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On Riemann and Caputo fractional differences

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dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2017-01-23T11:24:54Z
dc.date.available 2017-01-23T11:24:54Z
dc.date.issued 2011-08
dc.identifier.citation Abdeljawad, T. (2011). On Riemann and Caputo fractional differences. Computers&Mathematics With Applications, 62(3), 1602-1611. http://dx.doi.org/10.1016/j.camwa.2011.03.036 tr_TR
dc.identifier.issn 0898-1221
dc.identifier.uri http://hdl.handle.net/20.500.12416/1237
dc.description.abstract 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 tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science Ltd tr_TR
dc.relation.isversionof 10.1016/j.camwa.2011.03.036 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Left Fractional Sum tr_TR
dc.subject Right Fractional Sum tr_TR
dc.subject Caputo Left And Right Fractional Differences tr_TR
dc.subject Left And Right Riemann Differences tr_TR
dc.subject Discrete Mittag-Leffler Function tr_TR
dc.title On Riemann and Caputo fractional differences tr_TR
dc.type article tr_TR
dc.relation.journal Computers&Mathematics With Applications tr_TR
dc.identifier.volume 62 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 1602 tr_TR
dc.identifier.endpage 1611 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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