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...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2018-12-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2018.00135/full |
| _version_ | 1828172801613234176 |
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| author | Jordan Yankov Hristov |
| author_facet | Jordan Yankov Hristov |
| author_sort | Jordan Yankov Hristov |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-12T03:46:45Z |
| format | Article |
| id | doaj.art-aada0a29dbee4534b3ac95f211c56243 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-12T03:46:45Z |
| publishDate | 2018-12-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-aada0a29dbee4534b3ac95f211c562432022-12-22T03:49:07ZengFrontiers 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 |
| 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 |
| title | 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_short | 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 |
| 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 |