Application of Caputo-Fabrizio derivative in circuit realization

This work incorporates a hyperchaotic system with fractional order Caputo-Fabrizio derivative. A comprehensive proof of the existence followed by the uniqueness is detailed and the simulations are performed at distinct fractional orders. Our results are strengthened by bridging a gap between the theoretical problems and real-world applications. For this, we have implemented a 4D fractional order Caputo-Fabrizio hyperchaotic system to circuit equations. The chaotic behaviors obtained through circuit realization are compared with the phase portrait diagrams obtained by simulating the fractional order Caputo-Fabrizio hyperchaotic system. In this work, we establish a foundation for future advancements in circuit integration and the development of complex control systems. Subsequently, we can enhance our comprehension of fractional order hyperchaotic systems by incorporating with practical experiments.