In this paper we discuss some general properties of viscoelastic models defined in terms of constitutive equations involving infinitely many derivatives (of integer and fractional order). In particular, we consider as a working example the recently developed Bessel models of linear viscoelasticity that, for short times, behave like fractional Maxwell bodies of order 1/2.
On infinite order differential operators in fractional viscoelasticity / Giusti, Andrea. - In: FRACTIONAL CALCULUS & APPLIED ANALYSIS. - ISSN 1311-0454. - STAMPA. - 20:4(2017), pp. 854-867. [10.1515/fca-2017-0045]
On infinite order differential operators in fractional viscoelasticity
GIUSTI, ANDREA
2017
Abstract
In this paper we discuss some general properties of viscoelastic models defined in terms of constitutive equations involving infinitely many derivatives (of integer and fractional order). In particular, we consider as a working example the recently developed Bessel models of linear viscoelasticity that, for short times, behave like fractional Maxwell bodies of order 1/2.File in questo prodotto:
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