Solutions to fractional diffusion-wave equation in a circular sector

• Autorzy: Povstenko Y.
• Języki publikacji: EN

Abstrakty

EN

The time-fractional diffusion-wave equation with the Caputo derivative of the order 0 < α ≤ 2 is considered in a domain 0 ≤ r < R, 0 < ϕ < ϕ0 under different boundary conditions. The Laplace integral transform with respect to time, the finite Fourier transforms with respect to the angular coordinate, and the finite Hankel transforms with respect to the radial coordinate are used. The fundamental solutions are expressed in terms of the Mittag-Leffler function. The particular cases of the obtained solutions corresponding to the diffusion equation (α = 1) and the wave equation (α = 2) coincide with those known in the literature.

Słowa kluczowe

EN

Mittag-Leffler function; Caputo derivative

PL

funkcja Mittag-Lefflera; pochodna Caputo

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2013
• Tom: Vol. 18
• Strony: 41--54
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Povstenko Y.

• Jan Długosz University in Częstochowa, Institute of Mathematics and Computer Science, 42-200 Częstochowa, Al. Armii Krajowej 13/15, Poland
• European University of Informatics and Economics (EWSIE) Institute of Computer Science ul. Białostocka 22, 03-741 Warszawa, Poland

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