@article{10902/38353,
year = {2025},
month = {11},
url = {https://hdl.handle.net/10902/38353},
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.},
organization = {This work has been partially funded by the Agencia Española Estatal de Investigación (AEI) under Grant No. PID2022-137869OB-I00.Wealsoacknowledgepartial support for the research from the DOE office of Fusion Energy under U.S. Department of Energy Contracts No. DE-SC0018076 and No. DE-FG02-89ER53291.},
publisher = {American Physical Society},
publisher = {Physical Review E, 2025, 112(5), 055205},
title = {Fractional radial transport in cylindrical geometry},
author = {Sánchez, Raúl and Newman, David E. and Mier Maza, José Ángel},
}