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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Fractional telegrapher's equation as a consequence of Cattaneo's heat conduction law generalization
Dušan Zoricaab, Stevan M. Cvetićaninb a Serbian Academy of Arts and Sciences, Beograd, Serbia
b University of Novi Sad, Novi Sad, Serbia
Аннотация:
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.
Ключевые слова:
fractional telegrapher's equation, Cattaneo heat conduction law, initial-boundary value problem, Laplace transform.
Поступила в редакцию: 11.12.2017
Образец цитирования:
Dušan Zorica, Stevan M. Cvetićanin, “Fractional telegrapher's equation as a consequence of Cattaneo's heat conduction law generalization”, Theor. Appl. Mech., 45:1 (2018), 35–51
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tam37 https://www.mathnet.ru/rus/tam/v45/i1/p35
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