Applications of the Fractional Sturm–Liouville Difference Problem to the Fractional Diffusion Difference Equation
, oraz | 21 wrz 2023
International Journal of Applied Mathematics and Computer Science
Mathematical Modeling in Medical Problems (Special section, pp. 349-428), Urszula Foryś, Katarzyna Rejniak, Barbara Pękala, Agnieszka Bartłomiejczyk (Eds.)
O artykule
Data publikacji: 21 wrz 2023
Zakres stron: 349 - 359
Otrzymano: 12 paź 2022
Przyjęty: 12 kwi 2023
DOI: https://doi.org/10.34768/amcs-2023-0025
Słowa kluczowe
© 2023 Agnieszka B. Malinowska et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.