Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions
In this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix symbols and extended Pochhammer matrix symbols, re...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/jofs/9578749 |
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| _version_ | 1850178656592199680 |
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| author | Muneera Abdullah Qadha Sarah Abdullah Qadha |
| author_facet | Muneera Abdullah Qadha Sarah Abdullah Qadha |
| author_sort | Muneera Abdullah Qadha |
| collection | DOAJ |
| description | In this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix symbols and extended Pochhammer matrix symbols, respectively. Firstly, we define an extension of the EISAHMFs and ESAHMFs. Subsequently, we investigate integral representations, differential formulas, transformation formulas, and recurrence relations pertaining to EISAHMFs. Then, we present the Mellin matrix transform of the ESAHMFs. Finally, a new result regarding the solution of the fractional kinetic equations in the terms of newly ESAHMFs is discussed. |
| format | Article |
| id | doaj-art-3bc01320a51f4831a5ad55cc7a36780e |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3bc01320a51f4831a5ad55cc7a36780e2025-08-20T02:18:42ZengWileyJournal of Function Spaces2314-88882025-01-01202510.1155/jofs/9578749Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix FunctionsMuneera Abdullah Qadha0Sarah Abdullah Qadha1School of Mathematics and StatisticsSchool of Mathematics and StatisticsIn this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix symbols and extended Pochhammer matrix symbols, respectively. Firstly, we define an extension of the EISAHMFs and ESAHMFs. Subsequently, we investigate integral representations, differential formulas, transformation formulas, and recurrence relations pertaining to EISAHMFs. Then, we present the Mellin matrix transform of the ESAHMFs. Finally, a new result regarding the solution of the fractional kinetic equations in the terms of newly ESAHMFs is discussed.http://dx.doi.org/10.1155/jofs/9578749 |
| spellingShingle | Muneera Abdullah Qadha Sarah Abdullah Qadha Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions Journal of Function Spaces |
| title | Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions |
| title_full | Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions |
| title_fullStr | Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions |
| title_full_unstemmed | Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions |
| title_short | Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions |
| title_sort | solution of fractional kinetic equations involving new extended incomplete second appell hypergeometric matrix functions |
| url | http://dx.doi.org/10.1155/jofs/9578749 |
| work_keys_str_mv | AT muneeraabdullahqadha solutionoffractionalkineticequationsinvolvingnewextendedincompletesecondappellhypergeometricmatrixfunctions AT sarahabdullahqadha solutionoffractionalkineticequationsinvolvingnewextendedincompletesecondappellhypergeometricmatrixfunctions |