In this research paper, we have presented a novel approach to control fractional order Rössler System using Fractional Model Predictive Control (MPC), acknowledging the distinct dynamics of systems with fractional behavior. Traditional control methods designed for integer-order systems have limitations when applied to fractional systems due to their inability to handle the fractional nature of the system. We have employed the Grünwald-Letnikov (GL) characterization of the fractional-order Rössler system. Unlike previous research that has predominantly used Caputo and Riemann-Liouville definitions of fractional derivatives, we have chosen the GL characterization due to its straightforward nature and simplicity in implementation. Additionally, Fractional Model Predictive Control is implemented here by integrating fractional order system descriptions into the MPC framework. It focuses on utilizing fractional order models to represent systems displaying fractional dynamics, enhancing the control of such systems through MPC techniques. Furthermore, simulation results demonstrate the effectiveness of this approach, showcasing enhanced control performance and stability by suppressing chaos, especially when dealing with variable prediction horizons, control horizons and the presence of noise.