Theoretical and Numerical Analysis of Fractional Order Mathematical Model on Recent COVID-19 Model Using Singular Kernel

被引：1
|
作者：
Verma, Pratibha [1 ]
Tiwari, Surabhi [2 ]
Verma, Akanksha [3 ]
机构：
[1] Siksha OAnusandhan Deemed be Univ, Fac Engn & Technol, Bhubaneswar 751030, Orissa, India
[2] Motilal Nehru Natl Inst Technol Allahabad, Dept Math, Prayagraj 211004, Uttar Pradesh, India
[3] Kalasalingam Acad Res & Educ, Sch Adv Sci, Dept Math, Krishnankoil 626128, Tamil Nadu, India
来源：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2023年 / 93卷 / 02期
关键词：
Novel coronavirus; Caputo fractional derivative; Fixed point theorem; Positive solutions; Existence and uniqueness; Hyers-Ulam stability; Runge-kutta method; Euler method;
D O I：
10.1007/s40010-022-00805-9
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This study presents a fractional-order mathematical model of coronavirus. We select COVID-19 model and convert the model into fractional order. Discuss its theoretical and numerical analysis. Firstly, we investigate the existence and uniqueness results using some fixed point theorems for the proposed fractional-order COVID-19 model. Further, we provide the stability analysis with the help of the Hyers-Ulam stability. The fractional operator is used in the Caputo sense. We obtain numerical solutions using famous numerical methods and provide a graphical interpretation using adopted numerical methods. Finally, we compare the above techniques and provide observations according to the obtained solutions.
引用
收藏
页码：219 / 232
页数：14
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