Citation
Kilicman, Adem and Eltayeb, Hassan
(2012)
Some remarks on the Sumudu and Laplace transforms and applications to differential equations.
ISRN Applied Mathematics, 2012.
art. no. 591517.
pp. 1-13.
ISSN 2090-5564; ESSN: 2090-5572
Abstract
We study the relationship between Sumudu and Laplace transforms and further make some comparison on the solutions. We provide some counterexamples where if the solution of differential equations exists by Laplace transform, the solution does not necessarily exist by using the Sumudu transform; however, the examples indicate that if the solution of differential equation by Sumudu transform exists then the solution necessarily exists by Laplace transform.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research Faculty of Science |
| DOI Number: | https://doi.org/10.5402/2012/591517 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Sumudu transform; Laplace transform |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 15 Jul 2013 07:35 |
| Last Modified: | 28 Mar 2016 00:43 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.5402/2012/591517 |
| URI: | http://psasir.upm.edu.my/id/eprint/25203 |
| Statistic Details: | View Download Statistic |
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