New bilingualism model based on fractional operators with Mittag-Leffler kernel

IF 1.3 4区社会学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematical Sociology Pub Date : 2017-07-03 DOI:10.1080/0022250X.2017.1356828

J. Gómez-Aguilar

引用次数: 9

Abstract

ABSTRACT A model of one unilingual component and one bilingual component of a population is studied using fractional derivatives with Mittag-Leffler kernel in Liouville-Caputo sense. Numerical simulations were obtained using iterative schemes. We studied in detail the existence and uniqueness of the solutions. Numerical simulations for different values of the fractional order were obtained.

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基于Mittag-Leffler核分数算子的双语新模型

摘要利用分数阶导数和Mittag-Leffler核在Liouville-Caputo意义上研究了一个种群的单语成分和双语成分模型。采用迭代格式进行了数值模拟。我们详细地研究了解的存在唯一性。对不同分数阶数值进行了数值模拟。

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

Journal of Mathematical Sociology 数学-数学跨学科应用

CiteScore

2.90

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The goal of the Journal of Mathematical Sociology is to publish models and mathematical techniques that would likely be useful to professional sociologists. The Journal also welcomes papers of mutual interest to social scientists and other social and behavioral scientists, as well as papers by non-social scientists that may encourage fruitful connections between sociology and other disciplines. Reviews of new or developing areas of mathematics and mathematical modeling that may have significant applications in sociology will also be considered. The Journal of Mathematical Sociology is published in association with the International Network for Social Network Analysis, the Japanese Association for Mathematical Sociology, the Mathematical Sociology Section of the American Sociological Association, and the Methodology Section of the American Sociological Association.