On Novel Fractional Integral and Differential Operators and Their Properties
The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential operators. The convergence and boundedness of the n...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/4165363 |
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| _version_ | 1832547348920664064 |
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| author | Shahid Mubeen Rana Safdar Ali Yasser Elmasry Ebenezer Bonyah Artion Kashuri Gauhar Rahman Çetin Yildiz |
| author_facet | Shahid Mubeen Rana Safdar Ali Yasser Elmasry Ebenezer Bonyah Artion Kashuri Gauhar Rahman Çetin Yildiz |
| author_sort | Shahid Mubeen |
| collection | DOAJ |
| description | The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential operators. The convergence and boundedness of the newly operators and compare them with the existing operators such as the Saigo and Riemann–Liouville fractional operators are explored. The integral transforms of newly defined and generalized fractional operators in terms of the generalized Fox–Wright function are presented. Additionally, we discuss a few exceptional cases of the main result. |
| format | Article |
| id | doaj-art-3ec5d5c5826e48efbe43f8e0831d6473 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3ec5d5c5826e48efbe43f8e0831d64732025-02-03T06:45:11ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/4165363On Novel Fractional Integral and Differential Operators and Their PropertiesShahid Mubeen0Rana Safdar Ali1Yasser Elmasry2Ebenezer Bonyah3Artion Kashuri4Gauhar Rahman5Çetin Yildiz6Department of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of Mathematics EducationDepartment of MathematicsDepartment of Mathematics and StatisticsK.K. Education FacultyThe main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential operators. The convergence and boundedness of the newly operators and compare them with the existing operators such as the Saigo and Riemann–Liouville fractional operators are explored. The integral transforms of newly defined and generalized fractional operators in terms of the generalized Fox–Wright function are presented. Additionally, we discuss a few exceptional cases of the main result.http://dx.doi.org/10.1155/2023/4165363 |
| spellingShingle | Shahid Mubeen Rana Safdar Ali Yasser Elmasry Ebenezer Bonyah Artion Kashuri Gauhar Rahman Çetin Yildiz On Novel Fractional Integral and Differential Operators and Their Properties Journal of Mathematics |
| title | On Novel Fractional Integral and Differential Operators and Their Properties |
| title_full | On Novel Fractional Integral and Differential Operators and Their Properties |
| title_fullStr | On Novel Fractional Integral and Differential Operators and Their Properties |
| title_full_unstemmed | On Novel Fractional Integral and Differential Operators and Their Properties |
| title_short | On Novel Fractional Integral and Differential Operators and Their Properties |
| title_sort | on novel fractional integral and differential operators and their properties |
| url | http://dx.doi.org/10.1155/2023/4165363 |
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