Motion of a Spherical Particle in a Rotating Parabola Using Fractional Lagrangian
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Asad, J. H. | |
| dc.contributor.author | Alipour, M. | |
| dc.contributor.author | Blaszczyk, T. | |
| 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 | 2025-09-23T12:50:22Z | |
| dc.date.available | 2025-09-23T12:50:22Z | |
| dc.date.issued | 2017 | |
| dc.description | Asad, Jihad/0000-0002-6862-1634; Blaszczyk, Tomasz/0000-0002-2818-402X | en_US |
| dc.description.abstract | In this work, the fractional Lagrangian of a particle moving in a rotating parabola is used to obtain the fractional Euler- Lagrange equations of motion where derivatives within it are given in Caputo fractional derivative. The obtained fractional Euler- Lagrange equations are solved numerically by applying the Bernstein operational matrices with Tau method. The results obtained are very good and when the order of derivative closes to 1, they are in good agreement with those obtained in Ref. [10] using Multi step- Differential Transformation Method (Ms-DTM). | en_US |
| dc.identifier.citation | Baleanu, Dumitru...et al. (2017). "Motion Of A Spherical Particle In A Rotating Parabola Using Fractional Lagrangian", University Politehnica Of Bucharest Scientific Bulletin-Series A-Applied Mathematics And Physics, Vol. 79, No: 2, pp. 183-192. | en_US |
| dc.identifier.issn | 1223-7027 | |
| dc.identifier.scopus | 2-s2.0-85020305821 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15508 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Politehnica Bucharest, Sci Bull | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Fractional Derivatives | en_US |
| dc.subject | Riemann-Liouville Fractional Integral | en_US |
| dc.subject | Particle In A Rotating Parabola | en_US |
| dc.subject | Bernstein Operational Matrices | en_US |
| dc.title | Motion of a Spherical Particle in a Rotating Parabola Using Fractional Lagrangian | en_US |
| dc.title | Motion Of A Spherical Particle In A Rotating Parabola Using Fractional Lagrangian | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Asad, Jihad/0000-0002-6862-1634 | |
| gdc.author.id | Blaszczyk, Tomasz/0000-0002-2818-402X | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 8898843900 | |
| gdc.author.scopusid | 57220772685 | |
| gdc.author.scopusid | 35797143400 | |
| gdc.author.wosid | Alipour, Mohsen/Abg-9213-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Asad, Jihad/F-5680-2011 | |
| gdc.author.wosid | Asad, Jihad/P-2975-2016 | |
| gdc.author.wosid | Blaszczyk, Tomasz/M-9059-2014 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, D.] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, MG-23, Bucharest 76900, Romania; [Asad, J. H.] Palestine Tech Univ, Coll Arts & Sci, Dept Phys, POB 7, Tulkarm, Palestine; [Alipour, M.] Babol Noshirvani Univ Technol, Fac Basic Sci, Dept Math, POB 47148-71167, Babol Sar, Iran; [Blaszczyk, T.] Czestochowa Tech Univ, Inst Math, Al Armii Krajowej 21, PL-42201 Czestochowa, Poland | en_US |
| gdc.description.endpage | 192 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 183 | en_US |
| gdc.description.volume | 79 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000406126800019 | |
| gdc.scopus.citedcount | 2 | |
| gdc.wos.citedcount | 1 | |
| 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 |