A Dynamic-Order Fractional Dynamic System
Mathematical Physics
2013-04-10 v4 math.MP
Fluid Dynamics
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.
Cite
@article{arxiv.1103.0082,
title = {A Dynamic-Order Fractional Dynamic System},
author = {HongGuang Sun and Hu Sheng and YangQuan Chen and Wen Chen and ZhongBo Yu},
journal= {arXiv preprint arXiv:1103.0082},
year = {2013}
}
Comments
10 pages, 5 figures