ABSTRACT
This chapter introduces a novel four-dimensional chaotic system that consists primarily of four simple terms and four multiplier terms. Rossler continued his study on the dissipative dynamical system after that, and in 1976, he suggested a new chaotic system. Fractal-fractional operators were considered in the sense of power law, exponential law, and the Mittag-Leffler law. Non-linear chaotic systems have complex dynamic behaviour and are sensitive to the beginning conditions. A chaotic attractor is further described as a chaotic set that a dynamic system likes to grow towards. Numerous engineering and non-engineering domains, including intelligent controls, power systems, secure communication, biology, and mathematics, use chaotic systems in a variety of ways. The numerical analysis of a chaotic model under various fractal-fractional operators. Fractal-fractional operators were considered in the sense of power law, exponential law, and the Mittag-Leffler law.
