SABATIER, Jocelyn

doi:10.3390/sym17071101

Laboratoire de l'intégration, du matériau au système [IMS]

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Symmetry. 2025-07-09, vol. 17, n° 7, p. 1101

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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.< Leer menos

Palabras clave en inglés

Fractional behaviors

Long memory systems

Power-laws

Distributed time delay models

Fractional calculus

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https://oskar-bordeaux.fr/handle/20.500.12278/207651

DOI

http://dx.doi.org/10.3390/sym17071101

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IMS : Laboratoire de l'Intégration du Matériau au Système - UMR 5218

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Distributed Time Delay Models: An Alternative to Fractional Calculus-Based Models for Fractional Behavior Modeling

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Resumen en inglés

Palabras clave en inglés

URI

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Centros de investigación