A new integral transform and associated distributions
In this paper, we generalize the concepts of a new integral transform, namely the Sumudu transform, to distributions and study some of their properties. Further, we also apply this transform to solve one-dimensional wave equation having a singularity at the initial conditions.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12748/ http://psasir.upm.edu.my/id/eprint/12748/1/A%20new%20integral%20transform%20and%20associated%20distributions.pdf |
| _version_ | 1848841919960973312 |
|---|---|
| author | Eltayeb, Hassan Kilicman, Adem Fisher, Brian |
| author_facet | Eltayeb, Hassan Kilicman, Adem Fisher, Brian |
| author_sort | Eltayeb, Hassan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we generalize the concepts of a new integral transform, namely the Sumudu transform, to distributions and study some of their properties. Further, we also apply this transform to solve one-dimensional wave equation having a singularity at the initial conditions. |
| first_indexed | 2025-11-15T07:50:54Z |
| format | Article |
| id | upm-12748 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:50:54Z |
| publishDate | 2010 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-127482015-09-10T02:46:38Z http://psasir.upm.edu.my/id/eprint/12748/ A new integral transform and associated distributions Eltayeb, Hassan Kilicman, Adem Fisher, Brian In this paper, we generalize the concepts of a new integral transform, namely the Sumudu transform, to distributions and study some of their properties. Further, we also apply this transform to solve one-dimensional wave equation having a singularity at the initial conditions. Taylor & Francis 2010-05 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12748/1/A%20new%20integral%20transform%20and%20associated%20distributions.pdf Eltayeb, Hassan and Kilicman, Adem and Fisher, Brian (2010) A new integral transform and associated distributions. Integral Transforms and Special Functions, 21 (5 ). pp. 367-379. ISSN 1065-2469; ESSN: 1476-8291 10.1080/10652460903335061 |
| spellingShingle | Eltayeb, Hassan Kilicman, Adem Fisher, Brian A new integral transform and associated distributions |
| title | A new integral transform and associated distributions |
| title_full | A new integral transform and associated distributions |
| title_fullStr | A new integral transform and associated distributions |
| title_full_unstemmed | A new integral transform and associated distributions |
| title_short | A new integral transform and associated distributions |
| title_sort | new integral transform and associated distributions |
| url | http://psasir.upm.edu.my/id/eprint/12748/ http://psasir.upm.edu.my/id/eprint/12748/ http://psasir.upm.edu.my/id/eprint/12748/1/A%20new%20integral%20transform%20and%20associated%20distributions.pdf |