Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions
Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations and differential formulae concerning it. We als...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2023/9505980 |
| _version_ | 1797832784869326848 |
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| author | Mohamed Niyaz Ahmed H. Soliman Ahmed Bakhet |
| author_facet | Mohamed Niyaz Ahmed H. Soliman Ahmed Bakhet |
| author_sort | Mohamed Niyaz |
| collection | DOAJ |
| description | Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations and differential formulae concerning it. We also present the Mellin matrix transform of the extended Wright hypergeometric matrix function. After that, we present some fractional calculus findings for these expanded Wright hypergeometric matrix functions. Lastly, we present several theorems of the extended Wright hypergeometric matrix function in fractional Kinetic equations. |
| first_indexed | 2024-04-09T14:14:24Z |
| format | Article |
| id | doaj.art-ab8cb2fbd3364e648dde6b3013aa51b4 |
| institution | Directory Open Access Journal |
| issn | 1687-0409 |
| language | English |
| last_indexed | 2024-04-09T14:14:24Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj.art-ab8cb2fbd3364e648dde6b3013aa51b42023-05-06T00:00:15ZengHindawi LimitedAbstract and Applied Analysis1687-04092023-01-01202310.1155/2023/9505980Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix FunctionsMohamed Niyaz0Ahmed H. Soliman1Ahmed Bakhet2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThroughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations and differential formulae concerning it. We also present the Mellin matrix transform of the extended Wright hypergeometric matrix function. After that, we present some fractional calculus findings for these expanded Wright hypergeometric matrix functions. Lastly, we present several theorems of the extended Wright hypergeometric matrix function in fractional Kinetic equations.http://dx.doi.org/10.1155/2023/9505980 |
| spellingShingle | Mohamed Niyaz Ahmed H. Soliman Ahmed Bakhet Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions Abstract and Applied Analysis |
| title | Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions |
| title_full | Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions |
| title_fullStr | Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions |
| title_full_unstemmed | Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions |
| title_short | Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions |
| title_sort | investigation of fractional calculus for extended wright hypergeometric matrix functions |
| url | http://dx.doi.org/10.1155/2023/9505980 |
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