Dynamics of chaotic system based on image encryption through fractal-fractional operator of non-local kernel

In this paper, the newly developed fractal-fractional differential and integral operators are used to analyze dynamics of chaotic system based on image encryption. The problem is modeled in terms classical order nonlinear, coupled ordinary equations that then generalized through operator Mittag-Leffler kernel. addition that, some theoretical analyses, such as model equilibria, existence, uniqueness solutions, have been proved. Furthermore, highly non-linear solved by adopting a numerical scheme MATLAB software. graphical solution portrayed 2D 3D portraits. Some interesting results concluded considering variation fractional-order parameter fractal dimension parameter.