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 language | English (US) |
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Pages (from-to) | 503-518 |
Number of pages | 16 |
Journal | Mathematical Modelling and Analysis |
Volume | 26 |
Issue number | 3 |
DOIs | |
State | Published - Jul 13 2021 |
Keywords
- Euler-Bernoulli beam
- Existence and uniqueness
- Inverse coefficient problem
ASJC Scopus subject areas
- Analysis
- Modeling and Simulation