Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Asad, J. H. | |
| dc.contributor.author | Petras, I. | |
| dc.contributor.author | Elagan, S. | |
| dc.contributor.author | Bilgen, A. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2025-09-23T12:51:00Z | |
| dc.date.available | 2025-09-23T12:51:00Z | |
| dc.date.issued | 2012 | |
| dc.description | Petras, Ivo/0000-0002-9250-6986; Asad, Jihad/0000-0002-6862-1634; Elagan, Sayed/0000-0003-4781-5445 | en_US |
| dc.description.abstract | A study of the fractional Lagrangian of the so-called Caldirola-Kanai oscillator is presented. The fractional Euler-Lagrangian equations of the system have been obtained, and the obtained Euler-Lagrangian equations have been studied 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, D...et al. (2012). "FRACTIONAL EULER-LAGRANGE EQUATION OF CALDIROLA-KANAI OSCILLATOR, Romanian Reports In Physics, Vol. 64, pp. 1171-1177. | en_US |
| dc.identifier.issn | 1221-1451 | |
| dc.identifier.issn | 1841-8759 | |
| dc.identifier.scopus | 2-s2.0-84879528675 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15582 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Riemann-Liouville Derivatives | en_US |
| dc.subject | Caldirola-Kanai Oscillator | en_US |
| dc.subject | Grunwald-Letnikov Approach | en_US |
| dc.title | Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator | en_US |
| dc.title | Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Petras, Ivo/0000-0002-9250-6986 | |
| gdc.author.id | Asad, Jihad/0000-0002-6862-1634 | |
| gdc.author.id | Elagan, Sayed/0000-0003-4781-5445 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 8898843900 | |
| gdc.author.scopusid | 23975184900 | |
| gdc.author.scopusid | 14830266500 | |
| gdc.author.scopusid | 55777055400 | |
| gdc.author.wosid | Elagan, Sayed K/Jwa-0304-2024 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Asad, Jihad/F-5680-2011 | |
| gdc.author.wosid | Petras, Ivo/B-1393-2009 | |
| gdc.author.wosid | Asad, Jihad/P-2975-2016 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, D.; Bilgen, A.] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele, Romania; [Asad, J. H.] Tabuk Univ, Dept Phys, Tabuk 71491, Saudi Arabia; [Petras, I.] Tech Univ Kosice, BERG Fac, Kosice 04200, Slovakia; [Elagan, S.] Taif Univ, Fac Sci, Dept Math & Stat, At Taif, Saudi Arabia | en_US |
| gdc.description.endpage | 1177 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1171 | en_US |
| gdc.description.volume | 64 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000311820300004 | |
| gdc.scopus.citedcount | 27 | |
| gdc.wos.citedcount | 25 | |
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