NUMERICAL AND THEORETICAL ANALYSIS OF AN AWARENESS COVID-19 EPIDEMIC MODEL VIA GENERALIZED ATANGANA-BALEANU FRACTIONAL DERIVATIVE

被引：7

作者：

Baba, Isa Abdullahi ^{[1
]}

Ahmed, Idris ^{[2
]}

Al-Mdallal, Qasem M. ^{[3
]}

Jarad, Fahd ^{[4
]}

Yunusa, Salisu ^{[5
]}

机构：

[1] Bayero Univ Kano, Dept Math Sci, Kano, Nigeria

[2] Sule Lamido Univ, Dept Math, Kafin Hausa, Jigawa State, Nigeria

[3] United Arab Emirates Univ, Dept Math Sci, Abu Dhabi, U Arab Emirates

[4] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

[5] Univ Putra Malaysia, Dept Counsellor Educ & Counselling Psychol, Serdang, Malaysia

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2022年 / 21卷 / 01期

关键词：

existence and uniqueness; generalized ABC fractional derivative; fixed point theorems; numerical simulations;

D O I：

10.17512/jamcm.2022.1.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a COVID-19 Awareness model in the setting of a generalized fractional Atangana-Baleanu derivative is proposed. The existence and uniqueness of a solution of the proposed fractional-order model are investigated under the techniques of fixed point theorems. In addition, we perform the predictor-corrector method to find its numeric solutions and present the graphs of the various solutions using different values of the parameters embodied in the derivative.

引用

页码：7 / 18

页数：12

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