Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator
In this article, the new iterative transform technique and homotopy perturbation transform method are applied to calculate the fractional-order Cauchy-reaction diffusion equation solution. Yang transformation is mixed with the new iteration method and homotopy perturbation method in these methods. T...
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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/10.1155/2022/4284060 |
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| _version_ | 1832553679467577344 |
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| author | Meshari Alesemi Naveed Iqbal Mohammed S. Abdo |
| author_facet | Meshari Alesemi Naveed Iqbal Mohammed S. Abdo |
| author_sort | Meshari Alesemi |
| collection | DOAJ |
| description | In this article, the new iterative transform technique and homotopy perturbation transform method are applied to calculate the fractional-order Cauchy-reaction diffusion equation solution. Yang transformation is mixed with the new iteration method and homotopy perturbation method in these methods. The fractional derivative is considered in the sense of Caputo-Fabrizio operator. The convection-diffusion models arise in physical phenomena in which energy, particles, or other physical properties are transferred within a physical process via two processes: diffusion and convection. Four problems are evaluated to demonstrate, show, and verify the present methods’ efficiency. The analytically obtained results by the present method suggest that the method is accurate and simple to implement. |
| format | Article |
| id | doaj-art-543eddbcab8046c3a6e42e9a95f8d4a9 |
| 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-543eddbcab8046c3a6e42e9a95f8d4a92025-02-03T05:53:26ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4284060Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio OperatorMeshari Alesemi0Naveed Iqbal1Mohammed S. Abdo2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, the new iterative transform technique and homotopy perturbation transform method are applied to calculate the fractional-order Cauchy-reaction diffusion equation solution. Yang transformation is mixed with the new iteration method and homotopy perturbation method in these methods. The fractional derivative is considered in the sense of Caputo-Fabrizio operator. The convection-diffusion models arise in physical phenomena in which energy, particles, or other physical properties are transferred within a physical process via two processes: diffusion and convection. Four problems are evaluated to demonstrate, show, and verify the present methods’ efficiency. The analytically obtained results by the present method suggest that the method is accurate and simple to implement.http://dx.doi.org/10.1155/2022/4284060 |
| spellingShingle | Meshari Alesemi Naveed Iqbal Mohammed S. Abdo Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator Journal of Function Spaces |
| title | Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator |
| title_full | Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator |
| title_fullStr | Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator |
| title_full_unstemmed | Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator |
| title_short | Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator |
| title_sort | novel investigation of fractional order cauchy reaction diffusion equation involving caputo fabrizio operator |
| url | http://dx.doi.org/10.1155/2022/4284060 |
| work_keys_str_mv | AT mesharialesemi novelinvestigationoffractionalordercauchyreactiondiffusionequationinvolvingcaputofabriziooperator AT naveediqbal novelinvestigationoffractionalordercauchyreactiondiffusionequationinvolvingcaputofabriziooperator AT mohammedsabdo novelinvestigationoffractionalordercauchyreactiondiffusionequationinvolvingcaputofabriziooperator |