Applications of the fractional Sturm-Liouville difference problem to the fractional diffusion difference equation

• Autorzy: Malinowska Agnieszka B. , Odzijewicz Tatiana , Poskrobko Anna

Identyfikatory

DOI

10.34768/amcs-2023-0025

• Języki publikacji: EN

Abstrakty

EN

This paper deals with homogeneous and non-homogeneous fractional diffusion difference equations. The fractional operators in space and time are defined in the sense of Grünwald and Letnikov. Applying results on the existence of eigenvalues and corresponding eigenfunctions of the Sturm-Liouville problem, we show that solutions of fractional diffusion difference equations exist and are given by a finite series.

Słowa kluczowe

EN

anomalous diffusion; fractional diffusion equation; fractional calculus; difference equation

PL

dyfuzja anomalna; równanie dyfuzji ułamkowe; rachunek ułamkowy; równanie różnicowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2023
• Tom: Vol. 33, no. 3
• Strony: 349--359
• Opis fizyczny: Bibliogr. 31 poz., wykr.

Twórcy

autor

Malinowska Agnieszka B.

• Faculty of Computer Science, Bialystok University of Technology, ul. Wiejska 45A, 15-351 Białystok, Poland

autor

Odzijewicz Tatiana

• Institute of Mathematical Economics, SGH Warsaw School of Economics, Al. Niepodległości 162, 02-554 Warsaw, Poland

autor

Poskrobko Anna

• Faculty of Computer Science, Bialystok University of Technology, ul. Wiejska 45A, 15-351 Białystok, Poland

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