一个与分数阶微分方程相关的具有先导的意见形成模型的指数稳定性

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2022-10-26 DOI:10.1155/2022/3973157

Dussadee Somjaiwang, Parinya Sa Ngiamsunthorn

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引用次数: 0

摘要

研究了一类分数阶微分方程系统中有领导的意见形成模型的动力学问题。我们运用α -指数稳定性的概念和均衡的唯一性来表示follower与leader的一致性。得到了具有时变外部输入和不具有时变外部输入的分数阶地层模型一致性的充分条件。此外，还给出了数值结果来说明其动力特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exponential Stability for an Opinion Formation Model with a Leader Associated with Fractional Differential Equations

This paper studies the dynamics of an opinion formation model with a leader associated with a system of fractional differential equations. We applied the concept of α -exponential stability and the uniqueness of equilibrium to show the consensus of the followers with the leader. A sufficient condition for the consensus is obtained for both fractional formation models with and without time-dependent external inputs. Moreover, numerical results are provided to illustrate the dynamical behavior.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks