Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations-Reference-Cited by-同舟云学术

Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations

Published:2017 Issue: Volume:2017 Page:1-9
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Liu Hongliang¹^ORCID,Fu Yayun¹,Li Bailing¹

Affiliation:

1. Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, China

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.

Funder

Hunan Education Department

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2017/6306570.pdf

Reference36 articles.

1. Laplace transform for solving some families of fractional differential equations and its applications

2. Impulse response function of an oscillator with fractional derivative in damping description

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