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The Journal of Mathematical Sociology Volume 41, 2017 - Issue 3
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Original Articles

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

J. F. Gomez-AguilarCONACyT-Tecnologico Nacional de Mexico/CENIDET, Cuernavaca, Morelos, MexicoCorrespondence[email protected]
Pages 172-184 | Received 07 Jul 2016, Accepted 14 Jul 2017, Published online: 18 Sep 2017
 
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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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