Berat Karaagac1, 2, Kolade Matthew Owolabi1, 3, *, Kottakkaran Sooppy Nisar4
CMC-Computers, Materials & Continua, Vol.65, No.3, pp. 1905-1924, 2020, DOI:10.32604/cmc.2020.011623
Abstract Illicit drug use is a significant problem that causes great material and moral
losses and threatens the future of the society. For this reason, illicit drug use and related
crimes are the most significant criminal cases examined by scientists. This paper aims at
modeling the illegal drug use using the Atangana-Baleanu fractional derivative with
Mittag-Leffler kernel. Also, in this work, the existence and uniqueness of solutions of the
fractional-order Illicit drug use model are discussed via Picard-Lindelöf theorem which
provides successive approximations using a convergent sequence. Then the stability
analysis for both disease-free and endemic equilibrium states is conducted. A… More >
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