Approximate method for solving strongly fractional nonlinear problems using fuzzy transform
In this research work, we have shown that it is possible to use fuzzy transform method (FTM) for approximate solution of strongly fractional nonlinear problems. In numerical methods, in order to approximate a function on a particular interval, only a restricted number of points are employed. However...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-09-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2018-0123 |
| _version_ | 1818716404159873024 |
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| author | Firozja Mohamad Adabitabar Agheli Bahram |
| author_facet | Firozja Mohamad Adabitabar Agheli Bahram |
| author_sort | Firozja Mohamad Adabitabar |
| collection | DOAJ |
| description | In this research work, we have shown that it is possible to use fuzzy transform method (FTM) for approximate solution of strongly fractional nonlinear problems. In numerical methods, in order to approximate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all points in this interval. The comparison of the time used in minutes is given for two derivatives Caputo derivative and Caputo-Fabrizio derivative. |
| first_indexed | 2024-12-17T19:18:43Z |
| format | Article |
| id | doaj.art-69bd575ed7d2427eb331f8e8a37c29a0 |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-17T19:18:43Z |
| publishDate | 2019-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-69bd575ed7d2427eb331f8e8a37c29a02022-12-21T21:35:39ZengDe GruyterNonlinear Engineering2192-80102192-80292019-09-0191728010.1515/nleng-2018-0123nleng-2018-0123Approximate method for solving strongly fractional nonlinear problems using fuzzy transformFirozja Mohamad Adabitabar0Agheli Bahram1Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranIn this research work, we have shown that it is possible to use fuzzy transform method (FTM) for approximate solution of strongly fractional nonlinear problems. In numerical methods, in order to approximate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all points in this interval. The comparison of the time used in minutes is given for two derivatives Caputo derivative and Caputo-Fabrizio derivative.https://doi.org/10.1515/nleng-2018-0123fuzzy transformriccati differential equationsbratu differential equationscaputo derivativecaputo-fabrizio derivative |
| spellingShingle | Firozja Mohamad Adabitabar Agheli Bahram Approximate method for solving strongly fractional nonlinear problems using fuzzy transform Nonlinear Engineering fuzzy transform riccati differential equations bratu differential equations caputo derivative caputo-fabrizio derivative |
| title | Approximate method for solving strongly fractional nonlinear problems using fuzzy transform |
| title_full | Approximate method for solving strongly fractional nonlinear problems using fuzzy transform |
| title_fullStr | Approximate method for solving strongly fractional nonlinear problems using fuzzy transform |
| title_full_unstemmed | Approximate method for solving strongly fractional nonlinear problems using fuzzy transform |
| title_short | Approximate method for solving strongly fractional nonlinear problems using fuzzy transform |
| title_sort | approximate method for solving strongly fractional nonlinear problems using fuzzy transform |
| topic | fuzzy transform riccati differential equations bratu differential equations caputo derivative caputo-fabrizio derivative |
| url | https://doi.org/10.1515/nleng-2018-0123 |
| work_keys_str_mv | AT firozjamohamadadabitabar approximatemethodforsolvingstronglyfractionalnonlinearproblemsusingfuzzytransform AT aghelibahram approximatemethodforsolvingstronglyfractionalnonlinearproblemsusingfuzzytransform |