The fractional features of a harmonic oscillator with position-dependent mass
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Jajarmi, Amin | |
dc.contributor.author | Sajjadi, Samaneh Sadat | |
dc.contributor.author | Asad, Jihad H. | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2021-01-28T12:20:08Z | |
dc.date.available | 2021-01-28T12:20:08Z | |
dc.date.issued | 2020 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In 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.publishedMonth | 4 | |
dc.identifier.citation | Baleanu, 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.doi | 10.1088/1572-9494/ab7700 | |
dc.identifier.issn | 0253-6102 | |
dc.identifier.issn | 1572-9494 | |
dc.identifier.issue | 5 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/4481 | |
dc.identifier.volume | 72 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Communications in Theoretical Physics | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Position-Dependent Mass | en_US |
dc.subject | Harmonic Oscillator | en_US |
dc.subject | Euler-Lagrange Equations | en_US |
dc.subject | Fractional Derivative | en_US |
dc.title | The fractional features of a harmonic oscillator with position-dependent mass | tr_TR |
dc.title | The Fractional Features of a Harmonic Oscillator With Position-Dependent Mass | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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