Random uniform attractors for fractional stochastic FitzHugh-Nagumo lattice systems

Abstract

The present study focuses on the asymptotic behavior of fractional stochastic FitzHugh-Nagumo lattice systems with multiplicative noise. First, we investigate the well-posedness of solutions for these stochastic systems and subsequently establish the existence and uniqueness of tempered random uniform attractors.

Keywords

• fractional stochastic fitzhugh-nagumo lattice systems
• multiplicative noise
• random uniform attractor
• almost periodic symbol