Existence and uniqueness for fractional differential equations with uncertainty

We discuss existence, and uniqueness of solutions of nonlinear differential equations of actional order. The differential operators are taken in the Caputo sense and the initial condition is a fuzzy number. To this aim, contraction mapping principle and the fixed point theorem are used and finally an example is given to more illustration of obtained results

Generalized Hukuhara differentiability, Generalized fuzzy Caputo differentiability, Fuzzy fractional differential equations