Cabada Fernández, AlbertoDimitrov, Nikolay D.Jonnalagadda, Jagan Mohan2025-02-212025-02-212021-12-010960-0779https://hdl.handle.net/10347/39829This article is devoted to deduce the expression and the main properties of the Green’s function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In particular, it is proved that such function has constant sign on their set of definition and, moreover, it satisfies some additional strong sign conditions that are fundamental to define suitable cones, where to ensure the existence of solutions of nonlinear problems.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Fractional differenceDirichlet conditionsGreen’s functionExistence of solutions120215 Ecuaciones integralesjournal article10.1016/j.chaos.2021.1114551873-2887open access