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: | Article |
| Language: | English |
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AIP Publishing
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/63114/ http://psasir.upm.edu.my/id/eprint/63114/1/Fractional%20double%20Laplace%20transform%20and%20its%20properties%20.pdf |
| _version_ | 1848854720143163392 |
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| author | Kilicman, Adem Meftah, Maryam Omran |
| author_facet | Kilicman, Adem Meftah, Maryam Omran |
| author_sort | Kilicman, Adem |
| 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 | 2025-11-15T11:14:21Z |
| format | Article |
| id | upm-63114 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:14:21Z |
| publishDate | 2017 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-631142019-12-02T09:14:57Z http://psasir.upm.edu.my/id/eprint/63114/ Fractional double Laplace transform and its properties Kilicman, Adem Meftah, Maryam Omran 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 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/63114/1/Fractional%20double%20Laplace%20transform%20and%20its%20properties%20.pdf Kilicman, Adem and Meftah, Maryam Omran (2017) Fractional double Laplace transform and its properties. AIP Conference Proceedings, 1795 (1). pp. 1-9. ISSN 0094-243X; ESSN: 1551-7616 https://aip.scitation.org/doi/10.1063/1.4972165 10.1063/1.4972165 |
| spellingShingle | Kilicman, Adem Meftah, Maryam Omran 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/63114/ http://psasir.upm.edu.my/id/eprint/63114/ http://psasir.upm.edu.my/id/eprint/63114/ http://psasir.upm.edu.my/id/eprint/63114/1/Fractional%20double%20Laplace%20transform%20and%20its%20properties%20.pdf |