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The fractional features of a harmonic oscillator with position-dependent mass

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorJajarmi, Amin
dc.contributor.authorSajjadi, Samaneh Sadat
dc.contributor.authorAsad, Jihad H.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-28T12:20:08Z
dc.date.available2021-01-28T12:20:08Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, a harmonic oscillator with position-dependent mass is investigated. Firstly, as an introduction, we give a full description of the system by constructing its classical Lagrangian; thereupon, we derive the related classical equations of motion such as the classical Euler-Lagrange equations. Secondly, we fractionalize the classical Lagrangian of the system, and then we obtain the corresponding fractional Euler-Lagrange equations (FELEs). As a final step, we give the numerical simulations corresponding to the FELEs within different fractional operators. Numerical results based on the Caputo and the Atangana-Baleanu-Caputo (ABC) fractional derivatives are given to verify the theoretical analysis.en_US
dc.description.publishedMonth4
dc.identifier.citationBaleanu, Dumitru...et al. (2020). "The fractional features of a harmonic oscillator with position-dependent mass", Communications in Theoretical Physics, Vol. 72, No. 5.en_US
dc.identifier.doi10.1088/1572-9494/ab7700
dc.identifier.issn0253-6102
dc.identifier.issn1572-9494
dc.identifier.issue5en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4481
dc.identifier.volume72en_US
dc.language.isoenen_US
dc.relation.ispartofCommunications in Theoretical Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPosition-Dependent Massen_US
dc.subjectHarmonic Oscillatoren_US
dc.subjectEuler-Lagrange Equationsen_US
dc.subjectFractional Derivativeen_US
dc.titleThe fractional features of a harmonic oscillator with position-dependent masstr_TR
dc.titleThe Fractional Features of a Harmonic Oscillator With Position-Dependent Massen_US
dc.typeArticleen_US
dspace.entity.typePublication

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