Fractal–fractional order stochastic chaotic model: A synchronization study

Abstract

This manuscript provides the existence and uniqueness of solution and synchronization of fractal dimensional fractional order stochastic chaotic systems in Rn space. Based on fractal–fractional analysis, Rn stochastic settings, fixed point rout, stability theory and suitable feedback controller, a valuable adequate useful sufficient conditions are determined for existence and uniqueness of solution and synchronization study of proposed model. We have addressed the nonlinear terms of the systems under consideration in this study by using local assumptions. The theory’s findings are then validated by a numerical simulation.

Keywords

• Fractal–Fractional Derivatives (FFD)
• Stochastic chaotic systems
• Fixed point analysis
• Synchronization