Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator
This work applies a novel analytical technique to the fractional view analysis of coupled Burgers equations. The proposed problems have been fractionally analyzed in the Caputo-Fabrizio sense. The Yang transformation was initially applied to the specified problem in the current approach. The series...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6231921 |
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| _version_ | 1832564072872148992 |
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| author | Nehad Ali Shah Essam R. El-Zahar Jae Dong Chung |
| author_facet | Nehad Ali Shah Essam R. El-Zahar Jae Dong Chung |
| author_sort | Nehad Ali Shah |
| collection | DOAJ |
| description | This work applies a novel analytical technique to the fractional view analysis of coupled Burgers equations. The proposed problems have been fractionally analyzed in the Caputo-Fabrizio sense. The Yang transformation was initially applied to the specified problem in the current approach. The series form solution is then obtained using the Adomian decomposition technique. The desired analytical solution is obtained after performing the inverse transform. Specific examples of fractional Burgers couple systems are used to validate the proposed technique. The current strategy has been found to be a useful methodology with a close match to actual solutions. The proposed method offers a lower computing cost and a faster convergence rate. As a result, the suggested technique can be applied to a variety of fractional order problems. |
| format | Article |
| id | doaj-art-9f4de96f293448f89d61a0ea01494be5 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9f4de96f293448f89d61a0ea01494be52025-02-03T01:11:56ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6231921Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio OperatorNehad Ali Shah0Essam R. El-Zahar1Jae Dong Chung2Department of Mechanical EngineeringDepartment of MathematicsDepartment of Mechanical EngineeringThis work applies a novel analytical technique to the fractional view analysis of coupled Burgers equations. The proposed problems have been fractionally analyzed in the Caputo-Fabrizio sense. The Yang transformation was initially applied to the specified problem in the current approach. The series form solution is then obtained using the Adomian decomposition technique. The desired analytical solution is obtained after performing the inverse transform. Specific examples of fractional Burgers couple systems are used to validate the proposed technique. The current strategy has been found to be a useful methodology with a close match to actual solutions. The proposed method offers a lower computing cost and a faster convergence rate. As a result, the suggested technique can be applied to a variety of fractional order problems.http://dx.doi.org/10.1155/2022/6231921 |
| spellingShingle | Nehad Ali Shah Essam R. El-Zahar Jae Dong Chung Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator Journal of Function Spaces |
| title | Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator |
| title_full | Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator |
| title_fullStr | Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator |
| title_full_unstemmed | Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator |
| title_short | Fractional Analysis of Coupled Burgers Equations within Yang Caputo-Fabrizio Operator |
| title_sort | fractional analysis of coupled burgers equations within yang caputo fabrizio operator |
| url | http://dx.doi.org/10.1155/2022/6231921 |
| work_keys_str_mv | AT nehadalishah fractionalanalysisofcoupledburgersequationswithinyangcaputofabriziooperator AT essamrelzahar fractionalanalysisofcoupledburgersequationswithinyangcaputofabriziooperator AT jaedongchung fractionalanalysisofcoupledburgersequationswithinyangcaputofabriziooperator |