Initial Value Problem Should Not Be Associated to a Fractional Model Description Whatever the Derivative Definition Used
| dc.rights.license | open | en_US |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| dc.contributor.author | SABATIER, Jocelyn
IDREF: 05934976X | |
| hal.structure.identifier | Laboratoire de l'intégration, du matériau au système [IMS] | |
| dc.contributor.author | FARGES, Christophe
IDREF: 115018204 | |
| dc.date.accessioned | 2022-07-08T08:08:43Z | |
| dc.date.available | 2022-07-08T08:08:43Z | |
| dc.date.issued | 2022-01 | |
| dc.identifier.isbn | 978-3-031-04383-3 | en_US |
| dc.identifier.uri | oai:crossref.org:10.1007/978-3-031-04383-3_2 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/140400 | |
| dc.description.abstractEn | The 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.iso | EN | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.source | crossref | |
| dc.source.title | Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21) | en_US |
| dc.subject.en | Fractional derivative | |
| dc.subject.en | Caputo definition | |
| dc.subject.en | Riemann-Liouville definition | |
| dc.subject.en | Grünwald-Letnikov definition | |
| dc.subject.en | Initial conditions | |
| dc.subject.en | Memory | |
| dc.title.en | Initial Value Problem Should Not Be Associated to a Fractional Model Description Whatever the Derivative Definition Used | |
| dc.type | Chapitre d'ouvrage | en_US |
| dc.identifier.doi | 10.1007/978-3-031-04383-3_2 | en_US |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Automatique / Robotique | en_US |
| bordeaux.page | 26-37 | en_US |
| bordeaux.hal.laboratories | Laboratoire d’Intégration du Matériau au Système (IMS) - UMR 5218 | en_US |
| bordeaux.institution | Université de Bordeaux | en_US |
| bordeaux.institution | Bordeaux INP | en_US |
| bordeaux.institution | CNRS | en_US |
| bordeaux.inpress | non | en_US |
| bordeaux.import.source | dissemin | |
| hal.identifier | hal-03717234 | |
| hal.version | 1 | |
| hal.date.transferred | 2022-07-08T08:08:45Z | |
| hal.export | true | |
| workflow.import.source | dissemin | |
| dc.rights.cc | Pas de Licence CC | en_US |
| bordeaux.COinS | ctx_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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