Cabada Fernández, AlbertoDimitrov, Nikolay D.Jonnalagadda, Jagan Mohan2021-08-042021-08-042021Symmetry 2021, 13(6), 1101; https://doi.org/10.3390/sym13061101http://hdl.handle.net/10347/26688In this article, we present a two-point boundary value problem with separated boundary conditions for a finite nabla fractional difference equation. First, we construct an associated Green’s function as a series of functions with the help of spectral theory, and obtain some of its properties. Under suitable conditions on the nonlinear part of the nabla fractional difference equation, we deduce two existence results of the considered nonlinear problem by means of two Leray–Schauder fixed point theorems. We provide a couple of examples to illustrate the applicability of the established resultseng© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/)http://creativecommons.org/licenses/by/4.0/Nabla fractional differenceBoundary value problemSeparated boundary conditionsGreen’s functionExistence of solutionsjournal article10.3390/sym130611012073-8994open access