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Novel Fractional-Order Lagrangian to Describe Motion of Beam on Nanowire

dc.contributor.authorErturk, V. S.
dc.contributor.authorGodwe, E.
dc.contributor.authorBaleanu, D.
dc.contributor.authorKumar, P.
dc.contributor.authorAsad, J.
dc.contributor.authorJajarmi, A.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-08-23T08:01:23Z
dc.date.available2022-08-23T08:01:23Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractOur aim in this research is to investigate the motion of a beam on an internally bent nanowire by using the fractional calculus theory. To this end, we first formulate the classical Lagrangian which is followed by the classical Euler-Lagrange equation. Then, after introducing the generalized fractional Lagrangian, the fractional Euler-Lagrange equation is provided for the motion of the considered beam on the nanowire. An efficient numerical scheme is introduced for implementation and the simulation results are reported for different fractional-order values and various initial settings. These results indicate that the fractional responses approach the classical ones as the fractional order goes to unity. In addition, the fractional Euler-Lagrange equation provides a flexible model possessing more information than the classical description the fact that leads to a considerably better evaluation of the hidden features of the real system under investigation.en_US
dc.description.publishedMonth11
dc.identifier.citationErturk, V. S...et al. (2021). "Novel Fractional-Order Lagrangian to Describe Motion of Beam on Nanowire", ACTA PHYSICA POLONICA A, Vol. 140, No. 3, pp. 265-272.en_US
dc.identifier.doi10.12693/APhysPolA.140.265
dc.identifier.endpage272en_US
dc.identifier.issn0587-4246
dc.identifier.issue3en_US
dc.identifier.startpage265en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5743
dc.identifier.volume140en_US
dc.language.isoenen_US
dc.relation.ispartofACTA PHYSICA POLONICA Aen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDYNAMICS; MECHANICS; EQUATIONSen_US
dc.titleNovel Fractional-Order Lagrangian to Describe Motion of Beam on Nanowiretr_TR
dc.titleNovel Fractional-Order Lagrangian To Describe Motion of Beam on Nanowireen_US
dc.typeArticleen_US
dspace.entity.typePublication

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