Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo-Katugampola Fractional Derivative

The paper investigates the existence of a mild solution for a fuzzy fractional differential equation involving the Caputo–Katugampola fractional derivative. The main results are established using Mönch's fixed point theorem, along with essential tools like semigroup theory, fractional calculus, and the measure of noncompactness. Finally, our theoretical results are applied by providing an interesting example.