Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems
Loading...
Identifiers
ISSN: 1311-0454
E-ISSN: 1314-2224
Publication date
Advisors
Tutors
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Metrics
Export
Abstract
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.
Description
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
Bibliographic citation
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
Relation
Has part
Has version
Is based on
Is part of
Is referenced by
Is version of
Requires
Publisher version
https://doi.org/10.1515/fca-2020-0051Sponsors
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.
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International