Study of three-point impulsive boundary value problems governed by \(\Psi \)-Caputo fractional derivative

In this study, we investigate the existence and uniqueness of solutions for specific type of three-point boundary value problems. These problems focus on nonlinear impulsive fractional differential equations, which pose a challenge in finding their solutions. To address this, we employ fixed point theorems of Banach and Schauder as mathematical tools to establish the existence, and uniqueness of solutions. The comparison between analytical outcomes and illustrative examples provides valuable insights into the accuracy and reliability of the derived solutions, enhancing their applicability in various fields.