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dc.contributor.authorAtanacković, Teodoren
dc.contributor.authorKonjik, Sanjaen
dc.contributor.authorOparnica, Ljubicaen
dc.contributor.authorZorica, Dušanen
dc.date.accessioned2020-05-01T20:14:05Z-
dc.date.available2020-05-01T20:14:05Z-
dc.date.issued2012-11-01en
dc.identifier.issn0935-1175en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/1891-
dc.description.abstractThe classical heat conduction equation is generalized using a generalized heat conduction law. In particular,we use the space-time Cattaneo heat conduction lawthat contains the Caputo symmetrized fractional derivative instead of gradient λ x and fractional time derivative instead of the first order partial time derivative λ t . The existence of the unique solution to the initial-boundary value problem corresponding to the generalized model is established in the space of distributions. We also obtain explicit form of the solution and compare it numerically with some limiting cases.en
dc.publisherSpringer Link-
dc.relation.ispartofContinuum Mechanics and Thermodynamicsen
dc.subjectCaputo fractional derivative | Cattaneo heat conduction (diffusion) model | Generalized functions | Laplace and Fourier transformen
dc.titleThe Cattaneo type space-time fractional heat conduction equationen
dc.typeArticleen
dc.identifier.doi10.1007/s00161-011-0199-4en
dc.identifier.scopus2-s2.0-84868574230en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage293en
dc.relation.lastpage311en
dc.relation.issue4-6en
dc.relation.volume24en
dc.description.rankM22-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-9117-8589-
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