Maximum and minimum solutions for a nonlocal p-Laplacian fractional differential system from eco-economical processes

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成果类型：

期刊论文

作者：

Ren, Teng*;Li, Sidi;Zhang, Xinguang;Liu, Lishan

通讯作者：

Ren, Teng

作者机构：

[Ren, Teng] Cent South Univ Forestry & Technol, Sch Logist & Transportat, Changsha 410004, Hunan, Peoples R China.

[Li, Sidi] Cent South Univ Forestry & Technol, Sch Tourism Management, Changsha 410004, Hunan, Peoples R China.

[Zhang, Xinguang] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China.

[Zhang, Xinguang; Liu, Lishan] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia.

[Liu, Lishan] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China.

通讯机构：

[Ren, Teng] C

Cent South Univ Forestry & Technol, Sch Logist & Transportat, Changsha 410004, Hunan, Peoples R China.

语种：

英文

关键词：

maximum and minimum solutions;fractional differential system;p-Laplacian operator;nonlocal boundary value problem

期刊：

BOUNDARY VALUE PROBLEMS

ISSN：

1687-2770

年：

2017

卷：

2017

期：

页码：

1-15

DOI：

10.1186/s13661-017-0849-y

基金类别：

The first author and second author are partially supported by the Youth Project of MOE (Ministry of Education in China) Humanity and Social Science Foundation (16YJC630101), the Youth Project of Hunan Provincial Philosophy and Social Science Foundation (15YBA407), the Foundation of the Excellent Youth Scholars of Hunan Provincial Department of Education (14B188) and the Project of Hunan Provincial Situation Decision-making Consultation (16JCC009). The third author and fourth author are partially supported financially by the National Natural Science Foundation of China (11571296,11371221) and the Natural Science Foundation of Shandong Province of China (ZR2014AM009).

机构署名：

本校为第一且通讯机构

院系归属：

交通运输与物流学院

旅游学院

摘要：

This paper focuses on the maximum and minimum solutions for a fractional order differential system, involving a p-Laplacian operator and nonlocal boundary conditions, which arises from many complex processes such as ecological economy phenomena and diffusive interaction. By introducing new type growth conditions and using the monotone iterative technique, some new results about the existence of maximal and minimal solutions for a fractional order differential system is established, and the estimation of the lower and upper bounds of the maximum...

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Maximum and minimum solutions for a nonlocal p-Laplacian fractional differential system from eco-economical processes

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