Some Fundamental Relaxation Properties of Fractional Order Weighted Distributed Parameter Maxwell Model

摘要：

In this paper, we derive in time domain the constitutive equation and relevant properties of the fractional order weighted distributed parameter Maxwell model. The weight function can be replaced by the Fourier series, which leads to three types of fractional order distributed parameter elements. The inverse Laplace transform and asymptotic properties of the relaxation process are derived by the path integral in complex plane, the energy of the weight function and the band width of the Fourier series. A number of simulation results are provided to validate the concepts and some interesting results such as the intermediate phenomena of the discussed models are concluded as well.

关键词： Distributed parameter Constitutive equations Asymptotic property Maxwell Model Fractional calculus.

作者: Lili Cao Yan Li Guohui Tian Baodong Liu YangQuan Chen

作者单位: School of Mathematics, Shandong University, Jinan, Shandong 250061, P. R. China School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P. R. China Software College, Shandong University, Jinan, Shandong 250061,P. R. China Center for Self-Organizing and Intelligent Systems (CSOIS), Electrical and Computer Engineering Depa

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-7

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）