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电报传输过程及其分数阶推广：综述与一些扩展

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

作者信息

Masoliver Jaume

机构信息

Department of Condensed Matter Physics and Complex Systems Institute (UBICS), University of Barcelona, 08007 Barcelona, Catalonia, Spain.

出版信息

Entropy (Basel). 2021 Mar 18;23(3):364. doi: 10.3390/e23030364.

DOI:10.3390/e23030364
PMID:33803883
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8003232/
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.

摘要

我们研究了多个维度下的电报传输问题。我们回顾了二维和三维电报方程的推导过程，以及它们从微观随机游走传输模型（正常和反常）得出的分数阶推广形式。我们还给出了高维分数阶方程解的新结果。

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5
Fractional telegrapher's equation from fractional persistent random walks.分形遍历随机游动的分数电报方程。
Phys Rev E. 2016 May;93(5):052107. doi: 10.1103/PhysRevE.93.052107. Epub 2016 May 3.
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