Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Now showing 1 - 7 of 7
  • Article
    Citation - WoS: 5
    Citation - Scopus: 6
    A 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; Matematik
    We 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: 3
    A 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.; Matematik
    This 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: 1
    Existence 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.; Matematik
    In 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 - WoS: 1
    Citation - Scopus: 5
    Functional Delay Random Semilinear Differential Equations
    (Springernature, 2023) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Benaissa, Amel
    In 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: 5
    Citation - Scopus: 4
    Approximate 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, Dumitru
    This 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.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 4
    Existence Results for Fractional Evolution Systems With Riemann-Liouville Fractional Derivatives and Nonlocal Conditions
    (Ios Press, 2017) Arjunan, M. Mallika; Mallika, D.; Baleanu, D.; Kalamani, P.; Baleanuy, D.; Mallika Arjunan, M.
    Based on concepts for semigroup theory, fractional calculus, Banach contraction principle and Krasnoselskii fixed point theorem (FPT), this manuscript is principally involved with existence results of Riemann-Liouville (RL) fractional neutral integro-differential systems (FNIDS) with nonlocal conditions (NLCs) in Banach spaces. An example is offered to demonstrate the theoretical concepts.