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Positive Solutions for Periodic Boundary Value Problems of Fractional Differential Equations with Sign-Changing Nonlinearity and Green’s Function

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成果类型:
期刊论文
作者:
Yan, Rian;Zhao, Yige
通讯作者:
Yan, R;Zhao, YG
作者机构:
[Yan, Rian] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.
[Zhao, Yige] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.
通讯机构:
[Zhao, YG ] U
[Yan, R ] H
Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.
Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.
语种:
英文
关键词:
fractional differential equation;sign-changing;periodic boundary condition;fixed-point theorem
期刊:
Axioms
ISSN:
2075-1680
年:
2023
卷:
12
期:
9
页码:
819-
基金类别:
Conceptualization, R.Y. and Y.Z.; methodology, R.Y.; validation, R.Y. and Y.Z.; formal analysis, R.Y. and Y.Z.; investigation, R.Y. and Y.Z.; writing—original draft preparation, R.Y.; writing—review and editing, Y.Z.; funding acquisition, R.Y. and Y.Z. All authors have read and agreed to the published version of the manuscript. This research was funded by National Natural Science Foundation of China (12201199, 61703180), the Natural Science Foundation of the Department of Education of Hunan Province (2022JJ40021), the Educational Department of Hunan Province of China (21B0722), and Science and Technology Program of University of Jinan (1008399).
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. Although the nonlinearity of the equation and the Green's function are sign-changing, the results of the existence and nonexistence of positive solutions are obtained by using the Schaefer's fixed-point theorem. Finally, two examples a...

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