On Existence and Uniqueness Results for Generalized Katugampola Differential Problem

We investigates fractional differential equations that involve the Hilfer-Katugampola fractionalderivative, establishing a connection between these equations and Volterra-type integral equations.By employing Schauder’s fixed point theorem, the study demonstrates the existence and uniquenessof solutions under specific conditions. Additionally, the continuous dependence of solutions on thedifferentiation order is analyzed using Grnwall’s inequality. To validate the theoretical findings andshowcase the precision of the proposed approach, numerical examples are provided, highlighting itspractical applicability