RT Journal Article
T1 Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems
A1 Cabada Fernández, Alberto
A1 Dimitrov, Nikolay
K1 Discrete fractional calculus
K1 Green’s function
K1 Existence of solutions
K1 Two-point boundary value problem
AB In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its properties are obtained. Under suitable conditions on the nonlinear part of the equation, some existence and uniqueness results are deduced.
PB Springer
SN 1311-0454
YR 2020
FD 2020-09-11
LK https://hdl.handle.net/10347/37811
UL https://hdl.handle.net/10347/37811
LA eng
NO Cabada, A., Dimitrov, N. Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems. Fract Calc Appl Anal 23, 980–995 (2020). https://doi.org/10.1515/fca-2020-0051
NO This version of the article has been accepted for publication, after peer review, and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1515/fca-2020-0051
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 23 abr 2026