Inverse problem for the time-fractional euler-bernoulli beam equation

Ibrahim Tekin, He Yang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, the classical Euler-Bernoulli beam equation is considered by utilizing fractional calculus. Such an equation is called the time-fractional EulerBernoulli beam equation. The problem of determining the time-dependent coefficient for the fractional Euler-Bernoulli beam equation with homogeneous boundary conditions and an additional measurement is considered, and the existence and uniqueness theorem of the solution is proved by means of the contraction principle on a sufficiently small time interval. Numerical experiments are also provided to verify the theoretical findings.

Original languageEnglish (US)
Pages (from-to)503-518
Number of pages16
JournalMathematical Modelling and Analysis
Volume26
Issue number3
DOIs
StatePublished - Jul 13 2021

Keywords

  • Euler-Bernoulli beam
  • Existence and uniqueness
  • Inverse coefficient problem

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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