Solvability of Nonlocal Fractional Boundary Value Problems

الملخص EN

This paper is devoted to introduce a new approach to investigate the existence of solutions for a three-point boundary value problem of fractional difference equations as fllows: Δνy(t)=f(t+ν-1,y(t+ν-1),Δy(t+ν-2)), y(ν-2)=0, and [Δαy(t)]t=ν+b-α+1 = γ[Δαy(t)]t=ν+ξ-α.

We present an existence result at resonance case.

The proof relies on coincidence degree theory.