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arXiv · 1705.09246

Prabhakar-like fractional viscoelasticity

Andrea Giusti·Ivano Colombaro
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Abstract

The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one. Furthermore, we also discuss how to recover a formal equivalence between the new model and the known classical models of linear viscoelasticity by means of a suitable choice of the parameters in the Prabhakar derivative. Moreover, we also underline an interesting connection between the theory of Prabhakar fractional integrals and the recently introduced Caputo-Fabrizio differential operator.

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BibTeXRIS

Andrea Giusti, Ivano Colombaro. 2017-05-25. Prabhakar-like fractional viscoelasticity. https://doi.org/10.1016/j.cnsns.2017.08.002

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