On Riemann and Caputo Fractional Differences
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2017-01-23T11:24:54Z | |
| dc.date.accessioned | 2025-09-18T15:43:59Z | |
| dc.date.available | 2017-01-23T11:24:54Z | |
| dc.date.available | 2025-09-18T15:43:59Z | |
| dc.date.issued | 2011 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| 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. (C) 2011 Elsevier Ltd. All rights reserved. | en_US |
| 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 | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2011.03.036 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.scopus | 2-s2.0-79960975255 | |
| dc.identifier.uri | https://doi.org/10.1016/j.camwa.2011.03.036 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14107 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Computers & Mathematics with Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Left Fractional Sum | en_US |
| dc.subject | Right Fractional Sum | en_US |
| dc.subject | Caputo Left And Right Fractional Differences | en_US |
| dc.subject | Left And Right Riemann Differences | en_US |
| dc.subject | Discrete Mittag-Leffler Function | en_US |
| dc.title | On Riemann and Caputo Fractional Differences | en_US |
| dc.title | On Riemann and Caputo fractional differences | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 1611 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 62 | en_US |
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| gdc.oaire.keywords | Computational Mathematics | |
| gdc.oaire.keywords | Right fractional sum | |
| gdc.oaire.keywords | Left and right Riemann differences | |
| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Caputo left and right fractional differences | |
| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Left fractional sum | |
| gdc.oaire.keywords | Discrete Mittag-Leffler function | |
| gdc.oaire.keywords | discrete Mittag-Leffler function | |
| gdc.oaire.keywords | left fractional sum | |
| gdc.oaire.keywords | left and right Riemann differences | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | right fractional sum | |
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