Scopus İndeksli Yayınlar Koleksiyonu

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

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Author: search.filters.author.Baleanu, DumitruSubject: search.filters.subject.State-Dependent Delay

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Now showing 1 - 5 of 5
  • 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
    Citation - WoS: 22
    Citation - Scopus: 28
    On Existence Results for Impulsive Fractional Neutral Stochastic Integro-Differential Equations With Nonlocal and State-Dependent Delay Conditions
    (Springer, 2016) Baleanu, Dumitru; Selvarasu, Siva; Arjunan, Mani Mallika; Kalamani, Palaniyappan; Mallika Arjunan, Mani
    This manuscript deals with a new set of sufficient conditions for the existence of solutions for a class of impulsive fractional neutral stochastic integro-differential systems (IFNSIDS) with nonlocal conditions (NLCs) and state-dependent delay (SDD) in Hilbert spaces. An example is provided to illustrate the obtained theory.
  • Article
    Citation - WoS: 28
    Citation - Scopus: 39
    On Fractional Neutral Integro-Differential Systems With State-Dependent Delay and Non-Instantaneous Impulses
    (Springeropen, 2015) Baleanu, Dumitru; Kalamani, Palaniyappan; Arjunan, Mani Mallika; Suganya, Selvaraj; Mallika Arjunan, Mani
    In this manuscript, we work to actualize the Darbo Banas and Goebel in Measure of Noncompactness in Banach Space. Lecture Notes in Pure and Applied Mathematics, 1980) fixed point theorem (FPT) coupled with the Hausdorff measure of non-compactness to analyze the existence results for an impulsive fractional neutral integro-differential equation (IFNIDE) with state- dependent delay (SDD) and non- instantaneous impulses (NII) in Banach spaces. Finally, examples are offered to demonstrate the concept.