Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators
The present article correlates with a fuzzy hybrid technique combined with an iterative transformation technique identified as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we demonstrate the consistency of this method by ac...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2504031 |
| _version_ | 1798025605047910400 |
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| author | Mohammed Kbiri Alaoui F. M. Alharbi Shamsullah Zaland |
| author_facet | Mohammed Kbiri Alaoui F. M. Alharbi Shamsullah Zaland |
| author_sort | Mohammed Kbiri Alaoui |
| collection | DOAJ |
| description | The present article correlates with a fuzzy hybrid technique combined with an iterative transformation technique identified as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we demonstrate the consistency of this method by achieving fuzzy fractional gas dynamics equations with fuzzy initial conditions. The achieved series solution was determined and contacted the estimated value of the suggested equation. To confirm our technique, three problems have been presented, and the results were estimated in fuzzy type. The lower and upper portions of the fuzzy solution in all three examples were simulated using two distinct fractional orders between 0 and 1. Because the exponential function is present, the fractional operator is nonsingular and global. It provides all forms of fuzzy solutions occurring between 0 and 1 at any fractional-order because it globalizes the dynamical behavior of the given equation. Because the fuzzy number provides the solution in fuzzy form, with upper and lower branches, fuzziness is also incorporated in the unknown quantity. It is essential to mention that the projected methodology to fuzziness is to confirm the superiority and efficiency of constructing numerical results to nonlinear fuzzy fractional partial differential equations arising in physical and complex structures. |
| first_indexed | 2024-04-11T18:21:35Z |
| format | Article |
| id | doaj.art-f2ef78a0b103417a946fcbe41a9e5b53 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-04-11T18:21:35Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-f2ef78a0b103417a946fcbe41a9e5b532022-12-22T04:09:46ZengHindawi LimitedJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2504031Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy OperatorsMohammed Kbiri Alaoui0F. M. Alharbi1Shamsullah Zaland2Department of MathematicsDeanship of Common First YearDepartment of MathematicsThe present article correlates with a fuzzy hybrid technique combined with an iterative transformation technique identified as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we demonstrate the consistency of this method by achieving fuzzy fractional gas dynamics equations with fuzzy initial conditions. The achieved series solution was determined and contacted the estimated value of the suggested equation. To confirm our technique, three problems have been presented, and the results were estimated in fuzzy type. The lower and upper portions of the fuzzy solution in all three examples were simulated using two distinct fractional orders between 0 and 1. Because the exponential function is present, the fractional operator is nonsingular and global. It provides all forms of fuzzy solutions occurring between 0 and 1 at any fractional-order because it globalizes the dynamical behavior of the given equation. Because the fuzzy number provides the solution in fuzzy form, with upper and lower branches, fuzziness is also incorporated in the unknown quantity. It is essential to mention that the projected methodology to fuzziness is to confirm the superiority and efficiency of constructing numerical results to nonlinear fuzzy fractional partial differential equations arising in physical and complex structures.http://dx.doi.org/10.1155/2022/2504031 |
| spellingShingle | Mohammed Kbiri Alaoui F. M. Alharbi Shamsullah Zaland Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators Journal of Function Spaces |
| title | Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators |
| title_full | Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators |
| title_fullStr | Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators |
| title_full_unstemmed | Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators |
| title_short | Novel Analysis of Fuzzy Physical Models by Generalized Fractional Fuzzy Operators |
| title_sort | novel analysis of fuzzy physical models by generalized fractional fuzzy operators |
| url | http://dx.doi.org/10.1155/2022/2504031 |
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