Jiraporn ReunsumritThanin Sitthiwirattham2025-03-102025-03-102020Advances in Difference Equations1687183910.1186/s13662-020-02835-22-s2.0-85088159568https://repository.dusit.ac.th//handle/123456789/4782In this article, we purpose existence results for a fractional deltaÐnabla difference equations with mixed boundary conditions by using Banach contraction principle and SchauderÕs fixed point theorem. Our problem contains a nonlinear function involving fractional delta and nabla differences. Moreover, our problem contains different orders in four fractional delta differences, four fractional nabla differences, one fractional delta sum, and one fractional nabla sum. Finally, we present some illustrative examples. © 2020, The Author(s).All Open Access; Gold Open AccessExistenceFractional deltaÐnabla difference equationMixed boundary value problemUniquenessArticleScopus