Fundamental solution to the Cauchy problem for the time-fractional advection-diffusion equation

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

Abstrakty

EN

The one-dimensional time-fractional advection-diffusion equation with the Caputo time derivative is considered. The fundamental solution to the Cauchy problem is obtained using the integral transform technique. The numerical results are illustrated graphically.

Słowa kluczowe

EN

Cauchy problem; Mittag-Leffler function; time-fractional diffusion-wave equation

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 1
• Strony: 95--102
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Povstenko Y.

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

autor

Klekot J.

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

Bibliografia

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