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
相关论文
共 50 条
  • [21] Structure Preserving Algorithm for Fractional Order Mathematical Model of COVID-19
    Iqbal, Zafar
    Rehman, Muhammad Aziz-ur
    Ahmed, Nauman
    Raza, Ali
    Rafiq, Muhammad
    Khan, Ilyas
    Nisar, Kottakkaran Sooppy
    CMC-COMPUTERS MATERIALS & CONTINUA, 2022, 71 (02): : 2141 - 2157
  • [22] A robust study of a piecewise fractional order COVID-19 mathematical model
    Zeb, Anwar
    Atangana, Abdon
    Khan, Zareen A.
    Djillali, Salih
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (07) : 5649 - 5665
  • [23] Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission
    Arshad, Sadia
    Siddique, Imran
    Nawaz, Fariha
    Shaheen, Aqila
    Khurshid, Hina
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 609
  • [24] A fractional order Covid-19 epidemic model with Mittag-Leffler kernel
    Khan, Hasib
    Ibrahim, Muhammad
    Abdel-Aty, Abdel-Haleem
    Khashan, M. Motawi
    Khan, Farhat Ali
    Khan, Aziz
    CHAOS SOLITONS & FRACTALS, 2021, 148
  • [25] Numerical analysis of COVID-19 model with constant fractional order and variable fractal dimension
    Alkahtani, Badr Saad T.
    Jain, Sonal
    RESULTS IN PHYSICS, 2021, 20
  • [26] Analysis and Dynamics of Fractional Order Mathematical Model of COVID-19 in Nigeria Using Atangana-Baleanu Operator
    Peter, Olumuyiwa J.
    Shaikh, Amjad S.
    Ibrahim, Mohammed O.
    Nisar, Kottakkaran Sooppy
    Baleanu, Dumitru
    Khan, Ilyas
    Abioye, Adesoye I.
    CMC-COMPUTERS MATERIALS & CONTINUA, 2021, 66 (02): : 1823 - 1848
  • [27] Numerical investigations on COVID-19 model through singular and non-singular fractional operators
    Kumar, Sunil
    Chauhan, R. P.
    Momani, Shaher
    Hadid, Samir
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (01)
  • [28] Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis
    Rubayyi T. Alqahtani
    Advances in Difference Equations, 2021
  • [29] Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis
    Alqahtani, Rubayyi T.
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [30] On study of fractional order epidemic model of COVID-19 under non-singular Mittag-Leffler kernel
    Alzaid, Sara Salem
    Alkahtani, Badr Saad T.
    RESULTS IN PHYSICS, 2021, 26
12345