Distributed Time Delay Models: An Alternative to Fractional Calculus-Based Models for Fractional Behavior Modeling
Language
EN
Article de revue
This item was published in
Symmetry. 2025-07-09, vol. 17, n° 7, p. 1101
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Fractional behaviors
Long memory systems
Power-laws
Distributed time delay models
Fractional calculus
