@Article{JNMA-6-2,
author = {Zhiyuan, Liu and Sun, Shurong},
title = {Fractional Langevin Equation at Resonance},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {2},
pages = {288--304},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.288},
url = {https://global-sci.com/article/91154/fractional-langevin-equation-at-resonance}
}