Abstract
In this paper, we consider the stochastic fractional-space Kuramoto-Sivashinsky equation forced by multiplicative noise. To obtain the exact solutions of the stochastic fractional-space Kuramoto-Sivashinsky equation, we apply the G'/G-expansion method. Furthermore, we generalize some previous results that did not use this equation with multiplicative noise and fractional space. Additionally, we show the influence of the stochastic term on the exact solutions of the stochastic fractional-space Kuramoto-Sivashinsky equation.