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: 3A Note on Sobolev Form Fractional Integro-Differential Equation With State-Dependent Delay Via Resolvent Operators(Cambridge Scientific Publishers, 2017) Mallika, D.; Baleanu, Dumitru; Suganya, S.; Baleanu, D.; Arjunan, M.M.; MatematikThis paper explores the new existence and uniqueness of mild solutions for a class of Sobolev form fractional integro-differential equation (in short SFFIDE) with state-dependent delay (in short SDD) and nonlocal conditions (in short NLCs) via resolvent operators in Banach spaces. By making use of Banach contraction principle and Krasnoselskii fixed point theorem (in short FPT) along with resolvent operators and fractional calculus, we develop the sought outcomes. An illustration is furthermore provided to demonstrate the acquired concepts. © CSP - Cambridge, UK; I & S - Florida, USA, 2017.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.Article Citation - Scopus: 4Nonlocal Partial Fractional Evolution Equations With State Dependent Delay(Universidad Catolica del Norte, 2023) Baghli-Bendimerad, S.; Benchohra, M.; Karapınar, E.; Lachachi-Merad, N.In this work, we propose sufficient conditions guaranteeing an existence result of mild solutions by using the nonlinear Leray-Schauder alternative in Banach spaces combined with the semigroup theory for the class of Caputo partial semilinear fractional evolution equations with finite state-dependent delay and nonlocal conditions. © (2023), (SciELO-Scientific Electronic Library Online). All Rights Reserved.Article Citation - WoS: 1Citation - Scopus: 5Functional Delay Random Semilinear Differential Equations(Springernature, 2023) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Benaissa, AmelIn this paper, we study the existence of integral solutions of a functional differential equation with delay and random effects. We base our arguments on some suitable random fixed point theorem with stochastic domain and the integrated semigroup.Article Citation - WoS: 14Citation - Scopus: 13Hilfer Fractional Neutral Stochastic Differential Equations With Non-Instantaneous Impulses(Amer inst Mathematical Sciences-aims, 2021) Kasinathan, Ravikumar; Baleanu, Dumitru; Annamalai, Anguraj; Kasinathan, RamkumarThe aim of this manuscript is to investigate the existence of mild solution of Hilfer fractional neutral stochastic differential equations (HFNSDEs) with non-instantaneous impluses. We establish a new criteria to guarantee the sufficient conditions for a class of HFNSDEs with non-instantaneous impluses of order 0 < beta < 1 and type 0 <= alpha <= 1 is derived with the help of semigroup theory and fixed point approach, namely Monch fixed point theorem. Finally, a numerical example is provided to validate the theoretical 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.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.Article Citation - WoS: 5Citation - Scopus: 4Approximate Controllability of Second-Order Nonlocal Impulsive Functional Integro-Differential Systems in Banach Spaces(Korean Mathematical Soc, 2018) Arjunan, Mani Mallika; Nagaraj, Mahalingam; Suganya, Selvaraj; Baleanu, DumitruThis manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.