Fractional double Laplace transform and its properties
In this article, we introduce definition of a fractional double Laplace transform of order α, 0 < α ≤ 1, for fractional differentiable functions. Some main properties and inversion theorem of fractional double Laplace transform are established. Further, the connection between fractional double La...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57637/ http://psasir.upm.edu.my/id/eprint/57637/1/Fractional%20double%20Laplace%20transform%20and%20its%20properties.pdf |
| _version_ | 1848853422012366848 |
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| author | Omran, Maryam Kilicman, Adem |
| author_facet | Omran, Maryam Kilicman, Adem |
| author_sort | Omran, Maryam |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this article, we introduce definition of a fractional double Laplace transform of order α, 0 < α ≤ 1, for fractional differentiable functions. Some main properties and inversion theorem of fractional double Laplace transform are established. Further, the connection between fractional double Laplace and fractional double Sumudu transforms are presented. |
| first_indexed | 2025-11-15T10:53:43Z |
| format | Conference or Workshop Item |
| id | upm-57637 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:43Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-576372017-10-24T08:35:26Z http://psasir.upm.edu.my/id/eprint/57637/ Fractional double Laplace transform and its properties Omran, Maryam Kilicman, Adem In this article, we introduce definition of a fractional double Laplace transform of order α, 0 < α ≤ 1, for fractional differentiable functions. Some main properties and inversion theorem of fractional double Laplace transform are established. Further, the connection between fractional double Laplace and fractional double Sumudu transforms are presented. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57637/1/Fractional%20double%20Laplace%20transform%20and%20its%20properties.pdf Omran, Maryam and Kilicman, Adem (2016) Fractional double Laplace transform and its properties. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8). 10.1063/1.4972165 |
| spellingShingle | Omran, Maryam Kilicman, Adem Fractional double Laplace transform and its properties |
| title | Fractional double Laplace transform and its properties |
| title_full | Fractional double Laplace transform and its properties |
| title_fullStr | Fractional double Laplace transform and its properties |
| title_full_unstemmed | Fractional double Laplace transform and its properties |
| title_short | Fractional double Laplace transform and its properties |
| title_sort | fractional double laplace transform and its properties |
| url | http://psasir.upm.edu.my/id/eprint/57637/ http://psasir.upm.edu.my/id/eprint/57637/ http://psasir.upm.edu.my/id/eprint/57637/1/Fractional%20double%20Laplace%20transform%20and%20its%20properties.pdf |