Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method
The analytical behavior of fractional differential equations is often puzzling and difficult to predict under uncertainty. It is crucial to develop a robust, extensive, and extremely successful theory to address these problems. An application of fuzzy fractional differential equations can be found i...
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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/10.1155/2022/7731135 |
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| _version_ | 1832554950411943936 |
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| author | M. Mossa Al-Sawalha Naila Amir Rasool Shah Muhammad Yar |
| author_facet | M. Mossa Al-Sawalha Naila Amir Rasool Shah Muhammad Yar |
| author_sort | M. Mossa Al-Sawalha |
| collection | DOAJ |
| description | The analytical behavior of fractional differential equations is often puzzling and difficult to predict under uncertainty. It is crucial to develop a robust, extensive, and extremely successful theory to address these problems. An application of fuzzy fractional differential equations can be found in applied mathematics and engineering. Using the iterative transform technique, the study determines the analytic solution of fractional fuzzy Emden-Fowler equation in the sense of the Caputo operator, which is applied to evaluate the physical model range in several scientific and engineering disciplines. The derived solutions to the fractional fuzzy Emden-Fowler equations are more generic and applicable to a broader range of problems. Through the translation of fractional fuzzy differential equations into equivalent crisp systems of fractional differential equations, we obtain a parametric description of the solutions. The graphical and numerical representation demonstrates the symmetry among the upper and lower fuzzy solution representations in their simplest form, which may aid in the comprehension of artificial intelligence, control system models, computer science, image processing, quantum optics, medical science, physics, measure theory, stochastic optimization theory, biology, mathematical finance, and other domains, as well as nonfinancial evaluation. |
| format | Article |
| id | doaj-art-f8f0df2600d74424bbe98b2b3e9421ba |
| 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-f8f0df2600d74424bbe98b2b3e9421ba2025-02-03T05:50:01ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7731135Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform MethodM. Mossa Al-Sawalha0Naila Amir1Rasool Shah2Muhammad Yar3Department of MathematicsDepartment of Humanities and SciencesDepartment of MathematicsDepartment of MathematicsThe analytical behavior of fractional differential equations is often puzzling and difficult to predict under uncertainty. It is crucial to develop a robust, extensive, and extremely successful theory to address these problems. An application of fuzzy fractional differential equations can be found in applied mathematics and engineering. Using the iterative transform technique, the study determines the analytic solution of fractional fuzzy Emden-Fowler equation in the sense of the Caputo operator, which is applied to evaluate the physical model range in several scientific and engineering disciplines. The derived solutions to the fractional fuzzy Emden-Fowler equations are more generic and applicable to a broader range of problems. Through the translation of fractional fuzzy differential equations into equivalent crisp systems of fractional differential equations, we obtain a parametric description of the solutions. The graphical and numerical representation demonstrates the symmetry among the upper and lower fuzzy solution representations in their simplest form, which may aid in the comprehension of artificial intelligence, control system models, computer science, image processing, quantum optics, medical science, physics, measure theory, stochastic optimization theory, biology, mathematical finance, and other domains, as well as nonfinancial evaluation.http://dx.doi.org/10.1155/2022/7731135 |
| spellingShingle | M. Mossa Al-Sawalha Naila Amir Rasool Shah Muhammad Yar Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method Journal of Function Spaces |
| title | Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method |
| title_full | Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method |
| title_fullStr | Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method |
| title_full_unstemmed | Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method |
| title_short | Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method |
| title_sort | novel analysis of fuzzy fractional emden fowler equations within new iterative transform method |
| url | http://dx.doi.org/10.1155/2022/7731135 |
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