Xiaoyu Bian
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Xiaoyu Bian has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Hongchao Sun
School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, China
2 shared publications - Lishuang Li
School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, China
2 shared publications - Xinguang Zhang
School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, China
2 shared publications - Yonghong Wu
Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia
2 shared publications
Latest Publications
- Open Access
- 15 August 2026
- Published by MDPI AG in Fractal and Fractional
- Vol. 10 (8) , 557
Positive Solutions for Tempered Riemann–Liouville Fractional Equations with Signed Measure and Sign-Changing Perturbations via Spectral Analysis
In this paper, we investigate the existence of positive solutions for a class of p-Laplacian tempered Riemann–Liouville fractional equations involving signed measures and sign-changing perturbations with Riemann–Stieltjes boundary conditions. By performing a spectral analysis of the associated linear operator and applying Gelfand’s formula, we establish several fundamental properties of the principal eigenvalue for the corresponding linear fractional-order differential equations. Furthermore, under suitable growth conditions on the nonlinear terms, we employ the fixed point index theory to derive new existence results for positive solutions of the proposed equations.
- 15 August 2026
- Published by MDPI AG in Fractal and Fractional
- Vol. 10 (8) , 557
Open AccessPositive Solutions for Tempered Riemann–Liouville Fractional Equations with Signed Measure and Sign-Changing Perturbations via Spectral Analysis
In this paper, we investigate the existence of positive solutions for a class of p-Laplacian tempered Riemann–Liouville fractional equations involving signed measures and sign-changing perturbations with Riemann–Stieltjes boundary conditions. By performing a spectral analysis of the associated linear operator and applying Gelfand’s formula, we establish several fundamental properties of the principal eigenvalue for the corresponding linear fractional-order differential equations. Furthermore, under suitable growth conditions on the nonlinear terms, we employ the fixed point index theory to derive new existence results for positive solutions of the proposed equations.
- Open Access
- 26 December 2025
- Published by MDPI AG in Mathematics
- Vol. 14 (1) , 100
The Eigenvalue Problem of a Singular Tempered Fractional Equation with the Riemann–Stieltjes Integral Boundary Condition
In this paper, we investigate the existence of positive solutions of the eigenvalue problem for a singular tempered fractional equation with a Riemann–Stieltjes integral boundary condition and signed measures. By establishing the Green function and its properties, an eigenvalue interval for the existence of positive solutions is outlined based on Schauder’s fixed-point theorem and the upper and lower solutions method. An interesting feature of this paper is that f may be singular in both the time and space variables, and the Riemann–Stieltjes integral may involve signed measures.
- 26 December 2025
- Published by MDPI AG in Mathematics
- Vol. 14 (1) , 100
Open AccessThe Eigenvalue Problem of a Singular Tempered Fractional Equation with the Riemann–Stieltjes Integral Boundary Condition
In this paper, we investigate the existence of positive solutions of the eigenvalue problem for a singular tempered fractional equation with a Riemann–Stieltjes integral boundary condition and signed measures. By establishing the Green function and its properties, an eigenvalue interval for the existence of positive solutions is outlined based on Schauder’s fixed-point theorem and the upper and lower solutions method. An interesting feature of this paper is that f may be singular in both the time and space variables, and the Riemann–Stieltjes integral may involve signed measures.