Diffusion models with weakly singular kernels in the fading memories how the integral-balance method can be applied?

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creativework.keywordsApproximate solution, Double-integration method, Fading memory, Fractional derivative, Frozen front approach, Heat-balance integral method, Weakly singular kernel
creativework.publisherSerbian Society of Heat Transfer Engineersen
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:48:34Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:48:34Z
dc.date.issued2015-01-01
dc.description.abstractThis work presents an attempt to apply the integral-balance approach to diffusion models with fading memories expressed by weakly singular kernels. It demonstrates how three integration techniques (heat-balance integral method, double-integration method, and frozen front approach) work with a general parabolic profile with unspecified exponent and result in closed-form solutions. The main steps are exemplified by solutions where the fading memory is represented by Volterra integrals and by a time-fractional Riemann-Liouville derivative.
dc.identifier.doi10.2298/TSCI130803151H
dc.identifier.issn0354-9836
dc.identifier.scopusSCOPUS_ID:84979917090en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/398
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84979917090&origin=inward
dc.titleDiffusion models with weakly singular kernels in the fading memories how the integral-balance method can be applied?
dc.typeArticle
oaire.citation.issue3
oaire.citation.volume19
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