Applications of the Extended Fractional Euler-Lagrange Equations Model To Freely Oscillating Dynamical Systems

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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.contributor.other 02. School of Arts and Sciences
dc.contributor.other 01. Atılım University
dc.date.accessioned 2024-10-06T11:15:43Z
dc.date.available 2024-10-06T11:15:43Z
dc.date.issued 2016
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.issn 1221-146X
dc.identifier.scopus 2-s2.0-84969922854
dc.identifier.uri https://hdl.handle.net/20.500.14411/9462
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.rights info:eu-repo/semantics/closedAccess en_US
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
gdc.author.institutional Eid, Rajeh
gdc.author.institutional İrfanoğlu, Bülent
gdc.author.scopusid 57189377610
gdc.author.scopusid 7005872966
gdc.author.scopusid 6701790086
gdc.author.scopusid 57201278122
gdc.coar.access metadata only access
gdc.coar.type text::journal::journal article
gdc.description.department Atılım University en_US
gdc.description.departmenttemp 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
gdc.description.endpage 359 en_US
gdc.description.issue 3-4 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 350 en_US
gdc.description.volume 61 en_US
gdc.description.wosquality Q3
gdc.scopus.citedcount 56
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