Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers
In this paper, we consider a conformable fractional differential equation with a constant coefficient and obtain an approximation for this equation using the Radu–Mihet method, which is derived from the alternative fixed- point theorem. Considering the matrix-valued fuzzy k-normed spaces and matrix-...
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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: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/5630187 |
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| author | Zahra Eidinejad Reza Saadati Tofigh Allahviranloo Farzad Kiani Samad Noeiaghdam Unai Fernandez-Gamiz |
| author_facet | Zahra Eidinejad Reza Saadati Tofigh Allahviranloo Farzad Kiani Samad Noeiaghdam Unai Fernandez-Gamiz |
| author_sort | Zahra Eidinejad |
| collection | DOAJ |
| description | In this paper, we consider a conformable fractional differential equation with a constant coefficient and obtain an approximation for this equation using the Radu–Mihet method, which is derived from the alternative fixed- point theorem. Considering the matrix-valued fuzzy k-normed spaces and matrix-valued fuzzy H-Fox function as a control function, we investigate the existence of a unique solution and Hyers–Ulam-H-Fox stability for this equation. Finally, by providing numerical examples, we show the application of the obtained results. |
| format | Article |
| id | doaj-art-a396e680f7c8432c889bd84839d2fde3 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a396e680f7c8432c889bd84839d2fde32025-02-02T23:03:19ZengWileyComplexity1099-05262022-01-01202210.1155/2022/5630187Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy ControllersZahra Eidinejad0Reza Saadati1Tofigh Allahviranloo2Farzad Kiani3Samad Noeiaghdam4Unai Fernandez-Gamiz5School of MathematicsSchool of MathematicsComputer Engineering DepartmentComputer Engineering DepartmentIndustrial Mathematics LaboratoryNuclear Engineering and Fluid Mechanics DepartmentIn this paper, we consider a conformable fractional differential equation with a constant coefficient and obtain an approximation for this equation using the Radu–Mihet method, which is derived from the alternative fixed- point theorem. Considering the matrix-valued fuzzy k-normed spaces and matrix-valued fuzzy H-Fox function as a control function, we investigate the existence of a unique solution and Hyers–Ulam-H-Fox stability for this equation. Finally, by providing numerical examples, we show the application of the obtained results.http://dx.doi.org/10.1155/2022/5630187 |
| spellingShingle | Zahra Eidinejad Reza Saadati Tofigh Allahviranloo Farzad Kiani Samad Noeiaghdam Unai Fernandez-Gamiz Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers Complexity |
| title | Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers |
| title_full | Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers |
| title_fullStr | Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers |
| title_full_unstemmed | Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers |
| title_short | Existence of a Unique Solution and the Hyers–Ulam-H-Fox Stability of the Conformable Fractional Differential Equation by Matrix-Valued Fuzzy Controllers |
| title_sort | existence of a unique solution and the hyers ulam h fox stability of the conformable fractional differential equation by matrix valued fuzzy controllers |
| url | http://dx.doi.org/10.1155/2022/5630187 |
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