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

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...

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Main Authors: Atangana, Abdon, Kilicman, Adem
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30129/1/A%20possible%20generalization%20of%20acoustic%20wave%20equation%20using%20the%20concept%20of%20perturbed%20derivative%20order.pdf
http://psasir.upm.edu.my/id/eprint/30129/
http://www.hindawi.com/journals/mpe/2013/696597/
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spelling my.upm.eprints.301292015-09-21T07:27:07Z http://psasir.upm.edu.my/id/eprint/30129/ A possible generalization of acoustic wave equation using the concept of perturbed derivative order Atangana, Abdon Kilicman, Adem 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30129/1/A%20possible%20generalization%20of%20acoustic%20wave%20equation%20using%20the%20concept%20of%20perturbed%20derivative%20order.pdf 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 http://www.hindawi.com/journals/mpe/2013/696597/ 10.1155/2013/696597 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description 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.
format Article
author Atangana, Abdon
Kilicman, Adem
spellingShingle Atangana, Abdon
Kilicman, Adem
A possible generalization of acoustic wave equation using the concept of perturbed derivative order
author_facet Atangana, Abdon
Kilicman, Adem
author_sort Atangana, Abdon
title A possible generalization of acoustic wave equation using the concept of perturbed derivative order
title_short A possible generalization of acoustic wave equation using the concept of perturbed derivative order
title_full A possible generalization of acoustic wave equation using the concept of perturbed derivative order
title_fullStr A possible generalization of acoustic wave equation using the concept of perturbed derivative order
title_full_unstemmed A possible generalization of acoustic wave equation using the concept of perturbed derivative order
title_sort possible generalization of acoustic wave equation using the concept of perturbed derivative order
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30129/1/A%20possible%20generalization%20of%20acoustic%20wave%20equation%20using%20the%20concept%20of%20perturbed%20derivative%20order.pdf
http://psasir.upm.edu.my/id/eprint/30129/
http://www.hindawi.com/journals/mpe/2013/696597/
_version_ 1643829966267219968
score 13.223943

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