Title
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
Abstract
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.
Year
DOI
Venue
2019
10.1155/2019/9278056
COMPLEXITY
DocType
Volume
ISSN
Journal
2019.0
1076-2787
Citations 
PageRank 
References 
0
0.34
0
Authors
7
Name
Order
Citations
PageRank
Teng Ren100.34
Helu Xiao200.34
Zhongbao Zhou300.68
Xinguang Zhang416323.65
Lining Xing500.34
Zhongwei Wang600.34
Yujun Cui700.34