Harmonic impact on the surface of a half-plane in the framework of Time-Fractional Heat Conduction

• Autorzy: Povstenko Y.

Identyfikatory

DOI

10.16926/m.2016.21.07

• Języki publikacji: EN

Abstrakty

EN

The time-fractional heat conduction equation with the Caputo derivative is considered in a half-plane. The boundary value of temperature varies harmonically in time. The integral transform technique is used; the solution is obtained in terms of integral with integrand being the Mittag-Leffler functions. The particular case of solution corresponding to the classical heat conduction equation is discussed in details.

Słowa kluczowe

EN

heat conduction equation; total transformation technique; derivative Caputo

PL

równanie przewodzenia ciepła; technika transformacji całkowitej; pochodna Caputo

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2016
• Tom: Vol. 21
• Strony: 85--92
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Povstenko Y.

• Jan Długosz University in Częstochowa, Faculty of Mathematics and Natural Sciences, Institute of Mathematics and Computer Science, al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

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