7 - Applications of fractional-order viscoelastic models

Abstract

Linear viscoelasticity is a subject which stretches in its influence and importance from the early days of rheology to the present day. We now investigate and research the Hookean spring element, Newtonian dashpot element, Maxwell model, Kelvin–Voigt model, Jeffreys model, Burgers model, Zener model, Newtonian-like dashpot element, Maxwell-like model, Kelvin–Voigt-like model, Burgers-like model, Zener-like model, anomalous Maxwell-like model, anomalous Kelvin–Voigt-like model, anomalous Burgers-like model, and anomalous Zener-like model within the different differential operators.