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

Abstract

In this paper, we discussed the existence of solutions for the fractional finite difference inclusion Delta(nu)x(t) is an element of F(t, x(t), Delta x(t), Delta(2)x(t)) via the boundary value conditions xi x(nu - 3) + beta Delta x(nu - 3) = 0, x(eta) = 0, and gamma x(b + nu) + delta Delta x(b + nu) = 0, where eta is an element of N-nu-2(b+nu-1), 2 < nu < 3, and F : N-nu-3(b+nu+1) x R x R x R -> 2(R) is a compact valued multifunction.