A note on a modified fractional Maxwell model
arXiv:2204.02783 · doi:10.1016/j.chaos.2022.112544
Abstract
In this paper we consider a modified fractional Maxwell model based on the application of Hadamard-type fractional derivatives. The model is physically motivated by the fact that we can take into account at the same time memory effects and the time-dependence of the viscosity coefficient. We obtain an ultra-slow relaxation response whose explicit analytic form is given by the Mittag-Leffler function with a logarithmic argument. We show graphically the main properties of this relaxation response, also with the asymptotic behaviour.
arXiv comment10 pages, 3 figures
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