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Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Publisher: search.filters.publisher.Pergamon-elsevier Science LtdSubject: search.filters.subject.B-Metric Space

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  • Article
    Citation - WoS: 33
    Citation - Scopus: 35
    Nonlinear F-Contractions on B-Metric Spaces and Differential Equations in the Frame of Fractional Derivatives With Mittag-Leffler Kernel
    (Pergamon-elsevier Science Ltd, 2019) Jarad, Fahd; Karapinar, Erdal; Alqahtani, Badr; Fulga, Andreea
    In this manuscript, we aim to refine and characterize nonlinear F-contractions in a more general framework of b-metric spaces. We investigate the existence and uniqueness of such contractions in this setting. We discuss the solutions to differential equations in the setting of fractional derivatives involving Mittag-Leffler kernels (Atangana-Baleanu fractional derivative) by using nonlinear F-contractions that indicate the genuineness of the presented result. (C) 2019 Elsevier Ltd. All rights reserved.