Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform
In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the Laplace transform stated in corollaries. As coro...
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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: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5523509 |
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| _version_ | 1832561354114859008 |
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| author | Hafte Amsalu Kahsay Adnan Khan Sajjad Khan Kahsay Godifey Wubneh |
| author_facet | Hafte Amsalu Kahsay Adnan Khan Sajjad Khan Kahsay Godifey Wubneh |
| author_sort | Hafte Amsalu Kahsay |
| collection | DOAJ |
| description | In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the Laplace transform stated in corollaries. As corollaries and consequences, many interesting outcomes are exposed to follow from our main results. Also, in this paper, we have converted the Pδ-transform into a classical Laplace transform by changing the variable lnδ−1s+1/δ−1⟶s; then, we get the integral involving the Laplace transform. |
| format | Article |
| id | doaj-art-51b7773d93e5443d882225420c3f6587 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-51b7773d93e5443d882225420c3f65872025-02-03T01:25:15ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55235095523509Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace TransformHafte Amsalu Kahsay0Adnan Khan1Sajjad Khan2Kahsay Godifey Wubneh3Wollo University, College of Natural Science, Department of Mathematics, Dessie, EthiopiaNational College of Business Administration & Economics, Lahore, PakistanNational College of Business Administration & Economics, Lahore, PakistanWollo University, College of Natural Science, Department of Mathematics, Dessie, EthiopiaIn this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the Laplace transform stated in corollaries. As corollaries and consequences, many interesting outcomes are exposed to follow from our main results. Also, in this paper, we have converted the Pδ-transform into a classical Laplace transform by changing the variable lnδ−1s+1/δ−1⟶s; then, we get the integral involving the Laplace transform.http://dx.doi.org/10.1155/2021/5523509 |
| spellingShingle | Hafte Amsalu Kahsay Adnan Khan Sajjad Khan Kahsay Godifey Wubneh Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform Advances in Mathematical Physics |
| title | Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform |
| title_full | Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform |
| title_fullStr | Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform |
| title_full_unstemmed | Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform |
| title_short | Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform |
| title_sort | fractional operators associated with the ք extended mathieu series by using laplace transform |
| url | http://dx.doi.org/10.1155/2021/5523509 |
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