Double Conformable Sumudu Transform
In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving a heat equation, a wave equation, and a telegraph equation by modifying the double Sumudu transform of the fractional type. We discuss a modified double conformable Sumudu transform togethe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-10-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/11/2249 |
| _version_ | 1797466399449284608 |
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| author | Abdallah Al-Rab’a Sharifa Al-Sharif Mohammad Al-Khaleel |
| author_facet | Abdallah Al-Rab’a Sharifa Al-Sharif Mohammad Al-Khaleel |
| author_sort | Abdallah Al-Rab’a |
| collection | DOAJ |
| description | In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving a heat equation, a wave equation, and a telegraph equation by modifying the double Sumudu transform of the fractional type. We discuss a modified double conformable Sumudu transform together with the conditions for its existence. In addition, we prove some more properties of the fractional-type Sumudu transform, including convolution and other properties, which are well known for their use in solving various symmetric and asymmetric problems in applied sciences and engineering. |
| first_indexed | 2024-03-09T18:36:25Z |
| format | Article |
| id | doaj.art-a0fa05176fc24c41a8412f2467749802 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T18:36:25Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-a0fa05176fc24c41a8412f24677498022023-11-24T07:07:15ZengMDPI AGSymmetry2073-89942022-10-011411224910.3390/sym14112249Double Conformable Sumudu TransformAbdallah Al-Rab’a0Sharifa Al-Sharif1Mohammad Al-Khaleel2Department of Mathematics, Yarmouk University, Irbid 21163, JordanDepartment of Mathematics, Yarmouk University, Irbid 21163, JordanDepartment of Mathematics, Yarmouk University, Irbid 21163, JordanIn this paper, we introduce a new approach to solving fractional initial and boundary value problems involving a heat equation, a wave equation, and a telegraph equation by modifying the double Sumudu transform of the fractional type. We discuss a modified double conformable Sumudu transform together with the conditions for its existence. In addition, we prove some more properties of the fractional-type Sumudu transform, including convolution and other properties, which are well known for their use in solving various symmetric and asymmetric problems in applied sciences and engineering.https://www.mdpi.com/2073-8994/14/11/2249conformable fractional derivativeSumudu transformconvolution |
| spellingShingle | Abdallah Al-Rab’a Sharifa Al-Sharif Mohammad Al-Khaleel Double Conformable Sumudu Transform Symmetry conformable fractional derivative Sumudu transform convolution |
| title | Double Conformable Sumudu Transform |
| title_full | Double Conformable Sumudu Transform |
| title_fullStr | Double Conformable Sumudu Transform |
| title_full_unstemmed | Double Conformable Sumudu Transform |
| title_short | Double Conformable Sumudu Transform |
| title_sort | double conformable sumudu transform |
| topic | conformable fractional derivative Sumudu transform convolution |
| url | https://www.mdpi.com/2073-8994/14/11/2249 |
| work_keys_str_mv | AT abdallahalraba doubleconformablesumudutransform AT sharifaalsharif doubleconformablesumudutransform AT mohammadalkhaleel doubleconformablesumudutransform |