A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field Type
In this paper, we investigate a general maximum principle for discrete fractional stochastic difference system of mean-field type. The admissible control domain is nonconvex. We give Malliavin calculus for discrete-time case to deal with the fractional terms. The maximum principle of general type is...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2024/3386753 |
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| _version_ | 1850157533795188736 |
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| author | Zheng Li Fei Chen Ning Li Di Wu Xiangyue Yu |
| author_facet | Zheng Li Fei Chen Ning Li Di Wu Xiangyue Yu |
| author_sort | Zheng Li |
| collection | DOAJ |
| description | In this paper, we investigate a general maximum principle for discrete fractional stochastic difference system of mean-field type. The admissible control domain is nonconvex. We give Malliavin calculus for discrete-time case to deal with the fractional terms. The maximum principle of general type is derived by classical variation and linear operator methods. In addition, a linear-quadratic problem is solved to illustrate the main result and we also figure out a numerical result in this case. |
| format | Article |
| id | doaj-art-359cc06dfdc049b3a41873255ebf3066 |
| institution | OA Journals |
| issn | 1607-887X |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-359cc06dfdc049b3a41873255ebf30662025-08-20T02:24:08ZengWileyDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/2024/3386753A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field TypeZheng Li0Fei Chen1Ning Li2Di Wu3Xiangyue Yu4Changchun Institute of OpticsChangchun Institute of OpticsChangchun Institute of OpticsChangchun Institute of OpticsChangchun Institute of OpticsIn this paper, we investigate a general maximum principle for discrete fractional stochastic difference system of mean-field type. The admissible control domain is nonconvex. We give Malliavin calculus for discrete-time case to deal with the fractional terms. The maximum principle of general type is derived by classical variation and linear operator methods. In addition, a linear-quadratic problem is solved to illustrate the main result and we also figure out a numerical result in this case.http://dx.doi.org/10.1155/2024/3386753 |
| spellingShingle | Zheng Li Fei Chen Ning Li Di Wu Xiangyue Yu A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field Type Discrete Dynamics in Nature and Society |
| title | A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field Type |
| title_full | A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field Type |
| title_fullStr | A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field Type |
| title_full_unstemmed | A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field Type |
| title_short | A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field Type |
| title_sort | general maximum principle for discrete fractional stochastic control system of mean field type |
| url | http://dx.doi.org/10.1155/2024/3386753 |
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