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

Fengyun Zhang | Zendy; Funing Lin | Zendy; Guangwang Su | Zendy; Guangming Xue | Zendy

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

Author(s) -

Fengyun Zhang,

Funing Lin,

Guangwang Su,

Guangming Xue

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/5510106

Subject(s) - viscoelasticity , mathematics , a priori and a posteriori , type (biology) , multiplier (economics) , exponential function , fuzzy logic , attenuation , differential (mechanical device) , stability (learning theory) , exponential stability , function (biology) , energy (signal processing) , polynomial , differential equation , computer science , mathematical analysis , statistics , physics , ecology , philosophy , macroeconomics , epistemology , nonlinear system , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , biology , optics , economics , thermodynamics

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.

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