Creator:

Malinowska, Agnieszka B. ; Odzijewicz, Tatiana ; Poskrobko, Anna

Contributor:

Foryś, Urszula - ed. ; Rejniak, Katarzyna - ed. ; Pękala, Barbara - ed. ; Bartłomiejczyk, Agnieszka - ed.

Title:

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

Subtitle:

.

Group publication title:

AMCS, volume 33 (2023)

Subject and Keywords:

anomalous diffusion ; fractional diffusion equations ; fractional calculus ; difference equations

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2023

Resource Type:

artykuł

DOI:

10.34768/amcs-2023-0025

Pages:

349-359

Source:

AMCS, volume 33, number 3 (2023) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego