Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam-Hyers stability and travelling waves
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we study a coupled system of beam deflection type that involves nonlinear equations with sequential Caputo fractional derivatives. Under flexible/fixed end-conditions, two main theorems on the existence and uniqueness of solutions are proved by using two fixed point theorems. Some examples are discussed to illustrate the applications of the existence and uniqueness of solution results. Another main result on the Ulam-Hyers stability of solutions for the introduced system is also discussed. Some examples of stability are discussed. New travelling wave solutions are obtained for another conformable coupled system of beam type that has a connection with the first considered system. A conclusion follows at the end.
Açıklama
Anahtar Kelimeler
Existence of solution, Beam deflection, Caputo derivative, Fractional differential equation, Coupled system, Fixed point, Travelling wave, Ulam-Hyers stability, Positive Solutions, 4th-Order, Uniqueness, Evolution
Kaynak
Analysis and Mathematical Physics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
14
Sayı
2
