Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators
The aim of this study is to introduce new (presumed) generalized fractional integral operators involving I-function as a kernel. In addition, two theorems have been developed under these operators that provide an image formula for this generalized M-series and also to study the different properties...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5527819 |
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| _version_ | 1832560540852944896 |
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| author | D. L. Suthar Fasil Gidaf Mitku Andualem |
| author_facet | D. L. Suthar Fasil Gidaf Mitku Andualem |
| author_sort | D. L. Suthar |
| collection | DOAJ |
| description | The aim of this study is to introduce new (presumed) generalized fractional integral operators involving I-function as a kernel. In addition, two theorems have been developed under these operators that provide an image formula for this generalized M-series and also to study the different properties of the generalized M-series. The corresponding assertions in terms of Euler and Laplace transform methods are presented. Due to the general nature of the I-function and the generalized M-series, a number of results involving special functions can be achieved only by making appropriate values for the parameters. |
| format | Article |
| id | doaj-art-9f0b4f46a4ec49c5b7fae3c4f7dc546a |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9f0b4f46a4ec49c5b7fae3c4f7dc546a2025-02-03T01:27:21ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55278195527819Certain Properties of Generalized M-Series under Generalized Fractional Integral OperatorsD. L. Suthar0Fasil Gidaf1Mitku Andualem2Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, EthiopiaDepartment of Mathematics, Wollo University, P.O. Box: 1145, Dessie, EthiopiaDepartment of Mathematics, Wollo University, P.O. Box: 1145, Dessie, EthiopiaThe aim of this study is to introduce new (presumed) generalized fractional integral operators involving I-function as a kernel. In addition, two theorems have been developed under these operators that provide an image formula for this generalized M-series and also to study the different properties of the generalized M-series. The corresponding assertions in terms of Euler and Laplace transform methods are presented. Due to the general nature of the I-function and the generalized M-series, a number of results involving special functions can be achieved only by making appropriate values for the parameters.http://dx.doi.org/10.1155/2021/5527819 |
| spellingShingle | D. L. Suthar Fasil Gidaf Mitku Andualem Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators Journal of Mathematics |
| title | Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators |
| title_full | Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators |
| title_fullStr | Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators |
| title_full_unstemmed | Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators |
| title_short | Certain Properties of Generalized M-Series under Generalized Fractional Integral Operators |
| title_sort | certain properties of generalized m series under generalized fractional integral operators |
| url | http://dx.doi.org/10.1155/2021/5527819 |
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