Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization

Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization

Fractional telegrapher’s equation is reinterpreted in the setting of heat conduction phenomena and reobtained by considering the energy balance equation and fractional Cattaneo heat conduction law, generalized by taking into account the history of temperature gradient as well. Using the Laplace tran...

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Main Authors: Zorica Dušan, Cvetićanin Stevan M.
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2018-01-01
Series:Theoretical and Applied Mechanics
Subjects:
fractional telegrapher’s equation
Cattaneo heat conduction law
initial-boundary value problem
Laplace transform
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2018/1450-55841800003Z.pdf
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spelling doaj-33a9ba98a9f54637a32ae0a8fbe931b92020-11-24T22:36:44ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252018-01-01451355110.2298/TAM171211003Z1450-55841800003ZFractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalizationZorica Dušan0Cvetićanin Stevan M.1Serbian Academy of Arts and Sciences, Mathematical Institute, Beograd + Faculty of Sciences, Department of Physics, Novi SadFaculty of Technical Sciences, Department of Power, Electronic and Telecommunication Engineering, Novi SadFractional telegrapher’s equation is reinterpreted in the setting of heat conduction phenomena and reobtained by considering the energy balance equation and fractional Cattaneo heat conduction law, generalized by taking into account the history of temperature gradient as well. Using the Laplace transform method, fractional telegrapher’s equation is solved on semi-bounded domain for the zero initial condition and solution is obtained as a convolution of forcing temperature on the boundary and impulse response. Some features of such obtained solution are examined. [Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. III42004 and Grant no. 174005]http://www.doiserbia.nb.rs/img/doi/1450-5584/2018/1450-55841800003Z.pdffractional telegrapher’s equationCattaneo heat conduction lawinitial-boundary value problemLaplace transform
collection DOAJ
language English
format Article
sources DOAJ
author Zorica Dušan
Cvetićanin Stevan M.
spellingShingle Zorica Dušan
Cvetićanin Stevan M.
Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
Theoretical and Applied Mechanics
fractional telegrapher’s equation
Cattaneo heat conduction law
initial-boundary value problem
Laplace transform
author_facet Zorica Dušan
Cvetićanin Stevan M.
author_sort Zorica Dušan
title Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
title_short Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
title_full Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
title_fullStr Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
title_full_unstemmed Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
title_sort fractional telegrapher’s equation as a consequence of cattaneo’s heat conduction law generalization
publisher Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
series Theoretical and Applied Mechanics
issn 1450-5584
2406-0925
publishDate 2018-01-01
description Fractional telegrapher’s equation is reinterpreted in the setting of heat conduction phenomena and reobtained by considering the energy balance equation and fractional Cattaneo heat conduction law, generalized by taking into account the history of temperature gradient as well. Using the Laplace transform method, fractional telegrapher’s equation is solved on semi-bounded domain for the zero initial condition and solution is obtained as a convolution of forcing temperature on the boundary and impulse response. Some features of such obtained solution are examined. [Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. III42004 and Grant no. 174005]
topic fractional telegrapher’s equation
Cattaneo heat conduction law
initial-boundary value problem
Laplace transform
url http://www.doiserbia.nb.rs/img/doi/1450-5584/2018/1450-55841800003Z.pdf
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