On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative

In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard's iteration method, and Banach contraction principle. As application, we conclude this paper by giving an illustrative example to demonstrate the applicability of the obtained results.

Automated summary

In this manuscript, new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative are established. The theorems are proved using fuzzy fractional calculus, Picard's iteration method, and Banach contraction principle. An illustrative example is provided to demonstrate the applicability of the obtained results.