Transient Heat Conduction in a Semi-Infinite Domain with a Memory Effect: Analytical Solutions with a Robin Boundary Condition

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creativework.keywordsanalytical solution, Caputo derivative, Robin boundary condition, transient heat conduction
creativework.publisherMultidisciplinary Digital Publishing Institute (MDPI)en
dc.contributor.authorBeybalaev V.D.
dc.contributor.authorAliverdiev A.A.
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:06Z
dc.date.accessioned2024-07-10T14:51:04Z
dc.date.available2024-07-10T14:27:06Z
dc.date.available2024-07-10T14:51:04Z
dc.date.issued2023-10-01
dc.description.abstractThe Robin boundary condition initial value problem for transient heat conduction with the time-fractional Caputo derivative in a semi-infinite domain with a convective heat transfer (Newton’s law) at the boundary has been solved and analyzed by two analytical approaches. The uniqueness and the stability of the solution on the half-axis have been analyzed. The problem solutions by application of the operational method (Laplace transform in the time domain) and the integral-balance method (double integration technique) have been developed analytically.
dc.identifier.doi10.3390/fractalfract7100770
dc.identifier.issn2504-3110
dc.identifier.scopusSCOPUS_ID:85175199898en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/873
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85175199898&origin=inward
dc.titleTransient Heat Conduction in a Semi-Infinite Domain with a Memory Effect: Analytical Solutions with a Robin Boundary Condition
dc.typeArticle
oaire.citation.issue10
oaire.citation.volume7
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