The Dirichlet problem for the time-fractional advection-diffusion equation in a half-space

• Autorzy: Povstenko Y. , Klekot J.

Identyfikatory

DOI

10.17512/jamcm.2015.2.08

• Języki publikacji: EN

Abstrakty

EN

The one-dimensional time-fractional advection-diffusion equation with the Caputo time derivative is considered in a half-space. The fundamental solution to the Dirichlet problem and the solution of the problem with constant boundary condition are obtained using the integral transform technique. The numerical results are illustrated graphically.

Słowa kluczowe

EN

Caputo fractional derivative; advection-diffusion equation; Laplace integral transform; Fourier sine transform; Mittag-Leffler function

PL

pochodna rzędu ułamkowego Caputo; funkcja Mittag-Lefflera

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 2
• Strony: 73--83
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Povstenko Y.

• Institute of Mathematics and Computer Science, Jan Długosz University in Czestochowa Częstochowa, Poland

autor

Klekot J.

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

Bibliografia

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