Prabhakar-like fractional viscoelasticity

Giusti, Andrea und Colombaro, Ivano (2018): Prabhakar-like fractional viscoelasticity. In: Communications in Nonlinear Science and Numerical Simulation, Bd. 56: S. 138-143

Abstract

The aim of this paper is to present a linear viscoelastic model based on Prabhakar fractional operators. In particular, we propose a modification of the classical fractional Maxwell model, in which we replace the Caputo derivative with the Prabhakar one. Furthermore, we also discuss how to recover a formal equivalence between the new model and the known classical models of linear viscoelasticity by means of a suitable choice of the parameters in the Prabhakar derivative. Moreover, we also underline an interesting connection between the theory of Prabhakar fractional integrals and the recently introduced Caputo-Fabrizio differential operator.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 1007-5704
• Sprache: Englisch