On triple g transformation and its properties
In this paper, we defined new triple transformation, which is called the fractional triple g-transformation of the order αl ,0<α≤1 for fractional of differentiable functions. This transformation is generalized to double g-transformation. Which has the following form; Tg_α (u(ξ,τ,μ)=p(s)∫_0^∞▒∫_0...
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| Format: | Article |
| Language: | English |
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College of Computer and Information Technology – University of Wasit, Iraq
2023-09-01
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| Series: | Wasit Journal of Computer and Mathematics Science |
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| Online Access: | https://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/177 |
| _version_ | 1797198920144650240 |
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| author | Ahmed Mahdi Abbood |
| author_facet | Ahmed Mahdi Abbood |
| author_sort | Ahmed Mahdi Abbood |
| collection | DOAJ |
| description |
In this paper, we defined new triple transformation, which is called the fractional triple g-transformation of the order αl ,0<α≤1 for fractional of differentiable functions. This transformation is generalized to double g-transformation. Which has the following form;
Tg_α (u(ξ,τ,μ)=p(s)∫_0^∞▒∫_0^∞▒∫_0^∞▒〖E_α 〖(-(q_1 (s)ξ+q_2 (s)τ+q_3 (s)μ)〗^α 〖(dξ)〗^α 〖(dτ)〗^α 〖(dμ)〗^α 〗
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| first_indexed | 2024-03-07T19:03:19Z |
| format | Article |
| id | doaj.art-57f20af3cc004611b67172a6d46fac88 |
| institution | Directory Open Access Journal |
| issn | 2788-5879 2788-5887 |
| language | English |
| last_indexed | 2024-04-24T07:07:31Z |
| publishDate | 2023-09-01 |
| publisher | College of Computer and Information Technology – University of Wasit, Iraq |
| record_format | Article |
| series | Wasit Journal of Computer and Mathematics Science |
| spelling | doaj.art-57f20af3cc004611b67172a6d46fac882024-04-21T17:28:42ZengCollege of Computer and Information Technology – University of Wasit, IraqWasit Journal of Computer and Mathematics Science2788-58792788-58872023-09-012310.31185/wjcms.177On triple g transformation and its properties Ahmed Mahdi Abbood0https://orcid.org/0009-0006-7656-6897Holy Karbala Education Directorate. Holy Karbala. Iraq In this paper, we defined new triple transformation, which is called the fractional triple g-transformation of the order αl ,0<α≤1 for fractional of differentiable functions. This transformation is generalized to double g-transformation. Which has the following form; Tg_α (u(ξ,τ,μ)=p(s)∫_0^∞▒∫_0^∞▒∫_0^∞▒〖E_α 〖(-(q_1 (s)ξ+q_2 (s)τ+q_3 (s)μ)〗^α 〖(dξ)〗^α 〖(dτ)〗^α 〖(dμ)〗^α 〗 https://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/177Triple transformation, Mittag-Leffler function, T-transformation, Fractional convolution problem, Integral transform. |
| spellingShingle | Ahmed Mahdi Abbood On triple g transformation and its properties Wasit Journal of Computer and Mathematics Science Triple transformation, Mittag-Leffler function, T-transformation, Fractional convolution problem, Integral transform. |
| title | On triple g transformation and its properties |
| title_full | On triple g transformation and its properties |
| title_fullStr | On triple g transformation and its properties |
| title_full_unstemmed | On triple g transformation and its properties |
| title_short | On triple g transformation and its properties |
| title_sort | on triple g transformation and its properties |
| topic | Triple transformation, Mittag-Leffler function, T-transformation, Fractional convolution problem, Integral transform. |
| url | https://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/177 |
| work_keys_str_mv | AT ahmedmahdiabbood ontriplegtransformationanditsproperties |