Fractional Chaotic System Solutions and Their Impact on Chaotic Behaviour

This paper is devoted to the analysis of calculation methods for solving fractional chaotic systems and impact these different approaches on behavior system. Two widely used time domain differential equations are discussed, ABM corrector-predictor method based Caputo derivative definition, long memory approach Grunwald derivative. These numerical solutions employed depict phase portrait a class commensurate systems. The Lyapunov exponent bifurcation diagrams over various orders parameters illustrated detect dynamics system applying approaches.