Time-fractional heat conduction in a half-line domain due to boundary value of temperature varying harmonically in time
type: Item
instance of: scholarly article
title: Time-fractional heat conduction in a half-line domain due to boundary value of temperature varying harmonically in time
zbMATH Open document ID: 1400.80014
DOI: 10.1155/2016/8605056
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: The Dirichlet problem for the time-fractional heat conduction equation in a half-line domain is studied with the boundary value of temperature varying harmonically in time. The Caputo fractional derivative is employed. The Laplace transform with respect to time and the sin-Fourier transform with respect to the spatial coordinate are used. Different formulations of the considered problem for the classical heat conduction equation and for the wave equation describing ballistic heat conduction are discussed.
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6953686
Wikidata QID: Q59140959
author: Y. Z. Povstenko
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8605056
OpenAlex ID: W2550280228
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description: scientific article; zbMATH DE number 6953686