An application of fractional calculus to the theory of viscoelasticity (Q5960262)

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scientific article; zbMATH DE number 1727665
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An application of fractional calculus to the theory of viscoelasticity
scientific article; zbMATH DE number 1727665

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    An application of fractional calculus to the theory of viscoelasticity (English)
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    14 April 2002
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    In [\textit{K. S. Miller} and \textit{B. Ross}, Indian J. Pure Appl. Math. 22, 763-767 (1991; Zbl 0745.34020)] the fractional Green's function was considered. In this paper the author applies this fractional Green's function to obtain direct and inverse viscoelasticity relations. In the discussion of the results obtained the comparison with the results of [\textit{R. C. Koeller}, J. Appl. Mech. 51, 299-307 (1984; Zbl 0544.73052)] is made.
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    fractional Green's function
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    ordinary differential operators
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    Kelvin-Voigt body
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