ON NONLOCAL BVPs FOR DIFFERENTIAL INCLUSIONS OF FRACTIONAL ORDER
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
Keywords: fractional differential inclusion, boundary value problem, Green’s function, contractive set valued-map, retract.