dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Ghanbari, Behzad
|
|
dc.contributor.author |
Asad, Jihad H.
|
|
dc.contributor.author |
Jajarmi, Amin
|
|
dc.contributor.author |
Pirouz, Hassan Mohammadi
|
|
dc.date.accessioned |
2021-02-08T12:48:39Z |
|
dc.date.available |
2021-02-08T12:48:39Z |
|
dc.date.issued |
2020 |
|
dc.identifier.citation |
Baleanu, Dumitru...et al. (2020). "Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus", CMES-Computer Modeling in Engineering & Sciences, Vol. 124, No. 3, pp. 953-968. |
tr_TR |
dc.identifier.issn |
1526-1492 |
|
dc.identifier.issn |
1526-1506 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4551 |
|
dc.description.abstract |
In this work, a system of three masses on the vertices of equilateral triangle is investigated. This system is known in the literature as a planar system. We first give a description to the system by constructing its classical Lagrangian. Secondly, the classical Euler-Lagrange equations (i.e., the classical equations of motion) are derived. Thirdly, we fractionalize the classical Lagrangian of the system, and as a result, we obtain the fractional Euler-Lagrange equations. As the final step, we give the numerical simulations of the fractional model, a new model which is based on Caputo fractional derivative. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.32604/cmes.2020.010236 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Planar System |
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dc.subject |
Masses in Equilateral Triangle |
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dc.subject |
Springs |
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dc.subject |
Euler-Lagrange Equations |
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dc.subject |
Fractional Derivative |
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dc.title |
Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus |
tr_TR |
dc.type |
article |
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dc.relation.journal |
CMES-Computer Modeling in Engineering & Sciences |
tr_TR |
dc.contributor.authorID |
56389 |
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dc.identifier.volume |
124 |
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dc.identifier.issue |
3 |
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dc.identifier.startpage |
953 |
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dc.identifier.endpage |
968 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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