Composition Formulae for the k-Fractional Calculus Operator with the S-Function
In this study, the S-function is applied to Saigo’s k-fractional order integral and derivative operators involving the k-hypergeometric function in the kernel; outcomes are described in terms of the k-Wright function, which is used to represent image formulas of integral transformations such as the...
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| Main Authors: | , , , |
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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/10.1155/2021/7379820 |
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| _version_ | 1832545941554462720 |
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| author | Hagos Tadesse Haile Habenom Anita Alaria Biniyam Shimelis |
| author_facet | Hagos Tadesse Haile Habenom Anita Alaria Biniyam Shimelis |
| author_sort | Hagos Tadesse |
| collection | DOAJ |
| description | In this study, the S-function is applied to Saigo’s k-fractional order integral and derivative operators involving the k-hypergeometric function in the kernel; outcomes are described in terms of the k-Wright function, which is used to represent image formulas of integral transformations such as the beta transform. Several special cases, such as the fractional calculus operator and the S-function, are also listed. |
| format | Article |
| id | doaj-art-a915c4b4135e4dc485f794c134da30d9 |
| 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-a915c4b4135e4dc485f794c134da30d92025-02-03T07:24:24ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/73798207379820Composition Formulae for the k-Fractional Calculus Operator with the S-FunctionHagos Tadesse0Haile Habenom1Anita Alaria2Biniyam Shimelis3Department of Mathematics, Wollo University, P.O. Box 1145, Dessie, EthiopiaDepartment of Mathematics, Wollo University, P.O. Box 1145, Dessie, EthiopiaNoida Institute of Engg. and Technology, Knowledge Park-II, Greater Noida 201306, IndiaDepartment of Mathematics, Wollo University, P.O. Box 1145, Dessie, EthiopiaIn this study, the S-function is applied to Saigo’s k-fractional order integral and derivative operators involving the k-hypergeometric function in the kernel; outcomes are described in terms of the k-Wright function, which is used to represent image formulas of integral transformations such as the beta transform. Several special cases, such as the fractional calculus operator and the S-function, are also listed.http://dx.doi.org/10.1155/2021/7379820 |
| spellingShingle | Hagos Tadesse Haile Habenom Anita Alaria Biniyam Shimelis Composition Formulae for the k-Fractional Calculus Operator with the S-Function Journal of Mathematics |
| title | Composition Formulae for the k-Fractional Calculus Operator with the S-Function |
| title_full | Composition Formulae for the k-Fractional Calculus Operator with the S-Function |
| title_fullStr | Composition Formulae for the k-Fractional Calculus Operator with the S-Function |
| title_full_unstemmed | Composition Formulae for the k-Fractional Calculus Operator with the S-Function |
| title_short | Composition Formulae for the k-Fractional Calculus Operator with the S-Function |
| title_sort | composition formulae for the k fractional calculus operator with the s function |
| url | http://dx.doi.org/10.1155/2021/7379820 |
| work_keys_str_mv | AT hagostadesse compositionformulaeforthekfractionalcalculusoperatorwiththesfunction AT hailehabenom compositionformulaeforthekfractionalcalculusoperatorwiththesfunction AT anitaalaria compositionformulaeforthekfractionalcalculusoperatorwiththesfunction AT biniyamshimelis compositionformulaeforthekfractionalcalculusoperatorwiththesfunction |