0

Full Content is available to subscribers

Subscribe/Learn More  >

Equivalent Same-Order System for Multi-Rational-Order Fractional Differential System With Caputo Derivative

[+] Author Affiliations
Changpin Li

Shanghai University, Shanghai, China

Fengrong Zhang

Shanghai University, Shanghai; China University of Petroleum (East China), Qingdao, China

Paper No. DETC2011-47204, pp. 105-114; 10 pages
doi:10.1115/DETC2011-47204
From:
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5480-8
  • Copyright © 2011 by ASME

abstract

The equivalent same-order system for multi-rational-order fractional differential system with Caputo derivative is studied. With the relationship between Caputo derivative and generalized fractional derivative, we can change the multi-order fractional differential system whose fractional order is rational into a much higher-dimensional fractional differential system with the same order lying in (0,1). Based on the equivalent results, the stability analysis of any multi-rational-order fractional differential system is given. Finally, several examples are provided to illustrate the results in this paper.

Copyright © 2011 by ASME
Topics: Stability

Figures

Tables

Interactive Graphics

Video

Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In