Year: 2024
Author: Zhiyuan Liu, Shurong Sun
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 2 : pp. 288–304
Abstract
The study of fractional Langevin equation has obtained abundant results in recent years. However, there are few studies on resonant fractional Langevin equation. In this paper, we investigate boundary value problems for fractional Langevin equation at resonance. By virtue of Banach contraction mapping principle and Leray-Schauder fixed point theorem, we obtain the uniqueness and existence of solutions. In addition, we get different stability results, including Ulam-Hyres stability and generalized Ulam-Hyres stability. Finally, give relevant examples to demonstrate the main results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.288
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 2 : pp. 288–304
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Fractional order Langevin equation resonance boundary value problems fixed point theorem.