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The purpose of this paper is twofold: from one side we provide a generalsurvey to the viscoelastic models constructed via fractional calculus and fromthe other side we intend to analyze the basic fractional models as far as theircreep, relaxation and viscosity properties are considered. The basic models arethose that generalize via derivatives of fractional order the classicalmechanical models characterized by two, three and four parameters, that werefer to as Kelvin-Voigt, Maxwell, Zener, anti-Zener and Burgers. For eachfractional model we provide plots of the creep compliance, relaxation modulusand effective viscosity in non dimensional form in terms of a suitable timescale for different values of the order of fractional derivative. We alsodiscuss the role of the order of fractional derivative in modifying theproperties of the classical models.

Creep, Relaxation and Viscosity Properties for Basic Fractional Models in Rheology