The Cauchy problem for the time-fractional advection diffusion equation in a layer

• Autorzy: Povstenko Y. , Klekot J.
• Języki publikacji: EN

Abstrakty

EN

The time-fractional advection-diffusion equation with the Caputo time derivative is studied in a layer. The fundamental solution to the Cauchy problem is obtained using the integral transform technique. The logarithmicsingularity term is separated from the solution. Expressions amenable for numerical treatment are obtained. The numerical results are illustrated graphically.

Słowa kluczowe

EN

porous medium; non-Fickian diffusion; fractional calculus; Mittag-Leffler function

• Wydawca: Wydawnictwo Uniwersytetu Warmińsko-Mazurskiego w Olsztynie
• Czasopismo: Technical Sciences / University of Warmia and Mazury in Olsztyn
• Rocznik: 2016
• Tom: nr 19(3)
• Strony: 231--244
• Opis fizyczny: Bibliogr. 30 poz., wykr.

Twórcy

autor

Povstenko Y.

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

autor

Klekot J.

• Institute of Mathematics, Częstochowa University of Technology

Bibliografia

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