Some results on fractional Hahn difference boundary value problems

Abstract Fractional Hahn boundary value problems are significant tools to describe mathematical and physical phenomena depending on non-differentiable functions. In this work, we develop certain aspects of the theory fractional involving derivatives Caputo type. First, construct Green function for an α th \alpha {\rm{th}} -order problem, with 1 < 2 1\lt \lt 2 , discuss some important properties function. The solutions proposed obtained in terms uniqueness is proved by various fixed point theorems. Banach’s contraction mapping theorem, Schauder’s Browder’s theorem used.