Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model
We consider a type of fuzzy viscoelastic integro-differential model in this paper. With the aid of some appropriate hypotheses, a unified method and the multiplier technique are implemented to get priori estimates precisely without constructing any auxiliary function. By establishing the estimation...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5510106 |
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| _version_ | 1832568527559589888 |
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| author | Fengyun Zhang Funing Lin Guangwang Su Guangming Xue |
| author_facet | Fengyun Zhang Funing Lin Guangwang Su Guangming Xue |
| author_sort | Fengyun Zhang |
| collection | DOAJ |
| description | We consider a type of fuzzy viscoelastic integro-differential model in this paper. With the aid of some appropriate hypotheses, a unified method and the multiplier technique are implemented to get priori estimates precisely without constructing any auxiliary function. By establishing the estimation of energy function, we derive the stability result of the global solution, and we calculate the estimations of energy attenuation in exponential and polynomial forms, respectively. |
| format | Article |
| id | doaj-art-d068bc08650b4d93b77542a6b80f79ca |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d068bc08650b4d93b77542a6b80f79ca2025-02-03T00:58:58ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55101065510106Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential ModelFengyun Zhang0Funing Lin1Guangwang Su2Guangming Xue3Department of Mathematics, Jining University, Qufu 273155, ChinaSchool of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaSchool of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaSchool of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, ChinaWe consider a type of fuzzy viscoelastic integro-differential model in this paper. With the aid of some appropriate hypotheses, a unified method and the multiplier technique are implemented to get priori estimates precisely without constructing any auxiliary function. By establishing the estimation of energy function, we derive the stability result of the global solution, and we calculate the estimations of energy attenuation in exponential and polynomial forms, respectively.http://dx.doi.org/10.1155/2021/5510106 |
| spellingShingle | Fengyun Zhang Funing Lin Guangwang Su Guangming Xue Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model Complexity |
| title | Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model |
| title_full | Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model |
| title_fullStr | Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model |
| title_full_unstemmed | Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model |
| title_short | Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model |
| title_sort | decay estimates for a type of fuzzy viscoelastic integro differential model |
| url | http://dx.doi.org/10.1155/2021/5510106 |
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