Three-point fractional h-sum boundary value problems for sequential caputo fractional h-sum-difference equations

Jarunee SoontharanonJiraporn ReunsumritThanin Sitthiwirattham2025-03-102025-03-102017Filomat354518010.2298/FIL1718727S2-s2.0-85039074035https://repository.dusit.ac.th//handle/123456789/4947In this article, we study an existence and uniqueness results for a sequential nonlinear Caputo fractional h-sum-difference equation with three-point fractional h-sum boundary conditions, by using the Banach contraction principle and the Schauder�s fixed point theorem. Our problem contains different orders in three fractional difference operators and three fractional sums. Finally, we provide an example to displays the importance of these results. � 2017, University of Nis. All rights reserved.Boundary value problemExistenceFractional h-sum-difference equationsUniquenessThree-point fractional h-sum boundary value problems for sequential caputo fractional h-sum-difference equationsArticleScopus