Positive solutions to boundary value problems of fractional difference equation with nonlocal conditions

In this paper, we will use the Krasnosel’skii fixed point theorem to investigate a discrete fractional boundary value problem of the form −Δνy(t)=λh(t+ν−1)f(y(t+ν−1)), y(ν−2)=Ψ(y), y(ν+b)=Φ(y), where 1<ν⩽2, t∈[0,b]N0, f:[0,∞)→[0,∞) is a continuous function, h:[ν−1,ν+b−1]Nν−1→[0,∞), Ψ,Φ:Rb+3→R are given functionals, where Ψ, Φ are linear functionals, and λ is a positive parameter.