Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations. (15th June 2017)

• Record Type: Journal Article
• Authors: Liu, Hongliang; Fu, Yayun; Li, Bailing
• Other Names: Romanelli Silvia Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2017(2017)
• Publication Date: 2017-06-15
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2017/6306570
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : Fractional order delay differential-algebraic equations have the characteristics of time lag and memory and constraint limit. These yield some difficulties in the theoretical analysis and numerical computation. In this paper, we are devoted to solving them by the waveform relaxation method. The corresponding convergence results are obtained, and some numerical examples show the efficiency of the method.