Existence uniqueness and stability of solutions for ψ-Caputo fractional differential iterative equation with boundary value conditions

The subject of this paper revolves around fractional differential equations incorporating a ?-Caputo fractional derivative, focusing on the Ulam-Hyers stability, the existence and uniqueness of solutions for nonlinear fractional quadratic iterative differential equation by utilizing Schauder?s fixed point theorem, reinforced by the Ascoli-Arzel? theorem. Additionally, we present two illustrative examples to buttress our analytical findings.