Applications of the Extended Fractional Euler-Lagrange Equations Model To Freely Oscillating Dynamical Systems
| dc.authorscopusid | 57189377610 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorscopusid | 6701790086 | |
| dc.authorscopusid | 57201278122 | |
| dc.contributor.author | Agila,A. | |
| dc.contributor.author | Baleanu,D. | |
| dc.contributor.author | Eid,R. | |
| dc.contributor.author | Irfanoglu,B. | |
| dc.contributor.other | Department of Mechatronics Engineering | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-10-06T11:15:43Z | |
| dc.date.available | 2024-10-06T11:15:43Z | |
| dc.date.issued | 2016 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | Agila A., Modeling & Design of Engineering Systems, Graduate School of Natural & Applied Sciences, Atilim University, Incek, 06836, Ankara, Turkey; Baleanu D., Department of Mathematics and Computer, The Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania; Eid R., Department of Mathematics, Atilim University, Incek, 06836, Ankara, Turkey; Irfanoglu B., Department of Mechatronics Engineering, Atilim University, Incek, 06836, Ankara, Turkey | en_US |
| dc.description.abstract | The fractional calculus and the calculus of variations are utilized to model and control complex dynamical systems. Those systems are presented more accurately by means of fractional models. In this study, an extended version of the fractional Euler-Lagrange equations is introduced. In these equations the damping force term is extended to be proportional to the fractional derivative of the displacement with variable fractional order. The finite difference methods and the Coimbra fractional derivative are used to approximate the solution of the introduced fractional Euler-Lagrange equations model. The free oscillating single pendulum system is investigated. © 2016, Editura Academiei Romane. All rights reserved. | en_US |
| dc.identifier.citationcount | 55 | |
| dc.identifier.endpage | 359 | en_US |
| dc.identifier.issn | 1221-146X | |
| dc.identifier.issue | 3-4 | en_US |
| dc.identifier.scopus | 2-s2.0-84969922854 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 350 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/9462 | |
| dc.identifier.volume | 61 | en_US |
| dc.identifier.wosquality | Q3 | |
| dc.institutionauthor | Eid, Rajeh | |
| dc.institutionauthor | İrfanoğlu, Bülent | |
| dc.language.iso | en | en_US |
| dc.publisher | Publishing House of the Romanian Academy | en_US |
| dc.relation.ispartof | Romanian Journal of Physics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 56 | |
| dc.subject | Coimbra fractional derivative | en_US |
| dc.subject | Finite difference methods | en_US |
| dc.subject | Fractional Euler-Lagrange equations | en_US |
| dc.subject | Single pendulum | en_US |
| dc.title | Applications of the Extended Fractional Euler-Lagrange Equations Model To Freely Oscillating Dynamical Systems | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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