Fractional Treatment: an Accelerated Mass-Spring System
| dc.contributor.author | Defterli, Ozlem | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Defterli, Özlem | |
| dc.contributor.author | Jajarmi, Amin | |
| dc.contributor.author | Sajjadi, Samaneh Sadat | |
| dc.contributor.author | Alshaikh, Noorhan | |
| dc.contributor.author | Asad, Jihad H. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.authorID | 31401 | 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 | 2025-09-23T12:48:52Z | |
| dc.date.available | 2025-09-23T12:48:52Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The aim of this manuscript is to study the dynamics of the motion of an accelerated mass-spring system within fractional calculus. To investigate the described system, firstly, we construct the corresponding Lagrangian and derive the classical equations of motion using the Euler-Lagrange equations of integer-order. Furthermore, the generalized Lagrangian is introduced by using non-integer, so-called fractional, derivative operators; then the resulting fractional Euler-Lagrange equations are generated and solved numerically. The obtained results are presented illustratively by using numerical simulations. | en_US |
| dc.description.sponsorship | Scientific and Technical Research Council of Turkiye (TUBITAK) | en_US |
| dc.description.sponsorship | This work is partially supported by the Scientific and Technical Research Council of Turkiye (TUBITAK). | en_US |
| dc.identifier.citation | Defterli, Özlem;...et.al. (2022). "Fractional Treatment: An Accelerated Mass-Spring System", Romanian Reports in Physics, Vol.74, No.4. | en_US |
| dc.identifier.issn | 1221-1451 | |
| dc.identifier.issn | 1841-8759 | |
| dc.identifier.scopus | 2-s2.0-85141854460 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15327 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Mass-Spring System | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Fractional Lagrangian | en_US |
| dc.subject | Approximation Method | en_US |
| dc.title | Fractional Treatment: an Accelerated Mass-Spring System | en_US |
| dc.title | Fractional Treatment: An Accelerated Mass-Spring System | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Defterli, Özlem | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 8546136600 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 34880044900 | |
| gdc.author.scopusid | 56306064100 | |
| gdc.author.scopusid | 57743079400 | |
| gdc.author.scopusid | 8898843900 | |
| gdc.author.wosid | Sajjadi, Samaneh/Aad-3326-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Asad, Jihad/F-5680-2011 | |
| gdc.author.wosid | Defterli, Ozlem/Aah-2521-2020 | |
| gdc.author.wosid | Jajarmi, Amin/O-7701-2019 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Defterli, Ozlem; Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG 23, Bucharest 76900, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Jajarmi, Amin] Univ Bojnord, Dept Elect Engn, POB 945311339, Bojnord, Iran; [Sajjadi, Samaneh Sadat] RMIT Univ, Sch Engn, Melbourne, Vic, Australia; [Alshaikh, Noorhan; Asad, Jihad H.] Palestine Tech Univ, Dept Phys, Coll Arts & Sci, POB 7, Tulkarm, Palestine | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 74 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000884295200006 | |
| gdc.scopus.citedcount | 116 | |
| gdc.wos.citedcount | 103 | |
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