Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function
The purpose of this study is to obtain the images of the generalized q-analogue of Mittag–Leffler functions under the Saigo fractional q-differentiation operator, where its argument consists of a factor xζxq−μ+ξ−θ. Corresponding assertions in terms of Weyl q-integral operator, Kober q-integral opera...
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/2828826 |
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| author | Mulugeta Dawud Ali D. L. Suthar |
| author_facet | Mulugeta Dawud Ali D. L. Suthar |
| author_sort | Mulugeta Dawud Ali |
| collection | DOAJ |
| description | The purpose of this study is to obtain the images of the generalized q-analogue of Mittag–Leffler functions under the Saigo fractional q-differentiation operator, where its argument consists of a factor xζxq−μ+ξ−θ. Corresponding assertions in terms of Weyl q-integral operator, Kober q-integral operator, and Riemann–Liouville q-integral operator are presented. We also use the q-Laplace transforms to create their composition formula. In addition, we emphasize their significance in particular. |
| format | Article |
| id | doaj-art-f3b3a3dbec7b4fab9893e226034fde24 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f3b3a3dbec7b4fab9893e226034fde242025-01-28T05:00:04ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/2828826Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler FunctionMulugeta Dawud Ali0D. L. Suthar1Department of MathematicsDepartment of MathematicsThe purpose of this study is to obtain the images of the generalized q-analogue of Mittag–Leffler functions under the Saigo fractional q-differentiation operator, where its argument consists of a factor xζxq−μ+ξ−θ. Corresponding assertions in terms of Weyl q-integral operator, Kober q-integral operator, and Riemann–Liouville q-integral operator are presented. We also use the q-Laplace transforms to create their composition formula. In addition, we emphasize their significance in particular.http://dx.doi.org/10.1155/jom/2828826 |
| spellingShingle | Mulugeta Dawud Ali D. L. Suthar Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function Journal of Mathematics |
| title | Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function |
| title_full | Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function |
| title_fullStr | Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function |
| title_full_unstemmed | Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function |
| title_short | Saigo Fractional q-Differentiation Operator Involving Generalized q-Mittag–Leffler Function |
| title_sort | saigo fractional q differentiation operator involving generalized q mittag leffler function |
| url | http://dx.doi.org/10.1155/jom/2828826 |
| work_keys_str_mv | AT mulugetadawudali saigofractionalqdifferentiationoperatorinvolvinggeneralizedqmittaglefflerfunction AT dlsuthar saigofractionalqdifferentiationoperatorinvolvinggeneralizedqmittaglefflerfunction |