On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory

<abstract><p>We prove existence and uniqueness of solutions to discrete fractional equations that involve Riemann-Liouville Caputo derivatives with three-point boundary conditions. The results are obtained by conducting an analysis via the Banach principle Brouwer fixed point criterion. Moreover, we stability, including Hyers-Ulam Hyers-Ulam-Rassias type results. Finally, some numerical models provided illustrate validate theoretical results.</p></abstract>