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Positive solutions to boundary value problems for higher order fractional differential equations with φ-Laplacian operator and parameters

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成果类型:
期刊论文、会议论文
作者:
Zhao, Yige;Yan, Rian;Han, Jing
通讯作者:
Zhao, YG
作者机构:
[Zhao, Yige; Han, Jing] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.
[Yan, Rian] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.
通讯机构:
[Zhao, YG ] U
Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.
语种:
英文
关键词:
Fractional boundary value problem;Positive solution;phi-Laplacian operator
期刊:
2024 24TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS, ICCAS 2024
ISSN:
2093-7121
年:
2024
页码:
1042-1047
会议名称:
2024 24th International Conference on Control, Automation and Systems (ICCAS)
会议论文集名称:
2024 24th International Conference on Control, Automation and Systems (ICCAS)
会议时间:
29 October 2024
会议地点:
Jeju, Korea, Republic of
会议主办单位:
[Zhao, Yige;Han, Jing] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China.^[Yan, Rian] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China.
出版地:
345 E 47TH ST, NEW YORK, NY 10017 USA
出版者:
IEEE
ISBN:
979-8-3315-1793-9
基金类别:
National Natural Science Foundation of China [12201199, 61703180]; Natural Science Foundation of the Department of Education of Hunan Province [2022JJ40021]; Educational Department of Hunan Province of China [21B0722]; Science and Technology Program of University of Jinan [1008399]
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
This paper investigates the existence of positive solutions to boundary value problems for nonlinear fractional differential equations with φ-Laplacian operator, which is fundamental to the study of control theory for such problems. Based on fixed point theorems, several new existence results for positive solutions, in terms of the value of parameters h1,h2,h3 are obtained. Finally, two examples are given to illustrate the main results.

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