The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function
In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V-function as the kernel. In addition, on account of V-function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponentia...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/9961013 |
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| author | S. Chandak Biniyam Shimelis Nigussie Abeye A. Padma |
| author_facet | S. Chandak Biniyam Shimelis Nigussie Abeye A. Padma |
| author_sort | S. Chandak |
| collection | DOAJ |
| description | In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V-function as the kernel. In addition, on account of V-function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters. |
| format | Article |
| id | doaj-art-0cd4d299b9094548835b1ef5acd640d2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0cd4d299b9094548835b1ef5acd640d22025-02-03T01:24:54ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/99610139961013The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-FunctionS. Chandak0Biniyam Shimelis1Nigussie Abeye2A. Padma3Science and Humanities department, L.D. College of Engineering, -380015, Ahmedabad, IndiaDepartment of Mathematics, Wollo University, Dessie, P.O. Box: 1145, Amhara Region, EthiopiaDepartment of Mathematics, Wollo University, Dessie, P.O. Box: 1145, Amhara Region, EthiopiaDepartment of Mathematics, Chaitanya Bharathi Institute of Technology, Gandipet, Hyderabad, IndiaIn the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V-function as the kernel. In addition, on account of V-function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters.http://dx.doi.org/10.1155/2021/9961013 |
| spellingShingle | S. Chandak Biniyam Shimelis Nigussie Abeye A. Padma The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function Abstract and Applied Analysis |
| title | The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function |
| title_full | The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function |
| title_fullStr | The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function |
| title_full_unstemmed | The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function |
| title_short | The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V-Function |
| title_sort | marichev saigo maeda fractional calculus operators pertaining to the v function |
| url | http://dx.doi.org/10.1155/2021/9961013 |
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