KRASNOSELSKII-ZABREIKO FIXED POINT THEOREM FOR IMPLICIT Ψ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS UNDER MIXED CONDITIONS

Abstract

This paper delves into the exploration of the existence, uniqueness, and stability of solutions for Ψ-Caputo fractional dierential equations subjected to mixed boundary conditions. By utilizing the Krasnoselskii-Zabreiko fixed point theorem and the Banach contraction principle, we establish the uniqueness of solutions. Furthermore, we derive the conditions for generalized Ulam-Hyers stability. Additionally, an example is included to illustrate the practical application of our findings.