Pimchana SiricharuanunSaowaluck ChasreechaiThanin Sitthiwirattham2025-03-102025-03-102020Advances in Difference Equations1687183910.1186/s13662-020-02826-32-s2.0-85087934641https://repository.dusit.ac.th//handle/123456789/4786In this paper, we propose a nonlocal fractional sum-difference boundary value problem for a coupled system of fractional sum-difference equations with p-Laplacian operator. The problem contains both RiemannÐLiouville and Caputo fractional difference with five fractional differences and four fractional sums. The existence and uniqueness result of the problem is studied by using the Banach fixed point theorem. © 2020, The Author(s).All Open Access; Gold Open AccessBoundary value problemCoupled system of fractional difference equationsExistence and uniquenessp-Laplacian operatorOn a coupled system of fractional sum-difference equations with p-Laplacian operatorArticleScopus