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

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.

KEYWORDS:

• Atangana-Baleanu fractional operator
• bilingualism model
• fixed-point theorem
• iterative method