dc.contributor.author |
Baleanu, Dumitru
|
|
dc.date.accessioned |
2018-09-27T08:06:03Z |
|
dc.date.available |
2018-09-27T08:06:03Z |
|
dc.date.issued |
2016-11-04 |
|
dc.identifier.citation |
Baleanu, D...[et.al.]. (2016). Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel. Advances In Difference Equations. http://dx.doi.org/10.1186/s13662-016-1001-5 |
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dc.identifier.issn |
1687-1847 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/1801 |
|
dc.description.abstract |
This paper presents alternative representations to traditional calculus of the Euler-Lagrangian equations, in the alternative representations these equations contain fractional operators. In this work, we consider two problems, the Lagrangian of a Pais-Uhlenbeck oscillator and the Hamiltonian of a two-electric pendulum model where the fractional operators have a regular kernel. The Euler-Lagrange formalism was used to obtain the dynamic model based on the Caputo-Fabrizio operator and the new fractional operator based on the Mittag-Leffler function. The simulations showed the effectiveness of these two representations for different values of gamma. |
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dc.language.iso |
eng |
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dc.publisher |
Springer International Publishing |
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dc.relation.isversionof |
10.1186/s13662-016-1001-5 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Pais-Uhlenbeck Oscillator |
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dc.subject |
Two-Electric Pendulum |
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dc.subject |
Caputo-Fabrizio Operator |
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dc.subject |
Atangana-Baleanu-Caputo Operator |
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dc.subject |
Crank-Nicholson Scheme |
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dc.subject |
Euler-Lagrange Formalism |
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dc.title |
Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel |
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dc.type |
article |
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dc.relation.journal |
Advances In Difference Equations |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü |
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