The Fractional Features of a Harmonic Oscillator With Position-Dependent Mass
| dc.contributor.author | Jajarmi, Amin | |
| dc.contributor.author | Sajjadi, Samaneh Sadat | |
| dc.contributor.author | Asad, Jihad H. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2021-01-28T12:20:08Z | |
| dc.date.accessioned | 2025-09-18T12:10:10Z | |
| dc.date.available | 2021-01-28T12:20:08Z | |
| dc.date.available | 2025-09-18T12:10:10Z | |
| dc.date.issued | 2020 | |
| dc.description | Jajarmi, Amin/0000-0003-2768-840X; Sajjadi, Samaneh Sadat/0000-0001-7215-885X; Asad, Jihad/0000-0002-6862-1634 | 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.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.scopus | 2-s2.0-85084537590 | |
| dc.identifier.uri | https://doi.org/10.1088/1572-9494/ab7700 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11643 | |
| dc.language.iso | en | en_US |
| dc.publisher | Iop Publishing Ltd | en_US |
| dc.relation.ispartof | Communications in Theoretical Physics | |
| 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 | en_US |
| dc.title | The fractional features of a harmonic oscillator with position-dependent mass | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jajarmi, Amin/0000-0003-2768-840X | |
| gdc.author.id | Sajjadi, Samaneh Sadat/0000-0001-7215-885X | |
| gdc.author.id | Asad, Jihad/0000-0002-6862-1634 | |
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| gdc.author.wosid | Jajarmi, Amin/O-7701-2019 | |
| gdc.author.wosid | Sajjadi, Samaneh/Aad-3326-2020 | |
| gdc.author.wosid | Asad, Jihad/F-5680-2011 | |
| gdc.author.wosid | Asad, Jihad/P-2975-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Fac Arts & Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania; [Jajarmi, Amin] Univ Bojnord, Dept Elect Engn, POB 94531-1339, Bojnord, Iran; [Sajjadi, Samaneh Sadat] Hakim Sabzevari Univ, Dept Elect & Comp Engn, Sabzevar, Iran; [Asad, Jihad H.] Palestine Tech Univ, Coll Arts & Sci, Dept Phys, POB 7, Tulkarm, Palestine | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 055002 | |
| gdc.description.volume | 72 | en_US |
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