Subdiffusion of variable order: interpretation in terms of the multiple trapping model

Title	Subdiffusion of variable order: interpretation in terms of the multiple trapping model
Authors	R. T. Sibatov^{1, 2} ¹Scientific Manufacturing Complex «Technological Centre» ²Ulyanovsk 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: 13.12.2024.