A class of nonlinear systems with new boundary conditions: existence of solutions, stability and travelling waves
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Vilnius Gediminas Tech Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we begin by introducing a new notion of coupled closed fractional boundary conditions to study a class of nonlinear sequential systems of Caputo fractional differential equations. The existence and uniqueness of solutions for the class of systems is proved by applying Banach contraction principle. The existence of at least one solution is then accomplished by applying Schauder fixed point theorem. The Ulam Hyers stability, with a limiting-case example, is also discussed. In a second part of our work, we use the tanh method to obtain a new travelling wave solution for the coupled system of Burgers using time and space Khalil derivatives. By bridging these two aspects, we aim to present an understanding of the system's behaviour.
Açıklama
Anahtar Kelimeler
Caputo sequential derivative, coupled system of FDEs, existence and uniqueness, Ulam-Hyers stability, fixed point theorem, travelling wave, Khalil derivative
Kaynak
Mathematical Modellingand Analysis
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
30
Sayı
2
