Three-Point Fractional h-sum Boundary Value Problems for Sequential Caputo Fractional h-sum-difference Equations

Abstract

In 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 two fractional sums. Finally, we provide an example to displays the importance of these results.