Numerical Solution of the Fractional Euler-lagrange's Equations of a Thin Elastica Model
| dc.contributor.author | Asad, Jihad H. | |
| dc.contributor.author | Petras, Ivo | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2017-03-29T10:41:50Z | |
| dc.date.accessioned | 2025-09-18T12:09:07Z | |
| dc.date.available | 2017-03-29T10:41:50Z | |
| dc.date.available | 2025-09-18T12:09:07Z | |
| dc.date.issued | 2015 | |
| dc.description | Asad, Jihad/0000-0002-6862-1634; Petras, Ivo/0000-0002-9250-6986 | en_US |
| dc.description.abstract | In this manuscript, we investigated the fractional thin elastic system. We studied the obtained fractional Euler-Lagrange's equations of the system numerically. The numerical study is based on Grunwald-Letnikov approach, which is power series expansion of the generating function. We present an illustrative example of the proposed numerical model of the system. | en_US |
| dc.description.publishedMonth | 7 | |
| dc.description.sponsorship | [VEGA: 1/0552/14]; [1/0908/15]; [APVV -0482-11] | en_US |
| dc.description.sponsorship | The work of Ivo Petras was supported in part by Grants VEGA: 1/0552/14, 1/0908/15, and APVV -0482-11. | en_US |
| dc.identifier.citation | Baleanu, D., Asad, J.H., Petras, I. (2015). Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model. Nonlinear Dynamics, 81(1-2), 97-102. http://dx.doi.org/10.1007/s11071-015-1975-7 | en_US |
| dc.identifier.doi | 10.1007/s11071-015-1975-7 | |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.issn | 1573-269X | |
| dc.identifier.scopus | 2-s2.0-84930760955 | |
| dc.identifier.uri | https://doi.org/10.1007/s11071-015-1975-7 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11320 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Riemann-Liouville Derivatives | en_US |
| dc.subject | Vibration | en_US |
| dc.subject | Thin Elastica | en_US |
| dc.subject | Fractional Euler-Lagrange Equations | en_US |
| dc.subject | Grunwald-Letnikov Approach | en_US |
| dc.title | Numerical Solution of the Fractional Euler-lagrange's Equations of a Thin Elastica Model | en_US |
| dc.title | Numerical solution of the fractional Euler-Lagrange's equations of a thin elastica model | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Asad, Jihad/0000-0002-6862-1634 | |
| gdc.author.id | Petras, Ivo/0000-0002-9250-6986 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 8898843900 | |
| gdc.author.scopusid | 23975184900 | |
| gdc.author.wosid | Asad, Jihad/F-5680-2011 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Asad, Jihad/P-2975-2016 | |
| gdc.author.wosid | Petras, Ivo/B-1393-2009 | |
| 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, Bucharest 76900, Romania; [Asad, Jihad H.] Palestine Tech Univ, Coll Arts & Sci, Dept Phys, Tulkarm, Israel; [Petras, Ivo] Tech Univ Kosice, BERG Fac, Kosice 04200, Slovakia | en_US |
| gdc.description.endpage | 102 | en_US |
| gdc.description.issue | 1-2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 97 | en_US |
| gdc.description.volume | 81 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2152204543 | |
| gdc.identifier.wos | WOS:000355919700008 | |
| gdc.openalex.fwci | 1.46878232 | |
| gdc.openalex.normalizedpercentile | 0.85 | |
| gdc.opencitations.count | 15 | |
| gdc.plumx.crossrefcites | 11 | |
| gdc.plumx.mendeley | 9 | |
| gdc.plumx.scopuscites | 22 | |
| gdc.scopus.citedcount | 22 | |
| gdc.wos.citedcount | 21 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |