Axisymmetric solutions to the Cauchy problem for time-fractional diffusion equation in a circle

• Autorzy: Povstenko Y.
• Języki publikacji: EN

Abstrakty

EN

The Cauchy problems for time-fractional diffusion equation with delta pulse initial value of a sought-for function is studied in a circle domain in the axisymmetric case under zero Dirichlet and Neumann boundary conditions, respectively. The Caputo fractional derivative is used. The Laplace and finite Hankel integral transforms are employed. The results are illustrated graphically.

Słowa kluczowe

EN

Cauchy problem; circle; Caputo fractional derivative

PL

problem Cauchy'ego; koło

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2010
• Tom: Vol. 15
• Strony: 109--117
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Povstenko Y.

• Institute of Mathematics and Computer Science Jan Długosz University in Częstochowa al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland
• European University of Informatics and Economics in Warsaw (EWSIE) ul. Białostocka 22/11, 03-741 Warsaw, Poland

Bibliografia

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