Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator
This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator. The Laplace transform and the Adomian decomposition method are implemented to obtain the result of the giv...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/7250308 |
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| _version_ | 1832551601260199936 |
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| author | Fatemah Mofarreh A. M. Zidan Muhammad Naeem Rasool Shah Roman Ullah Kamsing Nonlaopon |
| author_facet | Fatemah Mofarreh A. M. Zidan Muhammad Naeem Rasool Shah Roman Ullah Kamsing Nonlaopon |
| author_sort | Fatemah Mofarreh |
| collection | DOAJ |
| description | This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator. The Laplace transform and the Adomian decomposition method are implemented to obtain the result of the given models. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the suggested method. Furthermore, due to the straightforward implementation, the proposed method can solve other nonlinear fractional-order problems. |
| format | Article |
| id | doaj-art-4127681f955d489fa03d520b6401d46f |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4127681f955d489fa03d520b6401d46f2025-02-03T06:01:01ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/7250308Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio OperatorFatemah Mofarreh0A. M. Zidan1Muhammad Naeem2Rasool Shah3Roman Ullah4Kamsing Nonlaopon5Department of Mathematical Sciences College of ScienceDepartment of MathematicsDeanship of Joint First Year Umm Al-Qura UniversityDepartment of MathematicsGeneral Requirements DepartmentDepartment of MathematicsThis paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator. The Laplace transform and the Adomian decomposition method are implemented to obtain the result of the given models. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the suggested method. Furthermore, due to the straightforward implementation, the proposed method can solve other nonlinear fractional-order problems.http://dx.doi.org/10.1155/2021/7250308 |
| spellingShingle | Fatemah Mofarreh A. M. Zidan Muhammad Naeem Rasool Shah Roman Ullah Kamsing Nonlaopon Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator Journal of Function Spaces |
| title | Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator |
| title_full | Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator |
| title_fullStr | Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator |
| title_full_unstemmed | Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator |
| title_short | Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator |
| title_sort | analytical analysis of fractional order physical models via a caputo fabrizio operator |
| url | http://dx.doi.org/10.1155/2021/7250308 |
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