RT Journal Article
T1 Non-Trivial Solutions of Non-Autonomous Nabla Fractional Difference Boundary Value Problems
A1 Cabada Fernández, Alberto
A1 Dimitrov, Nikolay D.
A1 Jonnalagadda, Jagan Mohan
K1 Nabla fractional difference
K1 Boundary value problem
K1 Separated boundary conditions
K1 Green’s function
K1 Existence of solutions
AB 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
PB MDPI
YR 2021
FD 2021
LK http://hdl.handle.net/10347/26688
UL http://hdl.handle.net/10347/26688
LA eng
NO Symmetry 2021, 13(6), 1101; https://doi.org/10.3390/sym13061101
NO The first author is partially supported by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER. The second author is supported by the Bulgarian National Science Fund under Project DN 12/4 “Advanced analytical and numerical methods for nonlinear differential equations with applications in finance and environmental pollution”, 2017
DS Minerva
RD 29 abr 2026