Analysis and Dynamics of Illicit Drug Use Described by Fractional Derivative with Mittag-Leffler Kernel

Berat Karaagac; Kolade Matthew Owolabi; Kottakkaran Sooppy Nisar

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Analysis and Dynamics of Illicit Drug Use Described by Fractional Derivative with Mittag-Leffler Kernel

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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 numerical scheme based on the known Adams-Bashforth method is designed in fractional form to approximate the novel Atangana-Baleanu fractional operator of order 0

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《计算机、材料和连续体（英文）》 |2020年第12期|1905-1924|共20页
作者
Berat Karaagac; Kolade Matthew Owolabi; Kottakkaran Sooppy Nisar;
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作者单位

Faculty of Mathematics and Statistics;

Ton Duc Thang University;

Ho Chi Minh City;

Vietnam;

Department of Mathematics Education;

Faculty of Education;

Adıyaman University;

Adıyaman;

Turkey;

Department of Mathematical Sciences;

Federal University of Technology;

Akure;

Nigeria;

Department of Mathematics;

College of Arts and Sciences;

Wadi Aldawaser;

Prince Sattam Bin Abdulaziz University;

Al Kharj;

Saudi Arabia;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Atangana-Baleanu fractional operator; illicit drug use; existence and uniqueness of solutions; stability analysis;

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Analysis and Dynamics of Illicit Drug Use Described by Fractional Derivative with Mittag-Leffler Kernel

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