Comparison of Green's functions for a family of boundary value problems for fractional difference equations

Authors

Paul W. Eloe
Catherine M. Kublik
Jeffrey T. Neugebauer, Eastern Kentucky UniversityFollow

Author ORCID Identifier

Jeffrey Neugebauerhttps://orcid.org/0000-0003-2450-4169

Department

Mathematics and Statistics

Document Type

Article

Publication Date

7-9-2018

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.

Recommended Citation

Eloe, Paul W.; Kublik, Catherine M.; and Neugebauer, Jeffrey T., "Comparison of Green's functions for a family of boundary value problems for fractional difference equations" (2018). EKU Faculty and Staff Scholarship. 625.
https://encompass.eku.edu/fs_research/625

Journal Title

Journal of Difference Equations and Applications