Fractional Timoshenko beam with a viscoelastically damped rotational component

Banan Al-Homidan, Nasser Eddine Tatar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with a fractional Timoshenko system of order between one and two. We address the question of well-posedness in an appropriate space when the rotational component is viscoelastic or subject to a viscoelastic controller. To this end we use the notion of alpha-resolvent. Moreover, we prove that the memory term alone may stabilize the system in a Mittag-Leffler fashion. The system is Lyapunov stable or uniformly stable in the case of different speeds of propagation.

Original languageEnglish
Pages (from-to)24632-24662
Number of pages31
JournalAIMS Mathematics
Volume8
Issue number10
DOIs
StatePublished - 2023

Bibliographical note

Publisher Copyright:
© 2023 American Institute of Mathematical Sciences, All rights reserved.

Keywords

  • Caputo fractional derivative
  • Lyapunov stability
  • Mittag-Leffler stability
  • Riemann-Liouville fractional derivative
  • multiplier technique

ASJC Scopus subject areas

  • General Mathematics

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