Nabla分数差分技术裁员模型的数学研究

IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Kottakkaran Sooppy Nisar, Ravichandran Chokkalingam, Sabarinathan Sriramulu, Selvam Arunachalam
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引用次数: 0

摘要

基于Caputo意义上的Atangana-Baleanu,利用nabla差分分数阶导数分析技术裁员模型的数值解及其稳定性。在本文的分析部分,我们将提出一个新的纳布拉分数差公式,它可以用于获得稳定性结果。首先,我们建立了技术人员裁员模型,并对问题进行了描述。其次,利用不动点技术对给定模型进行存在性和唯一性分析。我们发现投影模型是一个唯一的解,它符合Ulam-Hyers稳定条件的稳定状态。此外,我们采用一种基于序列近似解的数值方案来模拟所提出的模型,采用迭代技术。最后,通过数值模拟对理论研究进行了验证。这些结果清楚地证明了纳布拉差分分数阶导数对模型行为的显著影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical Study of Nabla Fractional Difference Tech Layoff Model

This research aims to analyze the numerical solution and stability of the tech layoff model using the nabla difference fractional order derivative based on the Atangana–Baleanu in Caputo sense. In the analytical section of this article, we will present a novel formula for nabla fractional differences, which can be useful for obtaining stability results. Firstly, we formulate the tech layoff model and describe the problem. Secondly, we establish both the existence and uniqueness analysis by employing fixed-point techniques for the given model. We find that the projected model exists as a unique solution that adheres to the stability state of Ulam–Hyers stability conditions. Additionally, we apply a numerical scheme based on an approximate solution in a series to simulate the proposed model, employing an iterative technique. Finally, we present numerical simulations to corroborate the theoretical study. These results clearly demonstrate the notably impactful effect of the nabla difference fractional order derivative on the model behavior.

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来源期刊
CiteScore
4.00
自引率
5.90%
发文量
122
审稿时长
>12 weeks
期刊介绍: The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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