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Hamilton-Jacobi Formulation for Systems in Terms of Riesz's Fractional Derivatives

dc.contributor.author Rawashdeh, Ibrahim M.
dc.contributor.author Muslih, Sami
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Rabei, Eqab M.
dc.date.accessioned 2016-06-24T08:03:04Z
dc.date.accessioned 2025-09-18T12:05:10Z
dc.date.available 2016-06-24T08:03:04Z
dc.date.available 2025-09-18T12:05:10Z
dc.date.issued 2011
dc.description.abstract The paper presents fractional Hamilton-Jacobi formulations for systems containing Riesz fractional derivatives (RFD's). The Hamilton-Jacobi equations of motion are obtained. An illustrative example for simple harmonic oscillator (SHO) has been discussed. It was observed that the classical results are recovered for integer order derivatives. en_US
dc.identifier.citation Rabei, E.M...et al. (2011). Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives. International Journal of Theoretical Physics, 50(5), 1569-1576. http://dx.doi.org/10.1007/s10773-011-0668-3 en_US
dc.identifier.doi 10.1007/s10773-011-0668-3
dc.identifier.issn 0020-7748
dc.identifier.issn 1572-9575
dc.identifier.scopus 2-s2.0-79953081892
dc.identifier.uri https://doi.org/10.1007/s10773-011-0668-3
dc.identifier.uri https://hdl.handle.net/20.500.12416/10544
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 Fractional Calculus Of Variation en_US
dc.subject Lagrangian Formulation en_US
dc.subject Hamiltonian Formulation en_US
dc.subject Hamilton-Jacobi Formulation And Riesz Fractional Derivatives en_US
dc.title Hamilton-Jacobi Formulation for Systems in Terms of Riesz's Fractional Derivatives en_US
dc.title Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives tr_TR
dc.type Article en_US
dspace.entity.type Publication
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gdc.author.scopusid 57498025700
gdc.author.scopusid 7003657106
gdc.author.scopusid 7005872966
gdc.author.wosid Muslih, Sami/Aaf-4974-2020
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.bip.impulseclass C5
gdc.bip.influenceclass C4
gdc.bip.popularityclass C4
gdc.coar.access metadata only access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Rabei, Eqab M.; Rawashdeh, Ibrahim M.] Al al Bayt Univ, Dept Phys, Mafraq, Jordan; [Muslih, Sami] So Illinois Univ, Dept Mech Engn, Carbondale, IL 62901 USA; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 76900, Romania en_US
gdc.description.endpage 1576 en_US
gdc.description.issue 5 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 1569 en_US
gdc.description.volume 50 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q3
gdc.identifier.openalex W1980410947
gdc.identifier.wos WOS:000288804600024
gdc.index.type WoS
gdc.index.type Scopus
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gdc.oaire.impulse 3.0
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gdc.oaire.keywords Hamilton-Jacobi formulation
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords Lagrangian formulation
gdc.oaire.keywords Hamiltonian formulation
gdc.oaire.keywords Fractional partial differential equations
gdc.oaire.keywords fractional calculus of variation
gdc.oaire.keywords Riesz fractional derivatives
gdc.oaire.popularity 4.838439E-9
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 0103 physical sciences
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
gdc.openalex.collaboration International
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gdc.opencitations.count 13
gdc.plumx.crossrefcites 7
gdc.plumx.mendeley 6
gdc.plumx.scopuscites 19
gdc.publishedmonth 5
gdc.scopus.citedcount 19
gdc.virtual.author Baleanu, Dumitru
gdc.wos.citedcount 13
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