On a system of fuzzy fractional differential inclusions with projection operators. (English) Zbl 1397.34014
Summary: 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 shown by employing the Lipschitzean selection theorem and fixed point theorem, respectively. Furthermore, an application and a numerical example are also given.
MSC:
| 34A07 | Fuzzy ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
| 34A60 | Ordinary differential inclusions |
Keywords:
fuzzy fractional differential inclusions; projection operator; selection theorem; fixed point theoremReferences:
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