The study explores controllability results for fuzzy fractional differential equations involving the Hilfer–Katugampola fractional derivative, a generalization of the Riemann–Liouville and Hadamard fractional derivatives. It establishes existence conditions for mild solutions by applying fractional calculus, semigroup theory, the Laplace transform, and Sadovskii’s fixed point theorem. Additionally, an example is included to illustrate the practical applications of the key findings.

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.