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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Detalles Bibliográficos
Autor principal: Masoliver, Jaume
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8003232/
https://www.ncbi.nlm.nih.gov/pubmed/33803883
http://dx.doi.org/10.3390/e23030364
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author Masoliver, Jaume
author_facet Masoliver, Jaume
author_sort Masoliver, Jaume
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description 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.
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spelling pubmed-80032322021-03-28 Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions Masoliver, Jaume Entropy (Basel) Review 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. MDPI 2021-03-18 /pmc/articles/PMC8003232/ /pubmed/33803883 http://dx.doi.org/10.3390/e23030364 Text en © 2021 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) ).
spellingShingle Review
Masoliver, Jaume
Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions
title Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions
title_full Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions
title_fullStr Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions
title_full_unstemmed Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions
title_short Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions
title_sort telegraphic transport processes and their fractional generalization: a review and some extensions
topic Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8003232/
https://www.ncbi.nlm.nih.gov/pubmed/33803883
http://dx.doi.org/10.3390/e23030364
work_keys_str_mv AT masoliverjaume telegraphictransportprocessesandtheirfractionalgeneralizationareviewandsomeextensions

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