Linear viscoelastic responses: The prony decomposition naturally leads into the Caputo-Fabrizio Fractional Operator

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creativework.keywordsCaputo-fabrizio operator, Interconversion, Linear viscoelasticity, Non power-law responses, Power-law response, Prony series, Response functions
creativework.publisherFrontiers Media SAen
dc.contributor.authorHristov J.Y.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:49:04Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:49:04Z
dc.date.issued2018-12-05
dc.description.abstractThe 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.
dc.identifier.doi10.3389/fphy.2018.00135
dc.identifier.issn2296-424X
dc.identifier.scopusSCOPUS_ID:85058930701en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/513
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85058930701&origin=inward
dc.titleLinear viscoelastic responses: The prony decomposition naturally leads into the Caputo-Fabrizio Fractional Operator
dc.typeArticle
oaire.citation.issueDEC
oaire.citation.volume6
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