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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:
会议论文
作者:
Yige Zhao;Rian Yan;Jing Han
作者机构:
[Rian Yan] School of Mathematics and Computer Science, Hunan City University, Yiyang, P. R. China
[Yige Zhao; Jing Han] School of Mathematical Sciences, University of Jinan, Jinan, P. R. China
语种:
英文
关键词:
Fractional boundary value problem;Positive solution;φ-Laplacian operator
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
出版者:
IEEE
ISBN:
979-8-3315-1793-9
基金类别:
10.13039/501100001809-National Natural Science Foundation of China 10.13039/501100004023-University of Jinan
机构署名:
本校为第一机构
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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