Discrete Fractional Difference Problems

Abstract

This study investigated the existence, uniqueness, stability, and positivity of solutions for certain fractional-order differential equations, both hybrid and non-hybrid, with boundary conditions in Banach space. The subsequent steps involved transforming the problem into an integral equation, applying the fixed-point theorems of Banach, Brouwer, and Dag to identify a fixed point, and analyzing stability using the Hirs-Ulem-Rasias theorem.