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
Joint Authors
Zhou, Zhongbao
Ren, Teng
Xiao, Helu
Xing, Lining
Wang, Zhongwei
Cui, Yujun
Zhang, Xinguang
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-09-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 the convergence analysis and error estimate of unique solution are obtained.
The numerical example and simulation are also given to demonstrate the application of the main results and the effectiveness of iterative process.
American Psychological Association (APA)
Ren, Teng& Xiao, Helu& Zhou, Zhongbao& Zhang, Xinguang& Xing, Lining& Wang, Zhongwei…[et al.]. 2019. 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. Complexity،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1133184
Modern Language Association (MLA)
Ren, Teng…[et al.]. 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. Complexity No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1133184
American Medical Association (AMA)
Ren, Teng& Xiao, Helu& Zhou, Zhongbao& Zhang, Xinguang& Xing, Lining& Wang, Zhongwei…[et al.]. 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. Complexity. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1133184
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133184