This study investigates a modified fractional Stretch-Twist-Fold (STF) model with a Caputo fractional-order derivative. The local stability and Hopf bifurcation of equilibrium points are analyzed by using an Adams-type predictor-corrector method implemented in MATLAB software. We study the influence of variation of parameters on the system's behavior and verify chaotic dynamics by computing maximal Lyapunov exponents. In addition to supporting analytical findings, numerical simulations are used to reveal chaotic characteristics such as bifurcations, phase portraits, limit cycles, and attractive chaotic sets, highlighting the crucial role of the fractional-order derivative in the system's dynamic behavior.
Fattah et al. (2026) studied this question.