Conformable Double Sumudu Transform with Applications
Recently, a new deformation of the Sumudu transforms namely, conformable Sumudu transform has been introduced. In this article, we generalize the concept of one-dimensional conformable Sumudu transform into two-dimensional conformable Sumudu transform namely, conformable double Sumudu transform. Fur...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2021-04-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_16014_ab7029940a141b84ba43b465b7ba1f6a.pdf |
| _version_ | 1818387688103870464 |
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| author | Suliman Alfaqeih Gizel Bakıcıerler Emine Misirli |
| author_facet | Suliman Alfaqeih Gizel Bakıcıerler Emine Misirli |
| author_sort | Suliman Alfaqeih |
| collection | DOAJ |
| description | Recently, a new deformation of the Sumudu transforms namely, conformable Sumudu transform has been introduced. In this article, we generalize the concept of one-dimensional conformable Sumudu transform into two-dimensional conformable Sumudu transform namely, conformable double Sumudu transform. Further, we present and prove some main properties and theorems related to the introduced transform. In order to illustrate the validity, efficiency, and applicability of the proposed transform, we apply the conformable double Sumudu transform to solve initial and boundary value problems of conformable fractional partial differential equations. |
| first_indexed | 2024-12-14T04:13:55Z |
| format | Article |
| id | doaj.art-f20d13191fc748c48206ae86276af6c5 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 2383-4536 |
| language | English |
| last_indexed | 2024-12-14T04:13:55Z |
| publishDate | 2021-04-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-f20d13191fc748c48206ae86276af6c52022-12-21T23:17:36ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362383-45362021-04-017257858610.22055/jacm.2020.35315.262516014Conformable Double Sumudu Transform with ApplicationsSuliman Alfaqeih0Gizel Bakıcıerler1Emine Misirli2Faculty of Science, Department of Mathematics, Ege University, Izmir – TURKEYFaculty of Science, Department of Mathematics, Ege University, Izmir – TURKEYFaculty of Science, Department of Mathematics, Ege University, Izmir – TURKEYRecently, a new deformation of the Sumudu transforms namely, conformable Sumudu transform has been introduced. In this article, we generalize the concept of one-dimensional conformable Sumudu transform into two-dimensional conformable Sumudu transform namely, conformable double Sumudu transform. Further, we present and prove some main properties and theorems related to the introduced transform. In order to illustrate the validity, efficiency, and applicability of the proposed transform, we apply the conformable double Sumudu transform to solve initial and boundary value problems of conformable fractional partial differential equations.https://jacm.scu.ac.ir/article_16014_ab7029940a141b84ba43b465b7ba1f6a.pdfconformable fractional derivativepartial differential equationtelegraph equationmittag-leffler functionsumudu transform |
| spellingShingle | Suliman Alfaqeih Gizel Bakıcıerler Emine Misirli Conformable Double Sumudu Transform with Applications Journal of Applied and Computational Mechanics conformable fractional derivative partial differential equation telegraph equation mittag-leffler function sumudu transform |
| title | Conformable Double Sumudu Transform with Applications |
| title_full | Conformable Double Sumudu Transform with Applications |
| title_fullStr | Conformable Double Sumudu Transform with Applications |
| title_full_unstemmed | Conformable Double Sumudu Transform with Applications |
| title_short | Conformable Double Sumudu Transform with Applications |
| title_sort | conformable double sumudu transform with applications |
| topic | conformable fractional derivative partial differential equation telegraph equation mittag-leffler function sumudu transform |
| url | https://jacm.scu.ac.ir/article_16014_ab7029940a141b84ba43b465b7ba1f6a.pdf |
| work_keys_str_mv | AT sulimanalfaqeih conformabledoublesumudutransformwithapplications AT gizelbakıcıerler conformabledoublesumudutransformwithapplications AT eminemisirli conformabledoublesumudutransformwithapplications |