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The purpose of this paper is twofold: from one side we provide a general survey to the viscoelastic models constructed via fractional calculus and from the other side we intend to analyze the basic fractional models as far as their creep, relaxation and viscosity properties are considered.
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R. Gorenflo, J. Loutchko, Yu. Luchko, Computation of the Mittag-Leffler function E α , β ( z ) E_{\alpha,\beta}(z) and its derivatives, Fract. Calc. Appl. Anal
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F. Mainardi, Fractional Calculus and Waves in Linear Viscoelasticity
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C.P. Li, Z.G. Zhao, Introduction to fractional integrability and differentiability, The European Physical Journal-Special Topics
2011
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