On the Mittag-Leffler Stability of Impulsive Fractional Solow-Type Models

被引：1
|
作者：
Stamova, Ivanka M. [1 ]
Stamov, Gani Tr. [1 ]
机构：
[1] Univ Texas San Antonio, Dept Math, One UTSA Circle, San Antonio, TX 78249 USA
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2017年 / 18卷 / 05期
关键词：
Solow-type models; fractional derivatives; impulsive control; stability; DIFFERENTIAL-EQUATIONS; FINANCIAL-SYSTEM; GROWTH; EXISTENCE; ORDER; SYNCHRONIZATION; POPULATION; DYNAMICS; DELAY;
D O I：
10.1515/ijnsns-2016-0027
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, we introduce fractional-order Solow-type models as a new tool for modeling and analysis in mathematical finance. Sufficient conditions for the Mittag-Leffler stability of their states are derived. The main advantages of the proposed approach are using of fractional-order derivatives, whose nonlocal property makes the fractional calculus a suitable tool for modeling actual financial systems as well as using of impulsive perturbations which give an opportunity to control the dynamic behavior of the model. The modeling approach proposed in this article can be applied to investigate macroeconomic systems.
引用
收藏
页码：315 / 325
页数：11
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