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- Title
Non-Trivial Solutions of Non-Autonomous Nabla Fractional Difference Boundary Value Problems.
- Authors
Cabada, Alberto; Dimitrov, Nikolay D.; Jonnalagadda, Jagan Mohan
- Abstract
In 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 results.
- Subjects
BOUNDARY value problems; NONLINEAR equations; DIFFERENCE equations; SPECTRAL theory
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 6, p1101
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13061101