Work

The Eigenvalue Problem of a Singular Tempered Fractional Equation with the Riemann–Stieltjes Integral Boundary Condition

Year: 2025

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math14010100

Authors: Xinguang Zhang, Hongchao Sun, Lishuang Li, Xiaoyu Bian, Yonghong Wu

Institutions: Yantai University, Curtin University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Australian Research Council