Publication: Solutions of a Fractional Oscillator by Using Differential Transform Method
| dc.authorscopusid | 27667468900 | |
| dc.authorscopusid | 16303495600 | |
| dc.authorscopusid | 8842321100 | |
| dc.contributor.author | Al-Rabtah, A. | |
| dc.contributor.author | Ertürk, V.S. | |
| dc.contributor.author | Momani, S. | |
| dc.date.accessioned | 2020-06-21T14:52:41Z | |
| dc.date.available | 2020-06-21T14:52:41Z | |
| dc.date.issued | 2010 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Al-Rabtah] Adel, Department of Mathematics and Statistics, Mutah University, Karak, Karak, Jordan; [Ertürk] Vedat Suat, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkey; [Momani] Shaher M., Department of Mathematics and Statistics, Mutah University, Karak, Karak, Jordan | en_US |
| dc.description.abstract | In this paper, we present an efficient algorithm for solving a fractional oscillator using the differential transform method. The fractional derivatives are described in the Caputo sense. The application of differential transform method, developed for differential equations of integer order, is extended to derive approximate analytical solutions of a fractional oscillator. The method provides the solution in the form of a rapidly convergent series. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method. © 2009 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2009.06.036 | |
| dc.identifier.endpage | 1362 | en_US |
| dc.identifier.isbn | 80302548 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-74149088718 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 1356 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.camwa.2009.06.036 | |
| dc.identifier.volume | 59 | en_US |
| dc.identifier.wos | WOS:000274767000032 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
| dc.relation.ispartof | Computers & Mathematics With Applications | en_US |
| dc.relation.journal | Computers & Mathematics With Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Differential Transform Method | en_US |
| dc.subject | Fractional Differential Equation | en_US |
| dc.subject | Fractional Oscillator | en_US |
| dc.subject | Numerical Solutions | en_US |
| dc.title | Solutions of a Fractional Oscillator by Using Differential Transform Method | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |