@article{Yan2024, 
author = {Debao Yan},
title = {Quantitative analysis and stability results in  β-normed space for sequential differential equations with variable coefficients involving two fractional derivatives},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {35626-35644},
keywords = {quantitative analysis, sequential fractional differential equations, variable coefficients, β-Ulam-Hyers stability},
url = {https://www.sciopen.com/article/10.3934/math.20241690},
doi = {10.3934/math.20241690},
abstract = {This article conducted an analysis on quantitative properties and stability in a  β-normed space for a category of boundary value problems of nonlinear two-term fractional-order sequential differential equations with variable coefficients. The original problem was converted into an equivalent integral equation. Banach's fixed-point principle and Shaefer's fixed-point theorem were exploited to ensure that two existence conditions of the solutions for the problems were established. In addition, the stability known as  β-Ulam-Hyers for such problems has also been analyzed. Illustrative examples demonstrated practical applications of the work.}
}