Novel Evaluation of Fuzzy Fractional Helmholtz Equations
The current article discusses the fuzzy new iterative transform approach, which is a combination of a fuzzy hybrid methodology and an iterative transformation technique. We establish the consistence of our strategy by obtaining fractional fuzzy Helmholtz equations with the initial fuzzy condition us...
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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/10.1155/2022/8165019 |
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| _version_ | 1832554799378202624 |
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| author | Meshari Alesemi Naveed Iqbal Noorolhuda Wyal |
| author_facet | Meshari Alesemi Naveed Iqbal Noorolhuda Wyal |
| author_sort | Meshari Alesemi |
| collection | DOAJ |
| description | The current article discusses the fuzzy new iterative transform approach, which is a combination of a fuzzy hybrid methodology and an iterative transformation technique. We establish the consistence of our strategy by obtaining fractional fuzzy Helmholtz equations with the initial fuzzy condition using the Caputo derivative under generalized Hukuhara differentiability. The series obtained result was calculated and compared to the proposed equations of the actual result. Three challenges were provided to validate our method, and the outcomes were approximated in fuzzy form. In each of the three examples, the upper and bottom halves of the fuzzy solution were approximated utilizing two various fractional order between 0 and 1. Due to the fact that it globalizes the dynamical behavior of the specified equation, it produces all forms of fuzzy results at any fractional order between 0 and 1. Due to the fact that the fuzzy numbers presents the result in a lower and upper branches fuzzy type, the unknown quantity incorporates fuzziness as well. It is critical to emphasize that the purpose of the proposed fuzziness approach is to demonstrate the efficiency and superiority of numerical solutions to nonlinear fractional fuzzy partial differential equations that arise in complex and physical structures. |
| format | Article |
| id | doaj-art-d9b6d01c4a0a4540a01723da787088db |
| 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-d9b6d01c4a0a4540a01723da787088db2025-02-03T05:50:32ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8165019Novel Evaluation of Fuzzy Fractional Helmholtz EquationsMeshari Alesemi0Naveed Iqbal1Noorolhuda Wyal2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThe current article discusses the fuzzy new iterative transform approach, which is a combination of a fuzzy hybrid methodology and an iterative transformation technique. We establish the consistence of our strategy by obtaining fractional fuzzy Helmholtz equations with the initial fuzzy condition using the Caputo derivative under generalized Hukuhara differentiability. The series obtained result was calculated and compared to the proposed equations of the actual result. Three challenges were provided to validate our method, and the outcomes were approximated in fuzzy form. In each of the three examples, the upper and bottom halves of the fuzzy solution were approximated utilizing two various fractional order between 0 and 1. Due to the fact that it globalizes the dynamical behavior of the specified equation, it produces all forms of fuzzy results at any fractional order between 0 and 1. Due to the fact that the fuzzy numbers presents the result in a lower and upper branches fuzzy type, the unknown quantity incorporates fuzziness as well. It is critical to emphasize that the purpose of the proposed fuzziness approach is to demonstrate the efficiency and superiority of numerical solutions to nonlinear fractional fuzzy partial differential equations that arise in complex and physical structures.http://dx.doi.org/10.1155/2022/8165019 |
| spellingShingle | Meshari Alesemi Naveed Iqbal Noorolhuda Wyal Novel Evaluation of Fuzzy Fractional Helmholtz Equations Journal of Function Spaces |
| title | Novel Evaluation of Fuzzy Fractional Helmholtz Equations |
| title_full | Novel Evaluation of Fuzzy Fractional Helmholtz Equations |
| title_fullStr | Novel Evaluation of Fuzzy Fractional Helmholtz Equations |
| title_full_unstemmed | Novel Evaluation of Fuzzy Fractional Helmholtz Equations |
| title_short | Novel Evaluation of Fuzzy Fractional Helmholtz Equations |
| title_sort | novel evaluation of fuzzy fractional helmholtz equations |
| url | http://dx.doi.org/10.1155/2022/8165019 |
| work_keys_str_mv | AT mesharialesemi novelevaluationoffuzzyfractionalhelmholtzequations AT naveediqbal novelevaluationoffuzzyfractionalhelmholtzequations AT noorolhudawyal novelevaluationoffuzzyfractionalhelmholtzequations |