Averaging Principle for a Class of Time-Fractal-Fractional Stochastic Differential Equations

In this paper, we study a class of time-fractal-fractional stochastic differential equations with the fractal–fractional operator Atangana under meaning Caputo and kernel power law type. We first establish Hölder continuity solution equation. Then, certain averaging conditions, show that solutions original can be approximated by associated averaged in sense mean square convergence. As an application, provide example numerical simulations to explore established principle.