Saowaluck ChasreechaiThanin Sitthiwirattham2025-03-102025-03-102019Mathematics2227739010.3390/math70504712-s2.0-85073742079https://repository.dusit.ac.th//handle/123456789/4840In this article, we study the existence and uniqueness results for a separate nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and the Schauder's fixed point theorem. Our problem contains two nonlinear functions involving fractional difference and fractional sum. Moreover, our problem contains different orders in n + 1 fractional differences and m + 1 fractional sums. Finally, we present an illustrative example. � 2019 by the authors.All Open Access; Gold Open AccessBoundary value problemExistenceFractional sum-difference equationsUniquenessArticleScopus