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A possible generalization of acoustic wave equation using the concept of perturbed derivative order

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

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Official URL: http://www.hindawi.com/journals/mpe/2013/696597/

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.

Item Type:Article
Keyword:Wave equations; Fractional order derivatives; Modified equation; Riemann-Liouville fractional derivatives; Standard versions; Variational iteration method.
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2013/696597
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/696597
ID Code:30129
Deposited By: Umikalthom Abdullah
Deposited On:02 Jul 2014 09:14
Last Modified:21 Sep 2015 15:27

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