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Electro-mechanical analogy for Prabhakar-like fractional viscoelasticity
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Electro-mechanical analogy for Prabhakar-like fractional viscoelasticity

Ivano Colombaro and G Arnone
Journal of Physics: Conference Series, Volume 2701, Issue 1, Article number 012068 , Vol.2701(1), pp.1-6
2701
12th International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE 2023) (Belgrade, 28/08/2023–31/08/2023)
2024
Handle:
https://hdl.handle.net/10863/41691

Abstract

The aim of this paper is to set up a formal equivalence between a mechanical system and an electrical one. Specifically, we consider the Maxwell-Prabhakar linear viscoelastic model, based on Prabhakar fractional operators. Therefore, we find the analogous expression for the electric current due to a step potential. The expression for the resulting electric current depends on the variable characterizing the viscoelastic model and its behaviour is then discussed with the support of some interesting plots.
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url
https://iopscience.iop.org/article/10.1088/1742-6596/2701/1/012068/metaView

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