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Existence results for coupled nonlinear fractional differential equations with coupled strip and infinite point boundary conditions

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成果类型:
期刊论文
作者:
Yan, Rian;Ma, Qiang;Ding, Xiaohua
通讯作者:
Ma, Q.
作者机构:
[Ma, Qiang; Ding, Xiaohua] Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai, 264209, China
School of Mathematics and Computational Science, Hunan City University, Yiyang, 413000, China
[Yan, Rian] Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai, 264209, China, School of Mathematics and Computational Science, Hunan City University, Yiyang, 413000, China
通讯机构:
[Ma, Q.] D
Department of Mathematics, China
语种:
英文
关键词:
Boundary value problem;Fixed-point theorem;Fractional differential equation
期刊:
FIXED POINT THEORY
ISSN:
1583-5022
年:
2021
卷:
22
期:
2
页码:
913-931
基金类别:
Acknowledgment. This work is supported by the Natural Science Foundation of Shandong Province of China (No.ZR2020MA050), the National Natural Science Foundation of China (No.11501150) and the Key Project of Science and Technology of Weihai of China (No.2014DXGJ14).
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
In this paper, we investigate a class of nonlinear fractional differential system supple-mented with coupled strip and infinite point boundary conditions. Existence results for the given problem are obtained by using the Banach’s fixed point theorem and the ‖ · ‖e norm. The Lips-chitz type conditions on nonlinearities are needed and it seems that the continuity assumptions used previously are not sufficient. The proposed problem is of quite a general nature as it covers several special cases. Finally, we present an example to illustrate our main r...

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