Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions |
| |
| Authors: | Jaume Masoliver |
| |
| Affiliation: | Department of Condensed Matter Physics and Complex Systems Institute (UBICS), University of Barcelona, 08007 Barcelona, Catalonia, Spain; |
| |
| Abstract: | We address the problem of telegraphic transport in several dimensions. We review the derivation of two and three dimensional telegrapher’s equations—as well as their fractional generalizations—from microscopic random walk models for transport (normal and anomalous). We also present new results on solutions of the higher dimensional fractional equations. |
| |
| Keywords: | telegrapher’ s equations, fractional telegrapher’ s equation, continuous time random walk, transport problems |
|
|
