A NEW CLASS OF GLOBAL FRACTIONAL-ORDER PROJECTIVE DYNAMICAL SYSTEM WITH AN APPLICATION

被引：5
|
作者：
Wu, Zeng-Bao [1 ]
Zou, Yun-Zhi [2 ]
Huang, Nan-Jing [2 ]
机构：
[1] Luoyang Normal Univ, Dept Math, Luoyang 471934, Henan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2020年 / 16卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Fractional-order projective dynamical system; delay; perturbation; Krasnoselskii fixed point theorem; approximating algorithm; DIFFERENTIAL-EQUATIONS; STABILITY; DELAY; UNIQUENESS; EXISTENCE; BEHAVIOR;
D O I：
10.3934/jimo.2018139
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, some existence and uniqueness of solutions for a new class of global fractional-order projective dynamical system with delay and perturbation are proved by employing the Krasnoselskii fixed point theorem and the Banach fixed point theorem. Moreover, an approximating algorithm is also provided to find a solution of the global fractional-order projective dynamical system. Finally, an application to the idealized traveler information systems for day-to-day adjustments processes and a numerical example are given.
引用
收藏
页码：37 / 53
页数：17
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