Existence of mild solution for fuzzy fractional differential equation utilizing the Hilfer-Katugampola fractional derivative
This paper explores the existence of mild solutions for fuzzy fractional differential equations involving the Hilfer-Katugampola fractional derivative. This derivative generalizes classical fractional derivatives, such as the Riemann- Liouville and Hadamard derivatives, offering a broader framework for fractional calculus. The existence conditions for mild solutions are established using fractional calculus, semigroup theory, and Schauder’s fixed point theorem. An example is provided to demonstrate the theoretical applications of the main results.
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