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

Author

Listed:
  • Fengyun Zhang
  • Funing Lin
  • Guangwang Su
  • Guangming Xue
  • Ahmed Mostafa Khalil

Abstract

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.

Suggested Citation

  • Fengyun Zhang & Funing Lin & Guangwang Su & Guangming Xue & Ahmed Mostafa Khalil, 2021. "Decay Estimates for a Type of Fuzzy Viscoelastic Integro-Differential Model," Complexity, Hindawi, vol. 2021, pages 1-19, March.
    • Handle: RePEc:hin:complx:5510106
    DOI: 10.1155/2021/5510106
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