dc.contributor.author |
Defterli, Ozlem
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Jajarmi, Amin
|
|
dc.contributor.author |
Sajjadi, Samaneh Sadat
|
|
dc.contributor.author |
Alshaikh, Noorhan
|
|
dc.contributor.author |
Asad, Jihad H.
|
|
dc.date.accessioned |
2024-03-27T12:33:03Z |
|
dc.date.available |
2024-03-27T12:33:03Z |
|
dc.date.issued |
2022 |
|
dc.identifier.citation |
Defterli, Özlem;...et.al. (2022). "Fractional Treatment: An Accelerated Mass-Spring System", Romanian Reports in Physics, Vol.74, No.4. |
tr_TR |
dc.identifier.issn |
12211451 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/7765 |
|
dc.description.abstract |
The aim of this manuscript is to study the dynamics of the motion of an accelerated mass-spring system within fractional calculus. To investigate the described system, firstly, we construct the corresponding Lagrangian and derive the classical equations of motion using the Euler-Lagrange equations of integer-order. Furthermore, the generalized Lagrangian is introduced by using non-integer, so-called fractional, derivative operators; then the resulting fractional Euler-Lagrange equations are generated and solved numerically. The obtained results are presented illustratively by using numerical simulations. |
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dc.language.iso |
eng |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Approximation Method |
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dc.subject |
Fractional Lagrangian |
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dc.subject |
Laplace Transform |
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dc.subject |
Mass-Spring System |
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dc.title |
Fractional Treatment: An Accelerated Mass-Spring System |
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dc.type |
article |
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dc.relation.journal |
Romanian Reports in Physics |
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dc.contributor.authorID |
56389 |
tr_TR |
dc.contributor.authorID |
31401 |
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dc.identifier.volume |
74 |
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dc.identifier.issue |
4 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü |
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