Llc, 2016) Suganya, Selvaraj; Baleanu, Dumitru; Baleanu, Dumitru; Arjunan, Mani Mallika; MatematikWe have applied different fixed point theorems to examine the existence results for fractional neutral integro-differential inclusions (FNIDI) with state-dependent delay (SDD) in Banach spaces. We tend to conjointly discuss the cases once the multivalued nonlinear term takes convex values further as nonconvex values. An example is offered to demonstrate the obtained results.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 A Note on Non-Instantaneous Impulsive Fractional Neutral Integro-Differential Systems With State-Dependent Delay in Banach Spaces(Eudoxus Press, LLC, 2018) Suganya, S.; Baleanu, D.; Kalamani, P.; Arjunan, M.M.In this research, we establish the existence results for non-instantaneous impulsive fractional neutral integro-differential systems with state-dependent delay in Banach space. By utilizing the Banach contraction principle and condensing fixed point theorem coupled with semigroup theory, we build up the desired results. To acquire the main results, our working concepts are that the functions deciding the equation fulfill certain Lipschitz conditions of local type which is similar to the hypotheses [5]. In the end, an example is given to show the abstract theory. © 2018 by Eudoxus Press, LLC. All rights reserved.