Some remarks on the Sumudu and Laplace transforms and applications to differential equations
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; howe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25203/ http://psasir.upm.edu.my/id/eprint/25203/1/25203.pdf |
| _version_ | 1848845245048946688 |
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| author | Kilicman, Adem Eltayeb, Hassan |
| author_facet | Kilicman, Adem Eltayeb, Hassan |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T08:43:45Z |
| format | Article |
| id | upm-25203 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:43:45Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-252032016-03-28T00:43:38Z http://psasir.upm.edu.my/id/eprint/25203/ Some remarks on the Sumudu and Laplace transforms and applications to differential equations Kilicman, Adem Eltayeb, Hassan 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. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25203/1/25203.pdf 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 http://www.hindawi.com/journals/isrn/2012/591517/abs/ 10.5402/2012/591517 |
| spellingShingle | Kilicman, Adem Eltayeb, Hassan Some remarks on the Sumudu and Laplace transforms and applications to differential equations |
| title | Some remarks on the Sumudu and Laplace transforms and applications to differential equations |
| title_full | Some remarks on the Sumudu and Laplace transforms and applications to differential equations |
| title_fullStr | Some remarks on the Sumudu and Laplace transforms and applications to differential equations |
| title_full_unstemmed | Some remarks on the Sumudu and Laplace transforms and applications to differential equations |
| title_short | Some remarks on the Sumudu and Laplace transforms and applications to differential equations |
| title_sort | some remarks on the sumudu and laplace transforms and applications to differential equations |
| url | http://psasir.upm.edu.my/id/eprint/25203/ http://psasir.upm.edu.my/id/eprint/25203/ http://psasir.upm.edu.my/id/eprint/25203/ http://psasir.upm.edu.my/id/eprint/25203/1/25203.pdf |