The Cattaneo type space-time fractional heat conduction equation

DOI10.1007/s00161-011-0199-4zbMath1267.80006OpenAlexW2046434087MaRDI QIDQ1939384

Sanja Konjik, Ljubica Oparnica, Dusan Zorica, Teodor M. Atanacković

Publication date: 4 March 2013

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-011-0199-4

zbMATH Keywords

generalized functionCaputo fractional derivativeCattaneo heat conduction modelLaplace and Fourier transformation

Mathematics Subject Classification ID

Related Items (14)

A One-Phase Space-Fractional Stefan Problem With No Liquid Initial Domain ⋮ Relevance of the time-quasi-polynomials in the classic linear thermodynamic theory of coupled transport processes ⋮ The Cattaneo-type time fractional heat conduction equation for laser heating ⋮ Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law ⋮ On the time-fractional Cattaneo equation of distributed order ⋮ Time-fractional Moore–Gibson–Thompson equations ⋮ Blow-up solutions for the space-time fractional evolution equation ⋮ Anomalous convection diffusion and wave coupling transport of cells on comb frame with fractional Cattaneo-Christov flux ⋮ A new time and spatial fractional heat conduction model for Maxwell nanofluid in porous medium ⋮ Numerical solution of FSPL heat conduction equation for analysis of thermal propagation ⋮ Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model ⋮ Anomalous heat diffusion from fractional Fokker-Planck equation ⋮ Nonlocal transport processes and the fractional Cattaneo-Vernotte equation ⋮ Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization

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