TY - JOUR
TI - Analysis of a Lorenz model using adomian decomposition and fractal-fractional operators
AU - Yan Tao
AU - Alhazmi Muflih
AU - Youssif Mukhtar Y
AU - Elhag Amna E
AU - Aljohani Abdulrahman F
AU - Saber Sayed
JN - Thermal Science
PY - 2024
VL - 28
IS - 6
SP - 5001
EP - 5009
PT - Article
AB - This paper extends the classical Lorenz system to incorporate  fractal-fractional dynamics, providing a detailed numerical analysis of its  chaotic behavior. By applying Caputo's fractal-fractional operators to the  Lorenz system, the study explores the fractal and fractional nature of  non-linear systems. Numerical methods are employed to solve the extended  system, with suitable fractal and fractional orders chosen to demonstrate  chaos and hyper-chaos. The results are presented graphically, highlighting  the complex dynamic behavior of the system under different parameter  conditions. This research advances the understanding of fractional calculus  in modelling and controlling chaotic systems in various scientific fields.