### ON NONLOCAL BVPs FOR DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER

*Phan Dinh Phung*

#### Tóm tắt

In this paper, we consider a class of boundary value problems (BVPs) in a separable Banach space *E*, which is a fractional differential inclusion associated with multipoint bounday conditions, of the form

where is the Riemann-Liouville fractional derivative operator of order *F* is a closed valued multifuction. With some certain suitable conditions we prove that the set of the solutions to the problem is nonempty and is a retract in space

*Key**w**ords**: *fractional differential inclusion, boundary value problem, Green’s function, contractive set valued-map, retract.

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