A New Caputo Fractional Differential Equation with Infinite-Point Boundary Conditions: Positive Solutions
Year: 2025
Type: article
Abstract: This paper mainly studies a different infinite-point Caputo fractional differential equation, whose nonlinear term may be singular. Under some conditions, we first use spectral analysis and fixed-point index theorem to explore the existence of positive solutions of the equation, and then use Banach fixed-point theorem to prove the uniqueness of positive solutions. Finally, an interesting example is used to explain the main result.
Source: Fractal and Fractional
Authors: Jing Ren, Zijuan Du, Chengbo Zhai
Institutions: Shanxi Normal University, Shanxi University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,258
OpenAlex ID: W4415775546