Conformable double Sumudu transformations an efficient approximation solutions to the fractional coupled Burger’s equation
In this paper, we describe a novel approach for solving one-dimensional regular and singular conformable functional Burger’s equations, which we call the conformable double Sumudu composition method. The conformable double Sumudu transform’s existence condition was investigated. We updated the doubl...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-04-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447922001903 |
| _version_ | 1797860417603633152 |
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| author | Mohamed Z. Mohamed Amjad E. Hamza Abdelilah Kamal H. Sedeeg |
| author_facet | Mohamed Z. Mohamed Amjad E. Hamza Abdelilah Kamal H. Sedeeg |
| author_sort | Mohamed Z. Mohamed |
| collection | DOAJ |
| description | In this paper, we describe a novel approach for solving one-dimensional regular and singular conformable functional Burger’s equations, which we call the conformable double Sumudu composition method. The conformable double Sumudu transform’s existence condition was investigated. We updated the double Sumudu transform and paired it with the Adomian decomposition approach to give the accurate answer for nonlinear fractional issues. The novel approach was then used to solve regular and singular conformable fractional coupled Burgers equations. We also give several instances to demonstrate the efficacy of the current strategy |
| first_indexed | 2024-04-09T21:45:30Z |
| format | Article |
| id | doaj.art-551b2543024c4b2a83f213649fc5ef59 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-09T21:45:30Z |
| publishDate | 2023-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-551b2543024c4b2a83f213649fc5ef592023-03-25T05:10:40ZengElsevierAin Shams Engineering Journal2090-44792023-04-01143101879Conformable double Sumudu transformations an efficient approximation solutions to the fractional coupled Burger’s equationMohamed Z. Mohamed0Amjad E. Hamza1Abdelilah Kamal H. Sedeeg2Department of Mathematic, Deanship of Preparatory Programs, University of Ha’il, Ha’il 2440, Saudi Arabia; Corresponding author.Department of Mathematic, Faculty of Sciences, University of Ha’il, Ha’il 2440, Saudi ArabiaDepartment of Mathematic, Faculty of Education-Holy Quran and Islamic Sciences University, SudanIn this paper, we describe a novel approach for solving one-dimensional regular and singular conformable functional Burger’s equations, which we call the conformable double Sumudu composition method. The conformable double Sumudu transform’s existence condition was investigated. We updated the double Sumudu transform and paired it with the Adomian decomposition approach to give the accurate answer for nonlinear fractional issues. The novel approach was then used to solve regular and singular conformable fractional coupled Burgers equations. We also give several instances to demonstrate the efficacy of the current strategyhttp://www.sciencedirect.com/science/article/pii/S2090447922001903Conformable single Sumudu transform(CSST)Conformable double Sumudu transform(CDST)Conformable Fractional Derivative (CFD)Conformable double Sumudu decomposition method (CDSDM)Fractional coupled Burger’s equation |
| spellingShingle | Mohamed Z. Mohamed Amjad E. Hamza Abdelilah Kamal H. Sedeeg Conformable double Sumudu transformations an efficient approximation solutions to the fractional coupled Burger’s equation Ain Shams Engineering Journal Conformable single Sumudu transform(CSST) Conformable double Sumudu transform(CDST) Conformable Fractional Derivative (CFD) Conformable double Sumudu decomposition method (CDSDM) Fractional coupled Burger’s equation |
| title | Conformable double Sumudu transformations an efficient approximation solutions to the fractional coupled Burger’s equation |
| title_full | Conformable double Sumudu transformations an efficient approximation solutions to the fractional coupled Burger’s equation |
| title_fullStr | Conformable double Sumudu transformations an efficient approximation solutions to the fractional coupled Burger’s equation |
| title_full_unstemmed | Conformable double Sumudu transformations an efficient approximation solutions to the fractional coupled Burger’s equation |
| title_short | Conformable double Sumudu transformations an efficient approximation solutions to the fractional coupled Burger’s equation |
| title_sort | conformable double sumudu transformations an efficient approximation solutions to the fractional coupled burger s equation |
| topic | Conformable single Sumudu transform(CSST) Conformable double Sumudu transform(CDST) Conformable Fractional Derivative (CFD) Conformable double Sumudu decomposition method (CDSDM) Fractional coupled Burger’s equation |
| url | http://www.sciencedirect.com/science/article/pii/S2090447922001903 |
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