Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line
| dc.contributor.author | Golmankhaneh, Ali Khalili | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Golmankhaneh, Alireza Khalili | |
| dc.date.accessioned | 2020-05-20T13:07:51Z | |
| dc.date.accessioned | 2025-09-18T16:07:54Z | |
| dc.date.available | 2020-05-20T13:07:51Z | |
| dc.date.available | 2025-09-18T16:07:54Z | |
| dc.date.issued | 2013 | |
| dc.description | Khalili Golmankhaneh, Alireza/0000-0003-1529-7807; Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; , Alireza/0000-0002-3490-7976 | en_US |
| dc.description.abstract | A discontinuous media can be described by fractal dimensions. Fractal objects has special geometric properties, which are discrete and discontinuous structure. A fractal-time diffusion equation is a model for subdiffusive. In this work, we have generalized the Hamiltonian and Lagrangian dynamics on fractal using the fractional local derivative, so one can use as a new mathematical model for the motion in the fractal media. More, Poisson bracket on fractal subset of real line is suggested. | en_US |
| dc.identifier.citation | Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line By:Golmankhaneh, AK (Golmankhaneh, Alireza Khalili)[ 1 ] ; Golmankhaneh, AK (Golmankhaneh, Ali Khalili)[ 1 ] ; Baleanu, D (Baleanu, Dumitru)[ 4,2,3 ] | en_US |
| dc.identifier.doi | 10.1007/s10773-013-1733-x | |
| dc.identifier.issn | 0020-7748 | |
| dc.identifier.issn | 1572-9575 | |
| dc.identifier.scopus | 2-s2.0-84884851076 | |
| dc.identifier.uri | https://doi.org/10.1007/s10773-013-1733-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14894 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer/plenum Publishers | en_US |
| dc.relation.ispartof | International Journal of Theoretical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractal Calculus | en_US |
| dc.subject | Lagrangian Mechanics | en_US |
| dc.subject | Hamiltonian Mechanics | en_US |
| dc.subject | Poisson Bracket | en_US |
| dc.subject | Variational Calculus | en_US |
| dc.title | Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line | en_US |
| dc.title | Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Khalili Golmankhaneh, Alireza/0000-0003-1529-7807 | |
| gdc.author.id | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
| gdc.author.id | , Alireza/0000-0002-3490-7976 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1534-2013 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Golmankhaneh, Alireza Khalili; Golmankhaneh, Ali Khalili] Islamic Azad Univ, Urmia Branch, Dept Phys, Orumiyeh, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21589, Saudi Arabia | en_US |
| gdc.description.endpage | 4217 | en_US |
| gdc.description.issue | 11 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 4210 | en_US |
| gdc.description.volume | 52 | en_US |
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| gdc.oaire.keywords | Hamilton's equations | |
| gdc.oaire.keywords | Poisson bracket | |
| gdc.oaire.keywords | Fractals | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Hamiltonian mechanics | |
| gdc.oaire.keywords | fractal calculus | |
| gdc.oaire.keywords | Lagrangian mechanics | |
| gdc.oaire.keywords | Lagrange's equations | |
| gdc.oaire.keywords | variational calculus | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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