Investigation of a time-fractional COVID-19 mathematical model with singular kernel

被引：13

作者：

Adnan ^{[1
]}

Ali, Amir ^{[1
]}

Rahmamn, Mati Ur ^{[2
]}

Shah, Zahir ^{[3
]}

Kumam, Poom ^{[4
,5
]}

机构：

[1] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan

[2] Shanghai Jiao Tong Univ, Dept Math, 800 Dongchuan Rd, Shanghai, Peoples R China

[3] Univ Lakki Marwat, Dept Math Sci, Lakki Marwat 28420, Khyber Pakhtunk, Pakistan

[4] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Fixed Point Res Lab,Fixed Point Theory & Applicat, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2022年 / 2022卷 / 01期

关键词：

Mathematical model of COVID-19; Ulam-Hyers stability; Laplace-Adomian decomposition method; Homotopy perturbation method; Caputo fractional operator; HOMOTOPY-PERTURBATION METHOD; EPIDEMIC MODEL;

D O I：

10.1186/s13662-022-03701-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace-Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximate series solutions of the considered system. The existence and uniqueness solution of the system are presented by using the Banach fixed-point theorem. Ulam-Hyers-type stability is investigated for the proposed model. The obtained approximations are compared with numerical simulations of the proposed model as well as associated real data for numerous fractional-orders. The results reveal a good comparison between the numerical simulations versus approximations of the considered model. Further, one can see good agreements are obtained as compared to the classical integer order.

引用

页数：19

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