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

DOI10.1080/0022250X.2017.1356828zbMath1417.91425OpenAlexW2756055834MaRDI QIDQ4963388

José Francisco Gómez-Aguilar

Publication date: 2 November 2018

Published in: The Journal of Mathematical Sociology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0022250x.2017.1356828

zbMATH Keywords

iterative methodfixed-point theoremAtangana-Baleanu fractional operatorbilingualism model

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Linguistics (91F20)

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Cites Work

• What is a fractional derivative?
• Fractional order bilingualism model without conversion from dominant unilingual group to bilingual group
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Chua's circuit model with Atangana-Baleanu derivative with fractional order
• A fractional order model on bilingualism
• On the new fractional derivative and application to nonlinear Baggs and Freedman model
• The Future of Bilingualism: An Application of the Baggs and Freedman Model
• A mathematical model for the dynamics of interactions between a unilingual and a bilingual population: Persistence versus extinction

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