Solutions to discrete fractional Schödinger equations

Lidan Wang

In this paper, we study the discrete fractional Schrödinger equation $$(-\Delta {)}^{\alpha }u+h(x)u=f(x,u),x\in {\mathbb{Z}}^d,$$ where $d\in {\mathbb{N}}^{\ast },\alpha \in (0,1)$ and the nonlocal oper…