The iterative scheme and the convergence analysis of unique solution for a singular fractional differential equation from the eco-economic complex system\'s co-evolution process - 成果

The iterative scheme and the convergence analysis of unique solution for a singular fractional differential equation from the eco-economic complex system's co-evolution process

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成果类型：

期刊论文

作者：

Ren, Teng;Xiao, Helu*;Zhou, Zhongbao;Zhang, Xinguang;Xing, Lining*;...

通讯作者：

Xing, Lining;Xiao, Helu

作者机构：

[Xing, Lining; Ren, Teng; Wang, Zhongwei] Cent South Univ Forestry & Technol, Sch Transportat & Logist, Changsha 410018, Hunan, Peoples R China.

[Xiao, Helu] Hunan Normal Univ, Business Sch, Changsha 410081, Hunan, Peoples R China.

[Zhou, Zhongbao] Hunan Univ, Sch Business Adm, Changsha 410082, Hunan, Peoples R China.

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

[Zhang, Xinguang] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China.

通讯机构：

[Xing, Lining] C

[Xiao, Helu] H

Cent South Univ Forestry & Technol, Sch Transportat & Logist, Changsha 410018, Hunan, Peoples R China.

Hunan Normal Univ, Business Sch, Changsha 410081, Hunan, Peoples R China.

语种：

英文

期刊：

Complexity

ISSN：

1076-2787

年：

2019

卷：

2019

页码：

9278056:1-9278056:15

DOI：

10.1155/2019/9278056

基金类别：

Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2019JJ50992, 2017JJ1012]; Project of Hunan Social Science Achievement Evaluation Committee in 2018 [XSP18YBZ087]; Hunan Forestry Science and Technology Project [XLK201826]; Youth Science Research Foundation Project of Central South Forestry University of Science and Technology [2017QZ001]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11571296, 71771082]; MOE (Ministry of Education in China) Humanity and Social Science Foundation [16YJC630101]; Youth Project of Hunan Provincial Philosophy and Social Science Foundation [15YBA407]

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

摘要：

In this paper, we focus on a class of singular fractional differential equation, which arises from many complex processes such as the phenomenon and diffusion interaction of the ecological-economic-social complex system. By means of the iterative technique, the uniqueness and nonexistence results of positive solutions are established under the condition concerning the spectral radius of the relevant linear operator. In addition, the iterative scheme that converges to the unique solution is constructed without request of any monotonicity, and th...

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The iterative scheme and the convergence analysis of unique solution for a singular fractional differential equation from the eco-economic complex system's co-evolution process

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