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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30129/ http://psasir.upm.edu.my/id/eprint/30129/1/A%20possible%20generalization%20of%20acoustic%20wave%20equation%20using%20the%20concept%20of%20perturbed%20derivative%20order.pdf |
| _version_ | 1848846590687576064 |
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| author | Atangana, Abdon Kilicman, Adem |
| author_facet | Atangana, Abdon Kilicman, Adem |
| author_sort | Atangana, Abdon |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:05:08Z |
| format | Article |
| id | upm-30129 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:08Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Atangana, Abdon Kilicman, Adem A possible generalization of acoustic wave equation using the concept of perturbed derivative order |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/30129/ http://psasir.upm.edu.my/id/eprint/30129/ http://psasir.upm.edu.my/id/eprint/30129/ http://psasir.upm.edu.my/id/eprint/30129/1/A%20possible%20generalization%20of%20acoustic%20wave%20equation%20using%20the%20concept%20of%20perturbed%20derivative%20order.pdf |