Numerical Simulation of the Nonlinear Fractional Dynamical Systems with Fractional Damping for the Extensible and Inextensible Pendulum
|
PDF
(1MB)
15090.pdf. |
Description
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally effective fractional predictor-corrector method is used to simulate and examine the effects and solution behavior of the nonlinear dynamical systems with fractional damping for extensible and inextensible pendulum. The corresponding error analysis is derived. Finally, some numerical examples are given. This method and technique can be applied to solve other fractional-order ordinary differential equations.
Impact and interest:
Citation counts are sourced monthly from Scopus and Web of Science® citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.
Full-text downloads:
Full-text downloads displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
| ID Code: | 15090 | ||||
|---|---|---|---|---|---|
| Item Type: | Contribution to Journal (Journal Article) | ||||
| Refereed: | Yes | ||||
| ORCID iD: |
|
||||
| Measurements or Duration: | 21 pages | ||||
| Keywords: | Error Analysis, Fractional Derivative, Nonlinear Fractional Differential Equation, Predictor-Corrector Method, The Extensible and Inextensible Pendulum | ||||
| DOI: | 10.1260/174830107783133888 | ||||
| ISSN: | 1748-3018 | ||||
| Pure ID: | 33742837 | ||||
| Divisions: | Past > QUT Faculties & Divisions > Faculty of Science and Technology Past > QUT Faculties & Divisions > Science & Engineering Faculty Current > Research Centres > Australian Research Centre for Aerospace Automation |
||||
| Copyright Owner: | Copyright 2007 Multi-Science Publishing | ||||
| Copyright Statement: | Reproduced in accordance with the copyright policy of the publisher. | ||||
| Deposited On: | 10 Oct 2008 00:00 | ||||
| Last Modified: | 29 Jun 2024 16:42 |
Export: EndNote | Dublin Core | BibTeX
Repository Staff Only: item control page
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)