Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator

The study addresses the physical background and modeling of linear viscoelastic response functions and their reasonable relationships to the Caputo-Fabrizio fractional operator via the Prony (Dirichlet series) series decomposition. The problem of interconversion with power-law and exponential (singl...

Full description

Bibliographic Details
Main Author: Jordan Yankov Hristov
Format: Article
Language:English
Published: Frontiers Media S.A. 2018-12-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2018.00135/full