On the initial value problem for fuzzy differential equations of non-integer order α∈(1,2)

The purpose of this paper is to present some basic theories of an initial value problem of fuzzy fractional differential equations involving the Caputo-fuzzy-type concept of fractional derivative in the case of the order α∈(1,2). The existence and uniqueness results of the solution for the given problem are presented. Finally, some examples are given to illustrate our main results.