The Eigenvalue Problem of a Singular Tempered Fractional Equation with the Riemann–Stieltjes Integral Boundary Condition
Open Access
- 26 December 2025
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 14 (1) , 100
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.Keywords
Funding Information
- Natural Science Foundation of Shandong Province of China (ZR2022AM015)
- Australian Research Council (DP1801040950)
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