Efficient results on unbounded solutions of fractional Bagley-Torvik system on the half-line

Sabri T.M. Thabet, Imed Kedim, Miguel Vivas-Cortez

Producción científica: Contribución a una revistaArtículorevisión exhaustiva


The fractional Bagley-Torvik system (FBTS) is initially created by utilizing fractional calculus to study the demeanor of real materials. It can be described as the dynamics of an inflexible plate dipped in a Newtonian fluid. In the present article, we aim for the first time to discuss the existence and uniqueness (E&U) theories of an unbounded solution for the proposed generalized FBTS involving Riemann-Liouville fractional derivatives in the half-line (0, ∞), by using fixed point theorems (FPTs). Moreover, the Hyers-Ulam stability (HUS), Hyers-Ulam-Rassias stability (HURS), and semi-Hyers-Ulam-Rassias stability (sHURS) are proved. Finally, two numerical examples are given for checking the validity of major findings. By investigating unbounded solutions for the FBTS, engineers gain a deeper understanding of the underlying physics, optimize performance, improve system design, and ensure the stability of the motion of real materials in a Newtonian fluid.

Idioma originalInglés
Páginas (desde-hasta)5071-5087
Número de páginas17
PublicaciónAIMS Mathematics
EstadoPublicada - 24 ene. 2024

Nota bibliográfica

Publisher Copyright:
© 2024 the Author(s), licensee AIMS Press.


Profundice en los temas de investigación de 'Efficient results on unbounded solutions of fractional Bagley-Torvik system on the half-line'. En conjunto forman una huella única.

Citar esto