# Generalized diffusion equation with nonlocality of space-time: Analytical and numerical analysis

@article{Kostrobij2021GeneralizedDE,
title={Generalized diffusion equation with nonlocality of space-time: Analytical and numerical analysis},
author={Petro Kostrobij and Mykhailo Tokarchuk and Bogdan Markovych and Iryna Ryzha},
journal={Journal of Mathematical Physics},
year={2021}
}
• Published 24 August 2020
• Mathematics
• Journal of Mathematical Physics
Based on the non-Markov diffusion equation taking into account the spatial fractality and modeling for the generalized coefficient of particle diffusion $D^{\alpha\alpha'}(\mathbf{r},\mathbf{r}';t,t')=W(t,t')\bar{D}^{\alpha\alpha'}(\mathbf{r},\mathbf{r}')$ using fractional calculus the generalized Cattaneo--Maxwell--type diffusion equation in fractional time and space derivatives has been obtained. In the case of a constant diffusion coefficient, analytical and numerical studies of the…

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