Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives

被引：17
|
作者：
Alzaid, Sara Salem [1 ]
Alkahtani, Badr Saad T. [2 ]
Sharma, Shivani [3 ]
Dubey, Ravi Shanker [3 ]
机构：
[1] King Saud Univ, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
[2] King Saud Univ, Coll Sci, Math Dept, POB 1142, Riyadh 11989, Saudi Arabia
[3] AMITY Univ, AMITY Sch Appl Sci, Dept Math, Jaipur 302002, Rajasthan, India
来源：
JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷
关键词：
D O I：
10.1155/2021/6642957
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have extended the model of HIV-1 infection to the fractional mathematical model using Caputo-Fabrizio and Atangana-Baleanu fractional derivative operators. A detailed proof for the existence and the uniqueness of the solution of fractional mathematical model of HIV-1 infection in Atangana-Baleanu sense is presented. Numerical approach is used to find and study the behavior of the solution of the stated model using different derivative operators, and the graphical comparison between the solutions obtained for the Caputo-Fabrizio and the Atangana-Baleanu operator is presented to see which fractional derivative operator is more efficient.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Numerical Solution of Fractional Optimal Control
    Wen Li
    Song Wang
    Volker Rehbock
    Journal of Optimization Theory and Applications, 2019, 180 : 556 - 573
  • [42] Numerical Solution of Fractional Benney Equation
    Akinlar, Mehmet Ali
    Secer, Aydin
    Bayram, Mustafa
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (04): : 1633 - 1637
  • [43] Numerical solution of fractional oscillator equation
    Blaszczyk, T.
    Ciesielski, M.
    Klimek, M.
    Leszczynski, J.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (06) : 2480 - 2488
  • [44] Numerical Solution of Fractional Optimal Control
    Li, Wen
    Wang, Song
    Rehbock, Volker
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 180 (02) : 556 - 573
  • [45] Numerical solution for the fractional replicator equation
    Ahmed, E
    El-Sayed, AMA
    El-Mesiry, AEM
    El-Saka, HAA
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2005, 16 (07): : 1017 - 1025
  • [46] Numerical Solution of Fractional Control Problems via Fractional Differential Transformation
    Rebenda, Josef
    Smarda, Zdenek
    2017 EUROPEAN CONFERENCE ON ELECTRICAL ENGINEERING AND COMPUTER SCIENCE (EECS), 2017, : 107 - 111
  • [47] FRACTIONAL-ORDER DERIVATIVES AND THE NUMERICAL-SOLUTION OF CERTAIN CONVOLUTION EQUATIONS
    ZHELUDEV, VA
    DIFFERENTIAL EQUATIONS, 1982, 18 (11) : 1404 - 1413
  • [48] Numerical solution of fractional differential equations using fractional Chebyshev polynomials
    Ozturk, Yalcin
    Unal, Mutlu
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (03)
  • [49] Numerical solution of ordinary fractional differential equations by the fractional difference method
    Podlubny, I
    ADVANCES IN DIFFERENCE EQUATIONS-BOOK, 1997, : 507 - 515
  • [50] Numerical solution of a fractional order model of HIV infection of CD4+T cells using Müntz-Legendre polynomials
    Department of Mathematics, Isfahan Branch, Islamic Azad University, Isfahan, Iran
    Int. J. Bioautomotion, 2 (193-204):
12345