Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation
The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this system works well by getting fractional fuzzy...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6499384 |
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| _version_ | 1832562610885623808 |
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| author | Nehad Ali Shah Essam R. El-Zahar Hina M. Dutt Mohammad Asif Arefin |
| author_facet | Nehad Ali Shah Essam R. El-Zahar Hina M. Dutt Mohammad Asif Arefin |
| author_sort | Nehad Ali Shah |
| collection | DOAJ |
| description | The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this system works well by getting fractional fuzzy Cauchy reaction-diffusion equations with the initial fuzzy condition. Fractional Cauchy reaction-diffusion equations play a significant role in diffusion, and instabilities can lead to formation and stabilization. The suggested technique looks at fuzzy set theory to figure out how to solve the fuzzy Cauchy reaction-diffusion equations. In this way, the components can be quickly defined and a couple of numerical solutions with the uncertainty parameter can be found. Several numerical instances are looked at to show how effective and valuable the proposed technique is to see if the given problem will come to a solution. The simulation results show that the fuzzy new iterative transform method is an excellent way to study a proposed model’s behaviour precisely and accurately. |
| format | Article |
| id | doaj-art-6fb1db2985e647ed893c1809359c97b7 |
| 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-6fb1db2985e647ed893c1809359c97b72025-02-03T01:22:13ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6499384Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion EquationNehad Ali Shah0Essam R. El-Zahar1Hina M. Dutt2Mohammad Asif Arefin3Department of Mechanical EngineeringDepartment of MathematicsDepartment of Humanities and SciencesDepartment of MathematicsThe present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this system works well by getting fractional fuzzy Cauchy reaction-diffusion equations with the initial fuzzy condition. Fractional Cauchy reaction-diffusion equations play a significant role in diffusion, and instabilities can lead to formation and stabilization. The suggested technique looks at fuzzy set theory to figure out how to solve the fuzzy Cauchy reaction-diffusion equations. In this way, the components can be quickly defined and a couple of numerical solutions with the uncertainty parameter can be found. Several numerical instances are looked at to show how effective and valuable the proposed technique is to see if the given problem will come to a solution. The simulation results show that the fuzzy new iterative transform method is an excellent way to study a proposed model’s behaviour precisely and accurately.http://dx.doi.org/10.1155/2022/6499384 |
| spellingShingle | Nehad Ali Shah Essam R. El-Zahar Hina M. Dutt Mohammad Asif Arefin Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation Journal of Function Spaces |
| title | Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation |
| title_full | Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation |
| title_fullStr | Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation |
| title_full_unstemmed | Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation |
| title_short | Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation |
| title_sort | novel evaluation of fuzzy fractional cauchy reaction diffusion equation |
| url | http://dx.doi.org/10.1155/2022/6499384 |
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