The Cattaneo type space-time fractional heat conduction equation
type: Item
instance of: scholarly article
title: The Cattaneo type space-time fractional heat conduction equation
zbMATH Open document ID: 1267.80006
author: Sanja Konjik
author: Ljubica Oparnica
author: Teodor Atanacković
author: Dusan Zorica
published in: Continuum Mechanics and Thermodynamics
publication date: 2013-03-04T00:00:00Z
review text: The classical heat conduction equation is generalized using a generalized heat conduction law. The authors use the space-time Cattaneo heat conduction law that contains the Caputo symmetrized fractional derivative instead of gradient \(\partial _x\) and fractional time derivative instead of the first-order partial time-derivative \(\partial _t\). The existence of the unique solution to the initial-boundary value problem corresponding to the generalized model is established in the space of distributions. The explicit form of the solution is obtained and numerically compared with some limiting cases.
reviewed by: Mersaid Aripov
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 35L10
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6140918
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: Cattaneo heat conduction model
zbMATH Keywords: Laplace and Fourier transformation
zbMATH Keywords: generalized function
MaRDI profile type: Publication
full work available at URL: s00161-011-0199-4
OpenAlex ID: W2046434087
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DOI: 10.1007/S00161-011-0199-4
description: scientific article; zbMATH DE number 6140918