Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function. Further in this paper, some corollaries and consequences are shown that are the special cases of our main findings. We apply the bet...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5560543 |
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| _version_ | 1850158429124952064 |
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| author | Tayyaba Manzoor Adnan Khan Kahsay Godifey Wubneh Hafte Amsalu Kahsay |
| author_facet | Tayyaba Manzoor Adnan Khan Kahsay Godifey Wubneh Hafte Amsalu Kahsay |
| author_sort | Tayyaba Manzoor |
| collection | DOAJ |
| description | In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function. Further in this paper, some corollaries and consequences are shown that are the special cases of our main findings. We apply the beta operator on the right-sided MSM fractional differential operator and on the left-sided MSM fractional differential operator. We also apply beta operator on the right-sided MSM fractional differential operator with Mittag-Leffler function and the left-sided MSM fractional differential operator with Mittag-Leffler function. |
| format | Article |
| id | doaj-art-644145e125f6413794210a0b5350f46d |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-644145e125f6413794210a0b5350f46d2025-08-20T02:23:52ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55605435560543Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler FunctionTayyaba Manzoor0Adnan Khan1Kahsay Godifey Wubneh2Hafte Amsalu Kahsay3National College of Business Administration & Economics, Lahore, PakistanNational College of Business Administration & Economics, Lahore, PakistanDepartment of Mathematics, Wollo University, Dessie, EthiopiaDepartment of Mathematics, Wollo University, Dessie, EthiopiaIn this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function. Further in this paper, some corollaries and consequences are shown that are the special cases of our main findings. We apply the beta operator on the right-sided MSM fractional differential operator and on the left-sided MSM fractional differential operator. We also apply beta operator on the right-sided MSM fractional differential operator with Mittag-Leffler function and the left-sided MSM fractional differential operator with Mittag-Leffler function.http://dx.doi.org/10.1155/2021/5560543 |
| spellingShingle | Tayyaba Manzoor Adnan Khan Kahsay Godifey Wubneh Hafte Amsalu Kahsay Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function Advances in Mathematical Physics |
| title | Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function |
| title_full | Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function |
| title_fullStr | Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function |
| title_full_unstemmed | Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function |
| title_short | Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function |
| title_sort | beta operator with caputo marichev saigo maeda fractional differential operator of extended mittag leffler function |
| url | http://dx.doi.org/10.1155/2021/5560543 |
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