Fractional Pais-Uhlenbeck Oscillator
| dc.contributor.author | Petras, Ivo | |
| dc.contributor.author | Asad, Jihad H. | |
| dc.contributor.author | Pilar Velasco, Maria | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-04-07T19:29:48Z | |
| dc.date.accessioned | 2025-09-18T14:09:05Z | |
| dc.date.available | 2020-04-07T19:29:48Z | |
| dc.date.available | 2025-09-18T14:09:05Z | |
| dc.date.issued | 2012 | |
| dc.description | Baleanu, Dumitru/0000-0002-0286-7244; Asad, Jihad/0000-0002-6862-1634; Velasco, M. Pilar/0000-0002-0988-2527; Petras, Ivo/0000-0002-9250-6986; Asad, Jihad/0000-0001-5656-5471 | en_US |
| dc.description.abstract | In this paper we study the fractional Lagrangian of Pais-Uhlenbeck oscillator. We obtained the fractional Euler-Lagrangian equation of the system and then we studied the obtained Euler-Lagrangian equation numerically. The numerical study is based on the so-called Grunwald-Letnikov approach, which is power series expansion of the generating function (backward and forward difference) and it can be easy derived from the Grunwald-Letnikov definition of the fractional derivative. This approach is based on the fact, that Riemman-Liouville fractional derivative is equivalent to the Grunwald-Letnikov derivative for a wide class of the functions. | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2012). "Fractional Pais-Uhlenbeck Oscillator", International Journal of Theoretical Physics, Vol. 51. No. 4. pp. 1253-1258. | en_US |
| dc.identifier.doi | 10.1007/s10773-011-1000-y | |
| dc.identifier.issn | 0020-7748 | |
| dc.identifier.issn | 1572-9575 | |
| dc.identifier.scopus | 2-s2.0-84858408603 | |
| dc.identifier.uri | https://doi.org/10.1007/s10773-011-1000-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13263 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer/plenum Publishers | en_US |
| dc.relation.ispartof | International Journal of Theoretical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Riemann-Liouville Derivatives | en_US |
| dc.subject | Pais-Uhlenbeck Oscillator | en_US |
| dc.subject | Grunwald-Letnikov Approach | en_US |
| dc.title | Fractional Pais-Uhlenbeck Oscillator | en_US |
| dc.title | Fractional Pais-Uhlenbeck Oscillator | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Baleanu, Dumitru/0000-0002-0286-7244 | |
| gdc.author.id | Asad, Jihad/0000-0002-6862-1634 | |
| gdc.author.id | Velasco, M. Pilar/0000-0002-0988-2527 | |
| gdc.author.id | Petras, Ivo/0000-0002-9250-6986 | |
| gdc.author.id | Asad, Jihad/0000-0001-5656-5471 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Asad, Jihad/P-2975-2016 | |
| gdc.author.wosid | Velasco, M. Pilar/G-6747-2015 | |
| gdc.author.wosid | Petras, Ivo/B-1393-2009 | |
| gdc.author.wosid | Asad, Jihad/F-5680-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 76900, Romania; [Petras, Ivo] Tech Univ Kosice, BERG Fac, Kosice 04200, Slovakia; [Asad, Jihad H.] Tabuk Univ, Dept Phys, Tabuk 71491, Saudi Arabia; [Pilar Velasco, Maria] Univ Complutense Madrid, Dept Matemat Aplicada, Fac Matemat, E-28040 Madrid, Spain | en_US |
| gdc.description.endpage | 1258 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1253 | en_US |
| gdc.description.volume | 51 | en_US |
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| gdc.oaire.keywords | power series expansion | |
| gdc.oaire.keywords | Free motions in linear vibration theory | |
| gdc.oaire.keywords | Riemann-Liouville derivative | |
| gdc.oaire.keywords | generating function | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Grünwald-Letnikov derivative | |
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