A Note on the Time-Fractional Navier–Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method
In this work, the time-fractional Navier–Stokes equation is discussed using a calculational method, which is called the Sumudu-generalized Laplace transform decomposition method (DGLTDM). The fractional derivatives are defined in the Caputo sense. The (DGLTDM) is a hybrid of the Sumudu-generalized L...
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MDPI AG
2024-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/13/1/44 |
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| author | Hassan Eltayeb Imed Bachar Said Mesloub |
| author_facet | Hassan Eltayeb Imed Bachar Said Mesloub |
| author_sort | Hassan Eltayeb |
| collection | DOAJ |
| description | In this work, the time-fractional Navier–Stokes equation is discussed using a calculational method, which is called the Sumudu-generalized Laplace transform decomposition method (DGLTDM). The fractional derivatives are defined in the Caputo sense. The (DGLTDM) is a hybrid of the Sumudu-generalized Laplace transform and the decomposition method. Three examples of the time-fractional Navier–Stokes equation are studied to check the validity and demonstrate the effectiveness of the current method. The results show that the suggested method succeeds remarkably well in terms of proficiency and can be utilized to study more problems in the field of nonlinear fractional differential equations (FDEs). |
| first_indexed | 2024-03-08T11:05:15Z |
| format | Article |
| id | doaj.art-5a3beb3bf8634744a34b10d1ee4564ae |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-08T11:05:15Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-5a3beb3bf8634744a34b10d1ee4564ae2024-01-26T15:03:42ZengMDPI AGAxioms2075-16802024-01-011314410.3390/axioms13010044A Note on the Time-Fractional Navier–Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition MethodHassan Eltayeb0Imed Bachar1Said Mesloub2Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn this work, the time-fractional Navier–Stokes equation is discussed using a calculational method, which is called the Sumudu-generalized Laplace transform decomposition method (DGLTDM). The fractional derivatives are defined in the Caputo sense. The (DGLTDM) is a hybrid of the Sumudu-generalized Laplace transform and the decomposition method. Three examples of the time-fractional Navier–Stokes equation are studied to check the validity and demonstrate the effectiveness of the current method. The results show that the suggested method succeeds remarkably well in terms of proficiency and can be utilized to study more problems in the field of nonlinear fractional differential equations (FDEs).https://www.mdpi.com/2075-1680/13/1/44double Sumudu transformdouble Sumudu-generalized Laplace transforminverse double Sumudu-generalized Laplace transformfractional Navier–Stokes equationdecomposition methods |
| spellingShingle | Hassan Eltayeb Imed Bachar Said Mesloub A Note on the Time-Fractional Navier–Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method Axioms double Sumudu transform double Sumudu-generalized Laplace transform inverse double Sumudu-generalized Laplace transform fractional Navier–Stokes equation decomposition methods |
| title | A Note on the Time-Fractional Navier–Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method |
| title_full | A Note on the Time-Fractional Navier–Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method |
| title_fullStr | A Note on the Time-Fractional Navier–Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method |
| title_full_unstemmed | A Note on the Time-Fractional Navier–Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method |
| title_short | A Note on the Time-Fractional Navier–Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method |
| title_sort | note on the time fractional navier stokes equation and the double sumudu generalized laplace transform decomposition method |
| topic | double Sumudu transform double Sumudu-generalized Laplace transform inverse double Sumudu-generalized Laplace transform fractional Navier–Stokes equation decomposition methods |
| url | https://www.mdpi.com/2075-1680/13/1/44 |
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