Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model

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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Veröffentlicht in:Complexity (New York, N.Y.) N.Y.), 2021, Vol.2021 (1)
Hauptverfasser: Zhang, Fengyun, Lin, Funing, Su, Guangwang, Xue, Guangming
Format: Artikel
Sprache:eng
Schlagworte:
Attenuation
Energy
Hilbert space
Inequality
Polynomials
Viscoelasticity
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Zusammenfassung: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.
ISSN:1076-2787
1099-0526
DOI:10.1155/2021/5510106