Fractional Hamilton Formalism Within Caputo's Derivative
| dc.contributor.author | Agrawal, Om. P. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2016-03-30T13:08:49Z | |
| dc.date.accessioned | 2025-09-18T14:10:44Z | |
| dc.date.available | 2016-03-30T13:08:49Z | |
| dc.date.available | 2025-09-18T14:10:44Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are given, and a set of fractional Hamiltonian equations are obtained. Using an example, it is shown that the canonical fractional Hamiltonian and the fractional Euler-Lagrange formulations lead to the same set of equations. | en_US |
| dc.description.sponsorship | The first author would like to thank the organizers of this colloquium for giving him the opportunity to attend this meeting. The research reported in this paper was partially supported by the Scientific and Technical Research Council of Turkey. | |
| dc.description.sponsorship | Türkiye Bilimsel ve Teknolojik Araştirma Kurumu, TÜBITAK | |
| dc.identifier.citation | Baleanu, D., Agrawal, O.P. (2006). Fractional Hamilton formalism within Caputo's derivative. Czechoslovak Journal of Physics, 56(10-11), 1087-1092. http://dx.doi.org/10.1007/s10582-006-0406-x | en_US |
| dc.identifier.doi | 10.1007/s10582-006-0406-x | |
| dc.identifier.issn | 0011-4626 | |
| dc.identifier.issn | 1572-9486 | |
| dc.identifier.scopus | 2-s2.0-33845669957 | |
| dc.identifier.uri | https://doi.org/10.1007/s10582-006-0406-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13762 | |
| dc.language.iso | en | en_US |
| dc.publisher | inst Physics Acad Sci Czech Republic | en_US |
| dc.relation.ispartof | 15th International Colloquium on Quantum Groups -- JUN 15-17, 2006 -- Prague, CZECH REPUBLIC | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Euler-Lagrange Equations | en_US |
| dc.subject | Fractional Hamiltonian Formulation | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.title | Fractional Hamilton Formalism Within Caputo's Derivative | en_US |
| dc.title | Fractional Hamilton formalism within Caputo's derivative | tr_TR |
| dc.type | Conference Object | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06530 Ankara, Turkey; Inst Space Sci, R-76900 Bucharest, Romania; So Illinois Univ, Carbondale, IL 62901 USA | en_US |
| gdc.description.endpage | 1092 | en_US |
| gdc.description.issue | 10-11 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1087 | en_US |
| gdc.description.volume | 56 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded - Conference Proceedings Citation Index - Science | |
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| gdc.oaire.keywords | Mathematical Physics (math-ph) | |
| gdc.oaire.keywords | Mathematical Physics | |
| gdc.oaire.keywords | Hamilton's equations | |
| gdc.oaire.keywords | fractional variational calculus | |
| gdc.oaire.keywords | Existence theories for free problems in one independent variable | |
| gdc.oaire.keywords | Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods | |
| gdc.oaire.keywords | Caputo derivative | |
| gdc.oaire.keywords | fractional Euler-Lagrange equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional Hamiltonian formulation | |
| gdc.oaire.keywords | Lagrange's equations | |
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