Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical damped Burgers’ equation is remodeled to fractional differential form via the Ata...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/6/958 |
| _version_ | 1797566097494376448 |
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| author | Sinan Deniz Ali Konuralp Mnauel De la Sen |
| author_facet | Sinan Deniz Ali Konuralp Mnauel De la Sen |
| author_sort | Sinan Deniz |
| collection | DOAJ |
| description | The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical damped Burgers’ equation is remodeled to fractional differential form via the Atangana–Baleanu fractional derivatives described with the help of the Mittag–Leffler function. To display the efficiency of the proposed optimal perturbation iteration technique, an extended example is deeply analyzed. |
| first_indexed | 2024-03-10T19:21:53Z |
| format | Article |
| id | doaj.art-83946bcc078d4477926961f8d1e1c4e8 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T19:21:53Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-83946bcc078d4477926961f8d1e1c4e82023-11-20T02:52:30ZengMDPI AGSymmetry2073-89942020-06-0112695810.3390/sym12060958Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ EquationSinan Deniz0Ali Konuralp1Mnauel De la Sen2Department of Mathematics, Faculty of Art and Sciences, Manisa Celal Bayar University, 45140 Manisa, TurkeyDepartment of Mathematics, Faculty of Art and Sciences, Manisa Celal Bayar University, 45140 Manisa, TurkeyDepartment of Electricity and Electronics, Faculty of Science and Technology, Institute of Research and Development of Processes—IIDP, University of the Basque Country—UPV/EHU, Bo Sarriena s/n (48080), Leioa, 48940 Bizkaia, SpainThe newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical damped Burgers’ equation is remodeled to fractional differential form via the Atangana–Baleanu fractional derivatives described with the help of the Mittag–Leffler function. To display the efficiency of the proposed optimal perturbation iteration technique, an extended example is deeply analyzed.https://www.mdpi.com/2073-8994/12/6/958damped Burgers’ equationAtangana–Baleanu derivativeoptimal perturbation iteration method |
| spellingShingle | Sinan Deniz Ali Konuralp Mnauel De la Sen Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation Symmetry damped Burgers’ equation Atangana–Baleanu derivative optimal perturbation iteration method |
| title | Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation |
| title_full | Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation |
| title_fullStr | Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation |
| title_full_unstemmed | Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation |
| title_short | Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation |
| title_sort | optimal perturbation iteration method for solving fractional model of damped burgers equation |
| topic | damped Burgers’ equation Atangana–Baleanu derivative optimal perturbation iteration method |
| url | https://www.mdpi.com/2073-8994/12/6/958 |
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