On the existence of solutions for a fractional finite difference inclusion via three points boundary conditions

In this paper, we discussed the existence of solutions for the fractional finite difference inclusion Δ ν x ( t ) ∈ F ( t , x ( t ) , Δ x ( t ) , Δ 2 x ( t ) ) via the boundary value conditions ξ x ( ν − 3 ) + β Δ x ( ν − 3 ) = 0 , x ( η ) = 0 , and γ x ( b + ν ) + δ Δ x ( b + ν ) = 0 , where η ∈ N ν − 2 b + ν − 1 , 2 < ν < 3 , and F : N ν − 3 b + ν + 1 × R × R × R → 2 R is a compact valued multifunction.