A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform
In this article, the iterative transformation method and homotopy perturbation transformation method are applied to calculate the solution of time-fractional Cauchy-reaction diffusion equations. In this technique, Shehu transformation is combined of the iteration and the homotopy perturbation techni...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5726822 |
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| author | Mounirah Areshi A. M. Zidan Rasool Shah Kamsing Nonlaopon |
| author_facet | Mounirah Areshi A. M. Zidan Rasool Shah Kamsing Nonlaopon |
| author_sort | Mounirah Areshi |
| collection | DOAJ |
| description | In this article, the iterative transformation method and homotopy perturbation transformation method are applied to calculate the solution of time-fractional Cauchy-reaction diffusion equations. In this technique, Shehu transformation is combined of the iteration and the homotopy perturbation techniques. Four examples are examined to show validation and the efficacy of the present methods. The approximate solutions achieved by the suggested methods indicate that the approach is easy to apply to the given problems. Moreover, the solution in series form has the desire rate of convergence and provides closed-form solutions. It is noted that the procedure can be modified in other directions of fractional order problems. These solutions show that the current technique is very straightforward and helpful to perform in applied sciences. |
| format | Article |
| id | doaj-art-4458cbddf1044852a68d8edcadd69264 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4458cbddf1044852a68d8edcadd692642025-08-20T03:36:03ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/57268225726822A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu TransformMounirah Areshi0A. M. Zidan1Rasool Shah2Kamsing Nonlaopon3Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, College of Science, King Khalid University, P.O. Box: 9004, Abha 61413, Saudi ArabiaDepartment of Mathematics, Abdul Wali Khan University Mardan 23200, PakistanDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandIn this article, the iterative transformation method and homotopy perturbation transformation method are applied to calculate the solution of time-fractional Cauchy-reaction diffusion equations. In this technique, Shehu transformation is combined of the iteration and the homotopy perturbation techniques. Four examples are examined to show validation and the efficacy of the present methods. The approximate solutions achieved by the suggested methods indicate that the approach is easy to apply to the given problems. Moreover, the solution in series form has the desire rate of convergence and provides closed-form solutions. It is noted that the procedure can be modified in other directions of fractional order problems. These solutions show that the current technique is very straightforward and helpful to perform in applied sciences.http://dx.doi.org/10.1155/2021/5726822 |
| spellingShingle | Mounirah Areshi A. M. Zidan Rasool Shah Kamsing Nonlaopon A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform Journal of Function Spaces |
| title | A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform |
| title_full | A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform |
| title_fullStr | A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform |
| title_full_unstemmed | A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform |
| title_short | A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform |
| title_sort | modified techniques of fractional order cauchy reaction diffusion equation via shehu transform |
| url | http://dx.doi.org/10.1155/2021/5726822 |
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