Parameters Estimation and Stability Analysis of Nonlinear Fractional-Order Economic System Based on Empirical Data
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is devoted to propose a novel method for studying the macroeconomic system with fractional derivative, which can depict the memory property of actual data of economic variables.
First of all, we construct a constrained optimal problem to evaluate the coefficients of nonlinear fractional financial system based on empirical data and design the corresponding genetic algorithm.
Then, based on the stability criteria of fractional dynamical systems, the methodology of stability analysis is proposed to investigate the stability of the estimated nonlinear fractional dynamic system.
Finally, our method is applied to discuss the macroeconomic system of the US, Australia, and UK to demonstrate its effectiveness and applicability.
American Psychological Association (APA)
He, Lei& Wang, Xiong. 2014. Parameters Estimation and Stability Analysis of Nonlinear Fractional-Order Economic System Based on Empirical Data. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013309
Modern Language Association (MLA)
He, Lei& Wang, Xiong. Parameters Estimation and Stability Analysis of Nonlinear Fractional-Order Economic System Based on Empirical Data. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013309
American Medical Association (AMA)
He, Lei& Wang, Xiong. Parameters Estimation and Stability Analysis of Nonlinear Fractional-Order Economic System Based on Empirical Data. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013309
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013309