A unique weak solution for a kind of coupled system of fractional Schrödinger equations

Abstract

In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.

Keywords

• fractional laplacian
• uniqueness
• weak solution
• nonlinear systems