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dc.rights.licenseopenen_US
hal.structure.identifierLaboratoire de l'intégration, du matériau au système [IMS]
dc.contributor.authorSABATIER, Jocelyn
IDREF: 05934976X
hal.structure.identifierLaboratoire de l'intégration, du matériau au système [IMS]
dc.contributor.authorFARGES, Christophe
IDREF: 115018204
dc.date.accessioned2022-07-08T08:08:43Z
dc.date.available2022-07-08T08:08:43Z
dc.date.issued2022-01
dc.identifier.isbn978-3-031-04383-3en_US
dc.identifier.urioai:crossref.org:10.1007/978-3-031-04383-3_2
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/140400
dc.description.abstractEnThe paper shows that the Caputo definition of fractional differentiation is problematic if it is used in the definition of a fractional model and if initial conditions are taken into account. The demonstration is done using simple examples (or counterexamples). The analysis is extended to the Riemann-Liouville and Grünwald-Letnikov definitions. These results thus question the validity of results produced in the field of fractional model analysis in which initial conditions are involved.
dc.language.isoENen_US
dc.publisherSpringer International Publishingen_US
dc.sourcecrossref
dc.source.titleProceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21)en_US
dc.subject.enFractional derivative
dc.subject.enCaputo definition
dc.subject.enRiemann-Liouville definition
dc.subject.enGrünwald-Letnikov definition
dc.subject.enInitial conditions
dc.subject.enMemory
dc.title.enInitial Value Problem Should Not Be Associated to a Fractional Model Description Whatever the Derivative Definition Used
dc.typeChapitre d'ouvrageen_US
dc.identifier.doi10.1007/978-3-031-04383-3_2en_US
dc.subject.halSciences de l'ingénieur [physics]/Automatique / Robotiqueen_US
bordeaux.page26-37en_US
bordeaux.hal.laboratoriesLaboratoire d’Intégration du Matériau au Système (IMS) - UMR 5218en_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.institutionBordeaux INPen_US
bordeaux.institutionCNRSen_US
bordeaux.inpressnonen_US
bordeaux.import.sourcedissemin
hal.identifierhal-03717234
hal.version1
hal.date.transferred2022-07-08T08:08:45Z
hal.exporttrue
workflow.import.sourcedissemin
dc.rights.ccPas de Licence CCen_US
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Proceedings%20of%20the%20International%20Conference%20on%20Fractional%20Differentiation%20and%20its%20Applications%20(ICFDA%E2%80%9921)&rft.date=2022-01&rft.spage=26-37&rft.epage=26-37&rft.au=SABATIER,%20Jocelyn&FARGES,%20Christophe&rft.isbn=978-3-031-04383-3&rft.genre=unknown


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