On Delta and Nabla Caputo Fractional Differences and Dual Identities
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2017-03-16T13:39:42Z | |
| dc.date.accessioned | 2025-09-18T16:07:30Z | |
| dc.date.available | 2017-03-16T13:39:42Z | |
| dc.date.available | 2025-09-18T16:07:30Z | |
| dc.date.issued | 2013 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| 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. | en_US |
| dc.description.sponsorship | Prince Salman Research and Translation Center in Prince Sultan University; Prince Sultan University, Riyadh, KSA [IBRP-OYP-2012-5-1] | en_US |
| dc.description.sponsorship | The author would like to thank Prince Salman Research and Translation Center in Prince Sultan University for the financial support. This is part of the project (IBRP-OYP-2012-5-1) supported by Prince Sultan University, Riyadh, KSA, in 2013. | en_US |
| 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 | en_US |
| dc.identifier.doi | 10.1155/2013/406910 | |
| dc.identifier.issn | 1026-0226 | |
| dc.identifier.issn | 1607-887X | |
| dc.identifier.scopus | 2-s2.0-84881515352 | |
| dc.identifier.uri | https://doi.org/10.1155/2013/406910 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14765 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Discrete Dynamics in Nature and Society | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | On Delta and Nabla Caputo Fractional Differences and Dual Identities | en_US |
| dc.title | On delta and nabla caputo fractional differences and dual identities | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Phys Sci, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 12 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2013 | en_US |
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