分数阶微分方程边值问题正解存在性

doi:10.13371/j.cnki.chin.q.j.m.2026.03.007

数学季刊 ›› 2026, Vol. 41 ›› Issue (3): 323-330.doi: 10.13371/j.cnki.chin.q.j.m.2026.03.007

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分数阶微分方程边值问题正解存在性

College of Mathematics and Statistics, Hefei Normal University, Hefei 230061, China

收稿日期:2022-06-09 出版日期:2026-09-30 发布日期:2026-09-18
作者简介: SHEN Chun-fang (1982-), female, Nanyang, Henan, professor of Hefei Normal University, engages in ordinary differential equations.
基金资助:
Supported by the Excellent Scientific Research and Innovation Team of Anhui Educational Committee (Grant No. 2024AH010025) and the Higher School Natural Science Project of Anhui Province (Grant Nos. 2022AH052162 and 2023AH051320) .

Existence Results of Positive Solutions of a Boundary Value Problem for Fractional Differential Equation

College of Mathematics and Statistics, Hefei Normal University, Hefei 230061, China

Received:2022-06-09 Online:2026-09-30 Published:2026-09-18
About author: SHEN Chun-fang (1982-), female, Nanyang, Henan, professor of Hefei Normal University, engages in ordinary differential equations.
Supported by:
Supported by the Excellent Scientific Research and Innovation Team of Anhui Educational Committee (Grant No. 2024AH010025) and the Higher School Natural Science Project of Anhui Province (Grant Nos. 2022AH052162 and 2023AH051320) .

摘要/Abstract

摘要： In this paper, we investigate positive solutions for a class of boundary value problem of nonlinear differential equation with fractional order derivative. We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results.

关键词: Positive solution, Fractional differential equation, Fixed point, Cone

Abstract: In this paper, we investigate positive solutions for a class of boundary value problem of nonlinear differential equation with fractional order derivative. We give sufficient conditions on nonlinear term and the parameter such that the boundary value problem has no positive solutions. Some examples are presented to illustrate the main results.

Key words: Positive solution, Fractional differential equation, Fixed point, Cone

中图分类号:

O175 .8

沈春芳. 分数阶微分方程边值问题正解存在性[J]. 数学季刊, 2026, 41(3): 323-330.

SHEN Chun-fang. Existence Results of Positive Solutions of a Boundary Value Problem for Fractional Differential Equation[J]. Chinese Quarterly Journal of Mathematics, 2026, 41(3): 323-330.

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分数阶微分方程边值问题正解存在性

Existence Results of Positive Solutions of a Boundary Value Problem for Fractional Differential Equation

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