Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions

Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions

Starting from the Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio time fractional derivative has been developed. This approach allows seeing the physical back ground of the ne...

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Bibliographic Details
Main Author: Hristov Jordan
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2017-01-01
Series:Thermal Science
Subjects:
non-linear diffusion
non-singular fading memory
Jeffrey kernel
Caputo-Fabrizio derivative
integral balance approach
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600115H.pdf
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spelling doaj-d8b2681fca7b406da93deaae61b2b24d2021-01-02T00:26:54ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632017-01-0121282783910.2298/TSCI160229115H0354-98361600115HSteady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutionsHristov Jordan0University of Chemical Technology and Metallurgy, Department of Chemical Engineering, Sofia, BulgariaStarting from the Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio time fractional derivative has been developed. This approach allows seeing the physical back ground of the newly defined Caputo-Fabrizio time fractional derivative and demonstrates how other constitutive equations could be modified with non-singular fading memories.http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600115H.pdfnon-linear diffusionnon-singular fading memoryJeffrey kernelCaputo-Fabrizio derivativeintegral balance approach
collection DOAJ
language English
format Article
sources DOAJ
author Hristov Jordan
spellingShingle Hristov Jordan
Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions
Thermal Science
non-linear diffusion
non-singular fading memory
Jeffrey kernel
Caputo-Fabrizio derivative
integral balance approach
author_facet Hristov Jordan
author_sort Hristov Jordan
title Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions
title_short Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions
title_full Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions
title_fullStr Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions
title_full_unstemmed Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions
title_sort steady-state heat conduction in a medium with spatial non-singular fading memory: derivation of caputo-fabrizio space-fractional derivative from cattaneo concept with jeffrey`s kernel and analytical solutions
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2017-01-01
description Starting from the Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio time fractional derivative has been developed. This approach allows seeing the physical back ground of the newly defined Caputo-Fabrizio time fractional derivative and demonstrates how other constitutive equations could be modified with non-singular fading memories.
topic non-linear diffusion
non-singular fading memory
Jeffrey kernel
Caputo-Fabrizio derivative
integral balance approach
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-98361600115H.pdf
work_keys_str_mv AT hristovjordan steadystateheatconductioninamediumwithspatialnonsingularfadingmemoryderivationofcaputofabriziospacefractionalderivativefromcattaneoconceptwithjeffreyskernelandanalyticalsolutions
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