The fundamental solutions to the central symmetric time-fractional heat conduction equation with heat absorption

• Autorzy: Povstenko Y. , Klekot J.

Identyfikatory

DOI

10.17512/jamcm.2017.2.08

• Języki publikacji: EN

Abstrakty

EN

The time-fractional heat conduction equation with heat absorption proportional to temperature is considered in the case of central symmetry. The fundamental solutions to the Cauchy problem and to the source problem are obtained using the integral transform technique. The numerical results are presented graphically.

Słowa kluczowe

EN

non-Fourier heat conduction; Caputo fractional derivative; heat absorption; Laplace integral transform; Fourier transform; Mittag-Leffler function

PL

przewodzenie ciepła; pochodna ułamkowa Caputo; absorpcja ciepła; transformata Laplace'a; transformata Fouriera; funkcja Mittag-Lefflera

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 2
• Strony: 101--112
• Opis fizyczny: Bibliogr. 32 poz., rys.

Twórcy

autor

Povstenko Y.

• Institute of Mathematics and Computer Science, Faculty of Mathematical and Natural Sciences, Jan Długosz University in Częstochowa Częstochowa, Poland

autor

Klekot J.

• Institute of Mathematics, Częstochowa University of Technology Częstochowa, Poland

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).