Periodic problems of first order uncertain dynamical systems

It is well known that there are no periodic solutions to fuzzy differential equations in the sense of Hukuhara derivatives, i.e. H-derivatives, so fuzzy differential equations in the sense of H-derivatives cannot be used to describe periodic phenomena in the real world. To overcome this disadvantage, this paper studies periodic problems of first order fuzzy differential equations in the sense of differential inclusions, i.e., periodic problems of first order uncertain dynamical systems, and obtains the existence of periodic solutions for first order uncertain dynamical systems.