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

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Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

VGTU

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

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

Kaynak

Mathematical Modelling and Analysis

WoS Q Değeri

N/A

Scopus Q Değeri

N/A

Cilt

26

Sayı

3

Künye