Scopus İndeksli Yayınlar Koleksiyonu

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

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Institution Author: search.filters.institutionAuthor.Abdeljawad, ThabetPublisher: search.filters.publisher.Pergamon-elsevier Science Ltd

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  • Article
    Citation - WoS: 80
    Citation - Scopus: 94
    Fixed Points for Generalized Weakly Contractive Mappings in Partial Metric Spaces
    (Pergamon-elsevier Science Ltd, 2011) Abdeljawad, Thabet
    Partial metric spaces were introduced by S. G. Matthews in 1994 as a part of the study of denotational semantics of dataflow networks. In this article, we prove fixed point theorems for generalized weakly contractive mappings on partial metric spaces. These theorems generalize many previously obtained results. An example is given to show that our generalization from metric spaces to partial metric spaces is real. (C) 2011 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 595
    Citation - Scopus: 680
    On Riemann and Caputo Fractional Differences
    (Pergamon-elsevier Science Ltd, 2011) Abdeljawad, Thabet
    In this paper, we define left and right Caputo fractional sums and differences, study some of their properties and then relate them to Riemann-Liouville ones studied before by Miller K. S. and Ross B., Atici F.M. and Eloe P. W., Abdeljawad T. and Baleanu D., and a few others. Also, the discrete version of the Q-operator is used to relate the left and right Caputo fractional differences. A Caputo fractional difference equation is solved. The solution proposes discrete versions of Mittag-Leffler functions. (C) 2011 Elsevier Ltd. All rights reserved.