Finite-time extinction of a fractional rumor model

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2024-08-16 DOI:10.1002/mma.10414

Xiaohuan Wang, Xinyao Wang, Wanli Yang

引用次数: 0

Abstract

Rumors often exist in real life. If rumors are not controlled, they usually do not disappear for a limited time. Meanwhile, everyone has memories and time-fractional derivative can describe the memories. Thus, in this paper, a new time-fractional rumor model is introduced, and moreover, the finite time extinction of rumor is obtained under a distributed controller is added. What's more, both the ordinary differential equations model and partial differential equations model are studied. Numerical examples verify our results.

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现实生活中常常存在谣言。如果不加以控制，谣言通常不会在有限的时间内消失。同时，每个人都有记忆，而时间分数导数可以描述记忆。因此，本文引入了一个新的时分式谣言模型，并在此基础上加入了分布式控制器，从而获得了谣言的有限时间消除。此外，本文还研究了常微分方程模型和偏微分方程模型。数值实例验证了我们的结果。

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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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.