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

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creativework.keywordsCaputo-fabrizio derivative, Integral balance approach, Jeffrey kernel, Non-linear diffusion, Non-singular fading memory
creativework.publisherSerbian Society of Heat Transfer Engineersen
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:04Z
dc.date.accessioned2024-07-10T14:48:38Z
dc.date.available2024-07-10T14:27:04Z
dc.date.available2024-07-10T14:48:38Z
dc.date.issued2017-01-01
dc.description.abstractStarting 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 background of the newly defined Caputo-Fabrizio time fractional derivative and demonstrates how other constitutive equations could be modified with non-singular fading memories.
dc.identifier.doi10.2298/TSCI160229115H
dc.identifier.issn0354-9836
dc.identifier.scopusSCOPUS_ID:85019751305en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/431
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85019751305&origin=inward
dc.titleSteady-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
dc.typeArticle
oaire.citation.issue2
oaire.citation.volume21
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