Open AccessFractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
Author(s) -
Dušan Zorica,
M Stevan Cveticanin
Publication year - 2018
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam171211003z
Subject(s) - relativistic heat conduction , thermal conduction , laplace transform , heat equation , impulse (physics) , mathematical analysis , mathematics , bounded function , boundary value problem , domain (mathematical analysis) , heat flux , law , physics , thermodynamics , heat transfer , classical mechanics , political science
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.