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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