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Browsing by Author "Kalamani, P."

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    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.; 56389; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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.
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    Citation - WoS: 3
    Citation - Scopus: 5
    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.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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.
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    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.; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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.