Numerical analysis of dissipative system with noise model with the Atangana-Baleanu fractional derivative

The model of dissipative system with noise has not been so far a center of interest of many researchers, while this model is very interesting physical problem that deserves to capture attentions. Not to mention that no study has been done for this model using the newly established concept of fractional differential operators based on non-singular kernels. In this paper, we aimed to provide an analysis mainly numerical analysis of the model with the non-local non-singular kernel differential operators. We made use of a recent powerful numerical scheme and provided some numerical simulations for different values of fractional order.