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On delta and nabla caputo fractional differences and dual identities

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dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2017-03-16T13:39:42Z
dc.date.available 2017-03-16T13:39:42Z
dc.date.issued 2013
dc.identifier.citation Abdeljawad, T. (2013). On delta and nabla caputo fractional differences and dual identities. Discrete Dynamics In Nature And Society. http://dx.doi.org/10.1155/2013/406910 tr_TR
dc.identifier.issn 1026-0226
dc.identifier.uri http://hdl.handle.net/20.500.12416/1491
dc.description.abstract We investigate two types of dual identities for Caputo fractional differences. The first type relates nabla and delta type fractional sums and differences. The second type represented by the Q-operator relates left and right fractional sums and differences. Two types of Caputo fractional differences are introduced; one of them (dual one) is defined so that it obeys the investigated dual identities. The relation between Riemann and Caputo fractional differences is investigated, and the delta and nabla discrete Mittag-Leffler functions are confirmed by solving Caputo type linear fractional difference equations. A nabla integration by parts formula is obtained for Caputo fractional differences as well tr_TR
dc.language.iso eng tr_TR
dc.publisher Hindawi Publishing Corporation tr_TR
dc.relation.isversionof 10.1155/2013/406910 tr_TR
dc.rights info:eu-repo/semantics/openAccess
dc.subject Calculus tr_TR
dc.subject Equations tr_TR
dc.title On delta and nabla caputo fractional differences and dual identities tr_TR
dc.type article tr_TR
dc.relation.journal Discrete Dynamics In Nature And Society tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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