{"title":"New bilingualism model based on fractional operators with Mittag-Leffler kernel","authors":"J. Gómez-Aguilar","doi":"10.1080/0022250X.2017.1356828","DOIUrl":null,"url":null,"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.","PeriodicalId":50139,"journal":{"name":"Journal of Mathematical Sociology","volume":"41 1","pages":"172 - 184"},"PeriodicalIF":1.3000,"publicationDate":"2017-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/0022250X.2017.1356828","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Sociology","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/0022250X.2017.1356828","RegionNum":4,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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.
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.
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