Fractional Derivative Models of Materials with Memory

Giovambattista Amendola, Mauro Fabrizio and John Golden
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Giovambattista Amendola: University of Pisa, Dipartimento di Matematica
Mauro Fabrizio: University of Bologna, Dipartimento di Matematica
John Golden: Technological University - Dublin, Grangegorman Campus

Chapter Chapter 23 in Thermodynamics of Materials with Memory, 2021, pp 519-556 from Springer

Abstract: Abstract Materials with constitutive equations expressed in terms of fractional derivatives Fractional derivative [47] are of increasing interest in recent years (see [214, 287]). It is well known that such materials can be considered in the class of materials with memory and may describe elastic, fluid, viscoelastic, and electromagnetic materials, but also other kinds of phenomena, such as heat flux models.

Date: 2021
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DOI: 10.1007/978-3-030-80534-0_23

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