Chanisara MetpattarahiranThitiporn LinitdaThanin Sitthiwirattham2025-03-102025-03-102022AIMS Mathematics2473698810.3934/math.20228292-s2.0-85131901523https://repository.dusit.ac.th//handle/123456789/4652In this article, we study the existence and uniqueness results for a sequential nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and SchaeferÕs fixed point theorem. Furthermore, we also show the existence of a positive solution. Our problem contains different orders and four fractional difference operators. Finally, we present an example to display the importance of these results. © 2022 the Author(s), licensee AIMS Press.All Open Access; Gold Open Accessboundary value problemexistencefractional sum-difference equationsuniquenessArticleScopus