Analytic solutions of fractional kinetic equations involving incomplete -function
This paper expressed the fractional kinetic equation (KE) in terms of the incomplete [Formula: see text]-function, I-function, Fox H-function, and Meijer’s G-function. It assesses the importance of fractional KE in diverse scientific and engineering contexts, highlighting its relevance across variou...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500163 |
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| author | Manisha Meena Mridula Purohit |
| author_facet | Manisha Meena Mridula Purohit |
| author_sort | Manisha Meena |
| collection | DOAJ |
| description | This paper expressed the fractional kinetic equation (KE) in terms of the incomplete [Formula: see text]-function, I-function, Fox H-function, and Meijer’s G-function. It assesses the importance of fractional KE in diverse scientific and engineering contexts, highlighting its relevance across various scenarios. In this paper, we investigate the results of Katugampola’s kinetic fractional equations with the product of the generalized M-series and incomplete [Formula: see text]-function. The [Formula: see text]-Laplace transform is applied for obtaining the desired results. Utilizing an M-series, the universality of this series is harnessed to deduce solutions for a fractional KE. Furthermore, a graphical representation of the obtained solutions’ behaviors is presented, enhancing the impact of the findings. |
| format | Article |
| id | doaj-art-553412750cab4d0bb7d39a3b53f172e9 |
| institution | Kabale University |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-553412750cab4d0bb7d39a3b53f172e92025-01-31T06:15:28ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-01160110.1142/S2661335224500163Analytic solutions of fractional kinetic equations involving incomplete -functionManisha Meena0Mridula Purohit1Department of Mathematics, Vivekananda Global University, Jaipur-303012, IndiaDepartment of Mathematics, Vivekananda Global University, Jaipur-303012, IndiaThis paper expressed the fractional kinetic equation (KE) in terms of the incomplete [Formula: see text]-function, I-function, Fox H-function, and Meijer’s G-function. It assesses the importance of fractional KE in diverse scientific and engineering contexts, highlighting its relevance across various scenarios. In this paper, we investigate the results of Katugampola’s kinetic fractional equations with the product of the generalized M-series and incomplete [Formula: see text]-function. The [Formula: see text]-Laplace transform is applied for obtaining the desired results. Utilizing an M-series, the universality of this series is harnessed to deduce solutions for a fractional KE. Furthermore, a graphical representation of the obtained solutions’ behaviors is presented, enhancing the impact of the findings.https://www.worldscientific.com/doi/10.1142/S2661335224500163Kinetic equationKatugampola fractional integralLaplace transform |
| spellingShingle | Manisha Meena Mridula Purohit Analytic solutions of fractional kinetic equations involving incomplete -function International Journal of Mathematics for Industry Kinetic equation Katugampola fractional integral Laplace transform |
| title | Analytic solutions of fractional kinetic equations involving incomplete -function |
| title_full | Analytic solutions of fractional kinetic equations involving incomplete -function |
| title_fullStr | Analytic solutions of fractional kinetic equations involving incomplete -function |
| title_full_unstemmed | Analytic solutions of fractional kinetic equations involving incomplete -function |
| title_short | Analytic solutions of fractional kinetic equations involving incomplete -function |
| title_sort | analytic solutions of fractional kinetic equations involving incomplete function |
| topic | Kinetic equation Katugampola fractional integral Laplace transform |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500163 |
| work_keys_str_mv | AT manishameena analyticsolutionsoffractionalkineticequationsinvolvingincompletefunction AT mridulapurohit analyticsolutionsoffractionalkineticequationsinvolvingincompletefunction |