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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...

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Main Authors: Kilicman, Adem, Eltayeb, Hassan
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25203/1/25203.pdf
http://psasir.upm.edu.my/id/eprint/25203/
http://www.hindawi.com/journals/isrn/2012/591517/abs/
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id my.upm.eprints.25203
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spelling my.upm.eprints.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
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
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.
format Article
author Kilicman, Adem
Eltayeb, Hassan
spellingShingle Kilicman, Adem
Eltayeb, Hassan
Some remarks on the Sumudu and Laplace transforms and applications to differential equations
author_facet Kilicman, Adem
Eltayeb, Hassan
author_sort Kilicman, Adem
title 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_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_sort some remarks on the sumudu and laplace transforms and applications to differential equations
publisher Hindawi Publishing Corporation
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/25203/1/25203.pdf
http://psasir.upm.edu.my/id/eprint/25203/
http://www.hindawi.com/journals/isrn/2012/591517/abs/
_version_ 1643828590411776000
score 13.244367

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