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Mathematical Physics

arXiv:1103.0082 (math-ph)
[Submitted on 1 Mar 2011 (v1), last revised 9 Apr 2013 (this version, v4)]

Title:A Dynamic-Order Fractional Dynamic System

Authors:HongGuang Sun, Hu Sheng, YangQuan Chen, Wen Chen, ZhongBo Yu
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Abstract:Multi-system interaction is an important and difficult problem in physics. Motivated by the experimental result of an electronic circuit element "Fractor", we introduce the concept of dynamic-order fractional dynamic system, in which the differential-order of a fractional dynamic system is determined by the output signal of another dynamic system. The new concept offers a comprehensive explanation of physical mechanism of multi-system interaction. The properties and potential applications of dynamic-order fractional dynamic systems are further explored with the analysis of anomalous relaxation and diffusion processes.
Comments: 10 pages, 5 figures
Subjects: Mathematical Physics (math-ph); Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:1103.0082 [math-ph]
  (or arXiv:1103.0082v4 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1103.0082
Journal reference: Chinese Physics Letters, 2013, 30(4): 046601
Related DOI: https://doi.org/10.1088/0256-307X/30/4/046601

Submission history

From: Hongguang Sun [view email]
[v1] Tue, 1 Mar 2011 05:03:32 UTC (167 KB)
[v2] Sun, 13 Mar 2011 03:25:08 UTC (166 KB)
[v3] Mon, 13 Jun 2011 21:56:37 UTC (166 KB)
[v4] Tue, 9 Apr 2013 01:55:06 UTC (166 KB)
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