dc.contributor.author |
Coronel-Escamilla, Antonio
|
|
dc.contributor.author |
Francisco Gomez-Aguilar, Jose
|
|
dc.contributor.author |
Baleanu, Dumitru
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|
dc.contributor.author |
Cordova Fraga, Teodoro
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|
dc.contributor.author |
Fabricio Escobar-Jimenez, Ricardo
|
|
dc.contributor.author |
Olivares-Peregrino, Victor H.
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|
dc.contributor.author |
Al Qurashi, Maysaa Mohamed
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|
dc.date.accessioned |
2019-12-18T10:35:35Z |
|
dc.date.available |
2019-12-18T10:35:35Z |
|
dc.date.issued |
2017-02 |
|
dc.identifier.citation |
Coronel-Escamilla, Antonio...et al. (2017). Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation, Entropy, 19(2). |
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dc.identifier.issn |
1099-4300 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/2169 |
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dc.description.abstract |
In this work, the study of the fractional behavior of the Bateman-Feshbach-Tikochinsky and Caldirola-Kanai oscillators by using different fractional derivatives is presented. We obtained the Euler-Lagrange and the Hamiltonian formalisms in order to represent the dynamic models based on the Liouville-Caputo, Caputo-Fabrizio-Caputo and the new fractional derivative based on the Mittag-Leffler kernel with arbitrary order . Simulation results are presented in order to show the fractional behavior of the oscillators, and the classical behavior is recovered when is equal to 1. |
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dc.language.iso |
eng |
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dc.publisher |
MDPI |
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dc.relation.isversionof |
10.3390/e19020055 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Bateman-Feshbach Tikochinsky Oscillator |
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dc.subject |
Caldirola-Kanai Oscillator |
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dc.subject |
Fractional Operators |
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dc.subject |
Mittag-Leffler Kernel |
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dc.title |
Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation |
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dc.type |
article |
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dc.relation.journal |
Entropy |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
19 |
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dc.identifier.issue |
2 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü |
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