Cabada Fernández, AlbertoDimitrov, Nikolay2024-11-252024-11-252020-09-11Cabada, 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-2020-00511311-0454https://hdl.handle.net/10347/37811This 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-2020-0051In 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.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Discrete fractional calculusGreen’s functionExistence of solutionsTwo-point boundary value problem1202 Análisis y análisis funcionaljournal article10.1515/fca-2020-00511314-2224open access