Fractal Performance Under Magnetization Procedures of Fractional Memristive Wilson Neuron Dynamical Model

ABSTRACT The non‐integer neuron dynamical models are feasible for accurate prediction and perfect estimation of magnetization and de‐magnetization in complicated physiological environments within reliable fractal‐fractional neuronal modeling. The memristive Wilson neuron model is proposed under the comparative performance of two types of fractal‐fractional differentials with two different types of kernels based on two different memories. The non‐classical memristive Wilson neuron model with and without magnetization is simulated for numerical schemes by means of linear multi‐step integration method. The numerical simulations are traced out by discretizing continuum processes of spatial and time domains for the sake of perfect approximations under singular and non‐singular kernel versus local and non‐local kernel. By applying the powerful methodology of fractal‐fractional differential and integral operators on the memristive Wilson neuron model, the antimonotonicity phenomenon and asymmetric coexisting electrical activities have been explored intensively to widen the neuron‐based engineering applications. Remarkably, our results based on magnetization and de‐magnetization procedures of Wilson neuron model have imitated the neuron activities under electrophysiological environment.