dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Jajarmi, Amin
|
|
dc.contributor.author |
Sajjadi, Samaneh Sadat
|
|
dc.contributor.author |
Asad, Jihad H.
|
|
dc.date.accessioned |
2021-01-28T12:20:08Z |
|
dc.date.available |
2021-01-28T12:20:08Z |
|
dc.date.issued |
2020-04-01 |
|
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. |
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dc.identifier.issn |
0253-6102 |
|
dc.identifier.issn |
1572-9494 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4481 |
|
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. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1088/1572-9494/ab7700 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Position-Dependent Mass |
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dc.subject |
Harmonic Oscillator |
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dc.subject |
Euler-Lagrange Equations |
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dc.subject |
Fractional Derivative |
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dc.title |
The fractional features of a harmonic oscillator with position-dependent mass |
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dc.type |
article |
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dc.relation.journal |
Communications in Theoretical Physics |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
72 |
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dc.identifier.issue |
5 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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