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

被引：0
|
作者：
Pratibha Verma
Surabhi Tiwari
Akanksha Verma
机构：
[1] Siksha ‘O’ Anusandhan (Deemed to be University),Faculty of Engineering & Technology
[2] Motilal Nehru National Institute of Technology Allahabad,Department of Mathematics
[3] Kalasalingam Academy of Research and Education,Department of Mathematics, School of Advanced Sciences
来源：
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences | 2023年 / 93卷
关键词：
Novel coronavirus; Caputo fractional derivative; Fixed point theorem; Positive solutions; Existence and uniqueness; Hyers-Ulam stability; Runge-kutta method; Euler method; 35R11; 34A08; 47F05;
D O I：
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中图分类号：
学科分类号：
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.
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页码：219 / 232
页数：13
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