On a system of fuzzy fractional differential inclusions with projection operators

The aim of this paper is to introduce and study a class of fuzzy fractional differential inclusions with projection operators, which captures the desired features of both fuzzy differential inclusions and fractional-order projective dynamical systems within the same framework. The existence of solutions for the open situation is proved by using continuous selection theorem. Moreover, the existence of solutions for the closed situation is showed by employing Lipschitzean selection theorem and fixed point theorem, respectively. Furthermore, an application and a numerical example are also given.