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

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:
linear viscoelasticity
response functions
interconversion
power-law response
non power-law responses
prony series
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2018.00135/full
id doaj-aada0a29dbee4534b3ac95f211c56243
record_format Article
spelling doaj-aada0a29dbee4534b3ac95f211c562432020-11-24T21:13:30ZengFrontiers Media S.A.Frontiers in Physics2296-424X2018-12-01610.3389/fphy.2018.00135426527Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional OperatorJordan Yankov HristovThe 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 (single and multi-term functions) has been discussed. Special attentions have been paid on the Prony series decomposition approach, the related interconversion problems and the expression of the viscoelastic constitutive equations in terms of Caputo-Fabrizio fractional operator.https://www.frontiersin.org/article/10.3389/fphy.2018.00135/fulllinear viscoelasticityresponse functionsinterconversionpower-law responsenon power-law responsesprony series
collection DOAJ
language English
format Article
sources DOAJ
author Jordan Yankov Hristov
spellingShingle Jordan Yankov Hristov
Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator
Frontiers in Physics
linear viscoelasticity
response functions
interconversion
power-law response
non power-law responses
prony series
author_facet Jordan Yankov Hristov
author_sort Jordan Yankov Hristov
title Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator
title_short Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator
title_full Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator
title_fullStr Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator
title_full_unstemmed Linear Viscoelastic Responses: The Prony Decomposition Naturally Leads Into the Caputo-Fabrizio Fractional Operator
title_sort linear viscoelastic responses: the prony decomposition naturally leads into the caputo-fabrizio fractional operator
publisher Frontiers Media S.A.
series Frontiers in Physics
issn 2296-424X
publishDate 2018-12-01
description 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 (single and multi-term functions) has been discussed. Special attentions have been paid on the Prony series decomposition approach, the related interconversion problems and the expression of the viscoelastic constitutive equations in terms of Caputo-Fabrizio fractional operator.
topic linear viscoelasticity
response functions
interconversion
power-law response
non power-law responses
prony series
url https://www.frontiersin.org/article/10.3389/fphy.2018.00135/full
work_keys_str_mv AT jordanyankovhristov linearviscoelasticresponsesthepronydecompositionnaturallyleadsintothecaputofabriziofractionaloperator
_version_ 1716749007460499456

Similar Items