APPLICATIONS OF THE EXTENDED FRACTIONAL EULER-LAGRANGE EQUATIONS MODEL TO FREELY OSCILLATING DYNAMICAL SYSTEMS

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dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.contributor.author Agila, Adel
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Eid, Rajeh
dc.contributor.author Irfanoglu, Bulent
dc.contributor.other Department of Mechatronics Engineering
dc.contributor.other Mathematics
dc.date.accessioned 2024-10-06T11:12:15Z
dc.date.available 2024-10-06T11:12:15Z
dc.date.issued 2016
dc.department Atılım University en_US
dc.department-temp [Agila, Adel] Atilim Univ, Grad Sch Nat & Appl Sci, Modeling & Design Engn Syst PhD Program, TR-06836 Incek Ankara, Turkey; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Eid, Rajeh] Atilim Univ, Dept Math, TR-06836 Incek Ankara, Turkey; [Irfanoglu, Bulent] Atilim Univ, Dept Mechatron Engn, TR-06836 Incek 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. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.citationcount 48
dc.identifier.endpage 359 en_US
dc.identifier.issn 1221-146X
dc.identifier.issue 3-4 en_US
dc.identifier.scopusquality Q3
dc.identifier.startpage 350 en_US
dc.identifier.uri https://hdl.handle.net/20.500.14411/9129
dc.identifier.volume 61 en_US
dc.identifier.wos WOS:000376474500005
dc.identifier.wosquality Q3
dc.institutionauthor Eid, Rajeh
dc.institutionauthor İrfanoğlu, Bülent
dc.language.iso en en_US
dc.publisher Editura Acad Romane en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Single Pendulum en_US
dc.subject Fractional Euler-Lagrange Equations en_US
dc.subject Finite Difference Methods en_US
dc.subject Coimbra Fractional Derivative 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
dc.wos.citedbyCount 48
dspace.entity.type Publication
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