Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform
This paper investigates the properties and applications of q-Mittag-Leffler functions with five parameters within the framework of fractional q-kinetic equations. We study the essential properties of these functions using several q-calculus operators, including the q-Riemann-Liouville integral, gene...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-10-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://www.sciencedirect.com/science/article/pii/S2307410825000951?via%3Dihub |
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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 | This paper investigates the properties and applications of q-Mittag-Leffler functions with five parameters within the framework of fractional q-kinetic equations. We study the essential properties of these functions using several q-calculus operators, including the q-Riemann-Liouville integral, generalized q-Weyl derivative operators, and q-transform such as the q-Mellin and q-Shehu transforms. An original method for addressing fractional q-kinetic equations involving generalized q-Mittag-Leffler functions is presented, which
utilizes the q-Shehu transform, a generalization of the q-Laplace transform. Further, we state some significant and special cases of our main results. Finally, we present the obtained solutions in the form of numerical graphs using MATLAB 23 software. |
| format | Article |
| id | doaj-art-bb13440fdaa44ff296b08dbde5974f74 |
| institution | Kabale University |
| issn | 2307-4116 |
| language | English |
| publishDate | 2025-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-bb13440fdaa44ff296b08dbde5974f742025-08-20T03:31:48ZengElsevierKuwait Journal of Science2307-41162025-10-01524100451https://doi.org/10.1016/j.kjs.2025.100451Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transformMulugeta Dawud Ali0https://orcid.org/0009-0009-6282-2062D.L. Suthar1https://orcid.org/0000-0001-9978-2177Department of Mathematics, Wollo University, P.O. Box 1145, Dessie, EthiopiaDepartment of Mathematics, Wollo University, P.O. Box 1145, Dessie, Ethiopia; Department of Mathematics, Saveetha School of Engineering (SIMATS), Thandalam, 600124, Chennai, Tamil Nadu, IndiaThis paper investigates the properties and applications of q-Mittag-Leffler functions with five parameters within the framework of fractional q-kinetic equations. We study the essential properties of these functions using several q-calculus operators, including the q-Riemann-Liouville integral, generalized q-Weyl derivative operators, and q-transform such as the q-Mellin and q-Shehu transforms. An original method for addressing fractional q-kinetic equations involving generalized q-Mittag-Leffler functions is presented, which utilizes the q-Shehu transform, a generalization of the q-Laplace transform. Further, we state some significant and special cases of our main results. Finally, we present the obtained solutions in the form of numerical graphs using MATLAB 23 software.https://www.sciencedirect.com/science/article/pii/S2307410825000951?via%3Dihubq-mittag-leffler functionq-mellin transformq-shehu transformq-gamma functionfractional q-calculus operator |
| spellingShingle | Mulugeta Dawud Ali D.L. Suthar Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform Kuwait Journal of Science q-mittag-leffler function q-mellin transform q-shehu transform q-gamma function fractional q-calculus operator |
| title | Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform |
| title_full | Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform |
| title_fullStr | Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform |
| title_full_unstemmed | Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform |
| title_short | Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform |
| title_sort | application of the generalized q mittag leffler function to fractional q kinetic equations via q shehu transform |
| topic | q-mittag-leffler function q-mellin transform q-shehu transform q-gamma function fractional q-calculus operator |
| url | https://www.sciencedirect.com/science/article/pii/S2307410825000951?via%3Dihub |
| work_keys_str_mv | AT mulugetadawudali applicationofthegeneralizedqmittaglefflerfunctiontofractionalqkineticequationsviaqshehutransform AT dlsuthar applicationofthegeneralizedqmittaglefflerfunctiontofractionalqkineticequationsviaqshehutransform |