Existence and Multiplicity of Positive Mild Solutions for Nonlocal Fractional Variable Exponent Differential Equations with Concave and Convex Coefficients
Year: 2025
Type: article
Abstract: This paper aims to discuss the positive mild solutions for nonlocal fractional variable exponent differential equations with concave and convex coefficients. Based on a specifically defined order cone, even under the influence of the p(t)-Laplacian operator and the fractional integral operator, we avoid making many assumptions on the nonlocal coefficient A and just require that A>0 on a set of positive measures. Utilizing the fixed-point index theory on cones, some new results on the existence and multiplicity of positive mild solutions were obtained, which extend and enrich some previous research findings. Finally, numerical examples are used to verify the feasibility of our main results.
Source: Symmetry
DOI: 10.3390/sym17101705
Authors: Mengjiao Zhong, Tengfei Shen
Institution: Huaibei Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4415129799