Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions

Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions

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 so...

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Bibliographic Details
Main Author: Jaume Masoliver
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Entropy
Subjects:
telegrapher’s equations
fractional telegrapher’s equation
continuous time random walk
transport problems
Online Access:https://www.mdpi.com/1099-4300/23/3/364
Description
Summary: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.
ISSN:1099-4300

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