Document Type
Article
Publication Date
2019
Publication Source
Journal of Difference Equations and Applications
Abstract
In this paper, we obtain sign conditions and comparison theorems for Green's functions of a family of boundary value problems for a Riemann-Liouville type delta fractional difference equation. Moreover, we show that as the length of the domain diverges to infinity, each Green's function converges to a uniquely defined Green's function of a singular boundary value problem.
Inclusive pages
776-787
ISBN/ISSN
Print ISSN: 1023-6198; online ISSN: 1563-5120
Document Version
Postprint
Publisher
Taylor & Francis
Volume
25
Issue
6
Peer Reviewed
yes
Keywords
Riemann-Liouville fractional di erence equation, boundary value problems, Green's functions, comparison theorems
eCommons Citation
Eloe, Paul W.; Kublik, Catherine; and Neugebauer, Jeffrey T., "Comparison of Green's Functions for a Family of Boundary Value Problems for Fractional Difference Equations" (2019). Mathematics Faculty Publications. 213.
https://ecommons.udayton.edu/mth_fac_pub/213
Comments
The document available for download is the authors' accepted manuscript, provided in compliance with the publisher's policy on self-archiving. Permission documentation is on file. To view the version of record, use the DOI: https://doi.org/10.1080/10236198.2018.1531129
The Journal of Difference Equations and Applications is the official journal of the International Society of Difference Equations (ISDE).