Title | Subdiffusion of variable order: interpretation in terms of the multiple trapping model |
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Authors | R. T. Sibatov^{1, 2}^{1}Scientific Manufacturing Complex «Technological Centre» ^{2}Ulyanovsk State University |

Annotation | In the framework of dispersive transport model with multiple trapping, an equation of anomalous diffusion with a variable-order fractional derivative has been substantiated. The relationship between the derived equation and the specific physical model indicates a Monte Carlo numerical algorithm for its solution. A significant feature of the model is the change in the density of energy of localized states under the condition of detailed balance between the trapped and delocalized particles. |

Keywords | anomalous diffusion, fractional derivative, multiple trapping, Monte Carlo method. |

Citation | Sibatov R. T. ''Subdiffusion of variable order: interpretation in terms of the multiple trapping model'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 182-187. Available at: https://conf.svmo.ru/files/2024/papers/paper34.pdf. - Date of access: 12.11.2024. |

**© SVMO, National Research Mordovia State University, 2024**

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