Citation
Atangana, Abdon and Kilicman, Adem
(2013)
A possible generalization of acoustic wave equation using the concept of perturbed derivative order.
Mathematical Problems in Engineering, 2013.
art. no. 696597.
pp. 1-6.
ISSN 1024-123X
Abstract
The standard version of acoustic wave equation is modified using the concept of the generalized Riemann-Liouville fractional order derivative. Some properties of the generalized Riemann-Liouville fractional derivative approximation are presented. Some theorems are generalized. The modified equation is approximately solved by using the variational iteration method and the Green function technique. The numerical simulation of solution of the modified equation gives a better prediction than the standard one.
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Official URL or Download Paper: http://www.hindawi.com/journals/mpe/2013/696597/
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/696597 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Wave equations; Fractional order derivatives; Modified equation; Riemann-Liouville fractional derivatives; Standard versions; Variational iteration method. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 02 Jul 2014 01:14 |
| Last Modified: | 21 Sep 2015 07:27 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/696597 |
| URI: | http://psasir.upm.edu.my/id/eprint/30129 |
| Statistic Details: | View Download Statistic |
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