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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-10-01
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| Series: | Kuwait Journal of Science |
| Subjects: | |
| Online Access: | https://www.sciencedirect.com/science/article/pii/S2307410825000951?via%3Dihub |
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| Summary: | 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. |
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| ISSN: | 2307-4116 |