Attractive Solutions for Hilfer-Katugampola Fuzzy Fractional Neutral Differential Equations

Abstract

This study investigates the existence and local asymptotic stability of solutions for fuzzy fractional neutral differential equations involving the Hilfer-Katugampola fractional derivative. The existence of mild solutions is established by employing techniques from fractional calculus, semigroup theory, the Laplace transform, and Krasnoselskii’s fixed point theorem. Furthermore, the local asymptotic stability of the attractive solution is analyzed. An illustrative example is provided to demonstrate the applicability and effectiveness of the theoretical results.