Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions

Chanon PromsakonSaowaluck ChasreechaiThanin Sitthiwirattham2025-03-102025-03-102019Advances in Difference Equations1687183910.1186/s13662-019-2069-52-s2.0-85063689167https://repository.dusit.ac.th//handle/123456789/4881In this article, we study a coupled system of singular fractional difference equations with fractional sum boundary conditions. A sufficient condition of the existence of positive solutions is established by employing the upper and lower solutions of the system and using Schauder�s fixed point theorem. Finally, we provide an example to illustrate our results. � 2019, The Author(s).All Open Access; Gold Open AccessBoundary value problemFractional difference equationsPositive solutionSingularityExistence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditionsArticleScopus