Geodesic
Fractional telegrapher's equation as a consequence of Cattaneo's heat conduction law generalization
Theoretical and applied mechanics, Tome 45 (2018) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Keywords: fractional telegrapher's equation, Cattaneo heat conduction law, initial-boundary value problem, Laplace transform 
@article{TAM_2018_45_1_a3,
     author = {Du\v{s}an Zorica and Stevan M. Cveti\'canin},
     title = {Fractional telegrapher's equation as a consequence of {Cattaneo's} heat conduction law generalization},
     journal = {Theoretical and applied mechanics},
     pages = {35 - 51},
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/TAM_2018_45_1_a3/}
}
TY  - JOUR
AU  - Dušan Zorica
AU  - Stevan M. Cvetićanin
TI  - Fractional telegrapher's equation as a consequence of Cattaneo's heat conduction law generalization
JO  - Theoretical and applied mechanics
PY  - 2018
SP  - 35 
EP  -  51
VL  - 45
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAM_2018_45_1_a3/
ID  - TAM_2018_45_1_a3
ER  - 
%0 Journal Article
%A Dušan Zorica
%A Stevan M. Cvetićanin
%T Fractional telegrapher's equation as a consequence of Cattaneo's heat conduction law generalization
%J Theoretical and applied mechanics
%D 2018
%P 35 - 51
%V 45
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAM_2018_45_1_a3/
%F TAM_2018_45_1_a3
Dušan Zorica; Stevan M. Cvetićanin. Fractional telegrapher's equation as a consequence of Cattaneo's heat conduction law generalization. Theoretical and applied mechanics, Tome 45 (2018) no. 1. http://geodesic.mathdoc.fr/item/TAM_2018_45_1_a3/