A New Method of Finding the Fractional Euler-Lagrange and Hamilton Equations Within Caputo Fractional Derivatives
| dc.contributor.author | Trujillo, Juan I. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2016-06-07T07:17:09Z | |
| dc.date.accessioned | 2025-09-18T13:27:54Z | |
| dc.date.available | 2016-06-07T07:17:09Z | |
| dc.date.available | 2025-09-18T13:27:54Z | |
| dc.date.issued | 2010 | |
| dc.description | Trujillo, Juan J./0000-0001-8700-6410 | en_US |
| dc.description.abstract | In this paper, we have investigated the fractional Caputo derivative of a composition function. The obtained results were applied to investigate the fractional Euler-Lagrange and Hamilton equations for constrained systems. The approach was applied within an illustrative. (C) 2009 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | Scientific and Technical Research Council of Turkey | en_US |
| dc.description.sponsorship | This work is partially supported by the Scientific and Technical Research Council of Turkey. | en_US |
| dc.identifier.citation | Baleanu, D., Trujillo, J.I. (2010). A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Communications In Nonlinear Science And Numerical Simulation, 15(5), 1111-1115. http://dx.doi.org/10.1016/j.cnsns.2009.05.023 | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2009.05.023 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.issn | 1878-7274 | |
| dc.identifier.scopus | 2-s2.0-70449529531 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2009.05.023 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13077 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Lagrangians | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Fractional Caputo Derivative | en_US |
| dc.subject | Fractional Euler-Lagrange Equations | en_US |
| dc.subject | Faa Di Bruno Formula | en_US |
| dc.title | A New Method of Finding the Fractional Euler-Lagrange and Hamilton Equations Within Caputo Fractional Derivatives | en_US |
| dc.title | A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Trujillo, Juan J./0000-0001-8700-6410 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 7103051194 | |
| gdc.author.wosid | Trujillo, Juan/A-1195-2008 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.bip.impulseclass | C3 | |
| 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 | [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Trujillo, Juan I.] Univ La Laguna, Dept Anal Matemat, Tenerife 38271, Spain | en_US |
| gdc.description.endpage | 1115 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1111 | en_US |
| gdc.description.volume | 15 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W1963832640 | |
| gdc.identifier.wos | WOS:000272939800001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.downloads | 4 | |
| gdc.oaire.impulse | 35.0 | |
| gdc.oaire.influence | 7.936753E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | Integro-ordinary differential equations | |
| gdc.oaire.keywords | fractional Euler | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional Lagrangians | |
| gdc.oaire.keywords | fractional Caputo derivative | |
| gdc.oaire.keywords | Lagrange equations | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Lagrange's equations | |
| gdc.oaire.keywords | Faà di Bruno formula | |
| gdc.oaire.popularity | 1.7346224E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.views | 3 | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 7.369 | |
| gdc.openalex.normalizedpercentile | 0.98 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 83 | |
| gdc.plumx.crossrefcites | 52 | |
| gdc.plumx.mendeley | 23 | |
| gdc.plumx.scopuscites | 111 | |
| gdc.publishedmonth | 5 | |
| gdc.scopus.citedcount | 117 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 92 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |