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Fractional radial transport in cylindrical geometry

Abstract: A transport equation is derived from microscopic considerations, aimed at modeling fractional radial transport in cylindrical-like geometries. The procedure generalizes existing work on one-dimensional Cartesian systems. The transport equation emerges as the fluid limit of an underlying continuous-time random walk (CTRW) that preserves the required symmetries and conservation laws. In the process, appropriate radial fractional operators are identified and defined through their Hankel transforms, providing a smooth interpolation between standard radial differential operators. Finally, propagators for the radial fractional transport equation are obtained in terms of Fox H functions.

 Fuente: Physical Review E, 2025, 112(5), 055205

 Editorial: American Physical Society

 Fecha de publicación: 01/11/2025

 Nº de páginas: 10

 Tipo de publicación: Artículo de Revista

 DOI: 10.1103/w2pz-z9kq

 ISSN: 1539-3755,1550-2376,2470-0045,2470-0053

 Proyecto español: PID2022-137869OB-I00

 Url de la publicación: https://doi.org/10.1103/w2pz-z9kq

Autoría

SÁNCHEZ, RAÚL

NEWMAN, DAVID E.