Comparison of Green's functions for a family of boundary value problems for fractional difference equations
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Mathematics and Statistics
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.
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.
Journal of Difference Equations and Applications