Parameter Estimation of Fractional Uncertain Differential Equations
In this paper, we focus on the parameter estimations and some related issues of a class of fractional uncertain differential equations. We obtain the parameter estimations of the considered equations by using rectangular and trapezoidal algorithms for numerical approximation of optimal problems. Sub...
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| Language: | English |
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MDPI AG
2025-02-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/3/138 |
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| author | Jing Ning Zhi Li Liping Xu |
| author_facet | Jing Ning Zhi Li Liping Xu |
| author_sort | Jing Ning |
| collection | DOAJ |
| description | In this paper, we focus on the parameter estimations and some related issues of a class of fractional uncertain differential equations. We obtain the parameter estimations of the considered equations by using rectangular and trapezoidal algorithms for numerical approximation of optimal problems. Subsequently, by taking the trapezoidal method as an example, the predicted variable–corrected variable method is used to solve fractional-order uncertain differential equations, and numerical solutions were demonstrated by using different <inline-formula data-eusoft-scrollable-element="1"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" data-eusoft-scrollable-element="1"><semantics data-eusoft-scrollable-element="1"><mi data-eusoft-scrollable-element="1">α</mi></semantics></math></inline-formula>-paths. Finally, by using the trapezoidal algorithm, we predicted the closing prices of Tencent Holdings for the entire year of 2023 and compared them with actual historical values, showcasing the applicability and effectiveness of this method in practical applications. |
| format | Article |
| id | doaj-art-b72ac397684d486fbd2d6d0986f11f52 |
| institution | DOAJ |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-b72ac397684d486fbd2d6d0986f11f522025-08-20T02:42:32ZengMDPI AGFractal and Fractional2504-31102025-02-019313810.3390/fractalfract9030138Parameter Estimation of Fractional Uncertain Differential EquationsJing Ning0Zhi Li1Liping Xu2School of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaSchool of Information and Mathematics, Yangtze University, Jingzhou 434023, ChinaIn this paper, we focus on the parameter estimations and some related issues of a class of fractional uncertain differential equations. We obtain the parameter estimations of the considered equations by using rectangular and trapezoidal algorithms for numerical approximation of optimal problems. Subsequently, by taking the trapezoidal method as an example, the predicted variable–corrected variable method is used to solve fractional-order uncertain differential equations, and numerical solutions were demonstrated by using different <inline-formula data-eusoft-scrollable-element="1"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" data-eusoft-scrollable-element="1"><semantics data-eusoft-scrollable-element="1"><mi data-eusoft-scrollable-element="1">α</mi></semantics></math></inline-formula>-paths. Finally, by using the trapezoidal algorithm, we predicted the closing prices of Tencent Holdings for the entire year of 2023 and compared them with actual historical values, showcasing the applicability and effectiveness of this method in practical applications.https://www.mdpi.com/2504-3110/9/3/138fractional uncertain differential equationsparameter estimationtrapezoidal methodnumerical solutionsstock prediction |
| spellingShingle | Jing Ning Zhi Li Liping Xu Parameter Estimation of Fractional Uncertain Differential Equations Fractal and Fractional fractional uncertain differential equations parameter estimation trapezoidal method numerical solutions stock prediction |
| title | Parameter Estimation of Fractional Uncertain Differential Equations |
| title_full | Parameter Estimation of Fractional Uncertain Differential Equations |
| title_fullStr | Parameter Estimation of Fractional Uncertain Differential Equations |
| title_full_unstemmed | Parameter Estimation of Fractional Uncertain Differential Equations |
| title_short | Parameter Estimation of Fractional Uncertain Differential Equations |
| title_sort | parameter estimation of fractional uncertain differential equations |
| topic | fractional uncertain differential equations parameter estimation trapezoidal method numerical solutions stock prediction |
| url | https://www.mdpi.com/2504-3110/9/3/138 |
| work_keys_str_mv | AT jingning parameterestimationoffractionaluncertaindifferentialequations AT zhili parameterestimationoffractionaluncertaindifferentialequations AT lipingxu parameterestimationoffractionaluncertaindifferentialequations |