Abstract: In this note, we present a fractional stochastic model for the diffusion of the brain tumor cancer. The considered model is an extension of the deterministic glioma growth model. The stochastic process, which represents the solution of the considered model, is obtained in terms of the probability stable distribution function and in exact form. In the frame of such fractional stochastic models, we are able to study the growth models for tumor cells under the influence of random perturbations.
Keywords: Fractional stochastic diffusion model, Stable probability distribution function, Brain tumor cancer.