Inverse problem for the time-fractional euler-bernoulli beam equation
Yükleniyor...
Tarih
2021
Yazarlar
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
