Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative

Abstract

Abstract In this paper, we are concerned with the fractional Schrödinger equation with time fraction order, fractional Laplacian, and derivative terms. The existence of weak solution is established, as well as the existence of global attractor is obtained under some conditions for this equations.

Keywords

• Coupled nonlinear Schrödinger equations
• Ginzburg–Landau equations
• Global attractor
• Fractional differential equation