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The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators.
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Gorenflo R, Kilbas AA, Mainardi F, Rogosin SV. Mittag-Leffler functions, related topics and applications. Berlin: Springer; 2014
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Mainardi F, Garrappa R. On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics, J Comput Phys 2015;293:70–80. DOI
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Caputo M, Fabrizio M. A new definition of fractional derivative without singular kernel. Progr Fract Differ Appl 2015;1(2):73–85. DOI
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Gao F, Yang X. Fractional Maxwell fluid with fractional derivative without singular kernel. Therm Sci 2016;20:871–877
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Colombaro I, Giusti A, Mainardi F. On transient waves in linear viscoelasticity. To appear in
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Colombaro I, Giusti A, Mainardi, F. On the propagation of transient waves in a viscoelastic Bessel medium. Z Angew Math Phys 2017;68:62–74. DOI
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Colombaro I, Giusti A, Mainardi F. A class of linear viscoelastic models based on Bessel functions. Meccanica 2017;52:825–832. DOI
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Giusti A. On infinite order differential operators in fractional viscoelasticity. Fract Calc Appl Anal 2017;20(4):854–867. DOI
2017
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