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Distributed Time Delay Models: An Alternative to Fractional Calculus-Based Models for Fractional Behavior Modeling
| 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 | |
| dc.date.accessioned | 2025-09-22T09:37:15Z | |
| dc.date.available | 2025-09-22T09:37:15Z | |
| dc.date.issued | 2025-07-09 | |
| dc.identifier.issn | 2073-8994 | en_US |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/207651 | |
| dc.description.abstractEn | This paper illustrates that distributed time delay models can exhibit fractional behaviors, addressing the limitations of fractional calculus-based models outlined in the introduction. Given the extensive results generated by these models, they present a compelling alternative to fractional models. The demonstration is done both in discrete time and in continuous time. The two cases yield fractional behavior within a defined time/frequency range. To conclude and using two examples, the article highlights that modeling fractional behaviors using distributed delay systems allows for coherent physical interpretations, which a fractional model representation struggles to achieve. | |
| dc.language.iso | EN | en_US |
| dc.rights | Attribution 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/us/ | * |
| dc.subject.en | Fractional behaviors | |
| dc.subject.en | Long memory systems | |
| dc.subject.en | Power-laws | |
| dc.subject.en | Distributed time delay models | |
| dc.subject.en | Fractional calculus | |
| dc.title.en | Distributed Time Delay Models: An Alternative to Fractional Calculus-Based Models for Fractional Behavior Modeling | |
| dc.type | Article de revue | en_US |
| dc.identifier.doi | 10.3390/sym17071101 | en_US |
| dc.subject.hal | Sciences de l'ingénieur [physics] | en_US |
| bordeaux.journal | Symmetry | en_US |
| bordeaux.page | 1101 | en_US |
| bordeaux.volume | 17 | en_US |
| bordeaux.hal.laboratories | IMS : Laboratoire de l'Intégration du Matériau au Système - UMR 5218 | en_US |
| bordeaux.issue | 7 | en_US |
| bordeaux.institution | Université de Bordeaux | en_US |
| bordeaux.institution | Bordeaux INP | en_US |
| bordeaux.institution | CNRS | en_US |
| bordeaux.peerReviewed | oui | en_US |
| bordeaux.inpress | non | en_US |
| bordeaux.import.source | crossref | |
| hal.identifier | hal-05272224 | |
| hal.version | 1 | |
| hal.date.transferred | 2025-09-22T09:37:17Z | |
| hal.popular | non | en_US |
| hal.audience | Internationale | en_US |
| hal.export | true | |
| workflow.import.source | crossref | |
| dc.rights.cc | CC BY | en_US |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Symmetry&rft.date=2025-07-09&rft.volume=17&rft.issue=7&rft.spage=1101&rft.epage=1101&rft.eissn=2073-8994&rft.issn=2073-8994&rft.au=SABATIER,%20Jocelyn&rft.genre=article |