This study presents the simulation of a circuit designed to generate a chaotic system. Nonlinear dynamical equations with fractional order, an advanced concept in applied mathematics, are used to understand how this system works. The fractional order of these equations is generated by an electrical circuit, highlighting the importance of electronic components in mathematical modeling. The study involves approximation in the frequency domain and the application of circuit theory in the Laplace domain. These methods allow precise analysis of electronic circuits used to study nonlinear dynamic systems. In simple terms, the frequency domain approach helps to study how circuits respond to different input signals, while Laplace theory provides a robust mathematical tool for analyzing complex systems. In addition, the article discusses practical experiments with electronic circuits that are performed to validate the proposed mathematical theories. These experiments demonstrate how advanced mathematics can be used to create and understand chaotic behavior in real physical systems. Overall, the study combines theoretical and practical concepts to explore the dynamics of nonlinear systems, providing a comprehensive and detailed view of the generation and analysis of chaotic systems using electrical and mathematical circuits. The research contributes to the understanding of how fractional equations and electronic circuits can be used together to model complex and chaotic behavior in dynamical systems. In summary, the article exemplifies the integration of advanced mathematical concepts with practical circuit experiments, providing an in-depth and innovative analysis of chaotic systems generated by electrical circuits and fractional-order nonlinear dynamical equations.