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

被引：19

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

页数：10

共 22 条

[1] Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits [J].

Alshabanat, Amal ;

Jleli, Mohamed ;

Kumar, Sunil ;

Samet, Bessem .

FRONTIERS IN PHYSICS, 2020, 8

[2] Dynamics of Ebola Disease in the Framework of Different Fractional Derivatives [J].

Altaf, Khan Muhammad ;

Atangana, Abdon .

ENTROPY, 2019, 21 (03)

[3]

[Anonymous], WHAT IS HIV

[4] NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].

Atangana, Abdon ;

Baleanu, Dumitru .

THERMAL SCIENCE, 2016, 20 (02) :763-769

[5] On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation [J].

Atangana, Abdon .

APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 :948-956

[6]

Aydi H, 2020, MEDITERR J MATH, V17, DOI 10.1007/s00009-019-1450-7

[7]

Caputo M, 2015, PROGR FRACT DIFF APP, V1, P73, DOI [DOI 10.12785/PFDA/010201, 10.12785/pfda/010201]

[8] RETRACTED: New two step Laplace Adam-Bashforth method for integer a noninteger order partial differential equations (Retracted article. See MAR, 2023) [J].

Gnitchogna, Rodrigue ;

Atangana, Abdon .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 34 (05) :1739-1758

[9] Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann-Liouville fractional integrals, and Atangana-Baleanu integral operators [J].

Hammad, Hasanen A. ;

Aydi, Hassen ;

Mlaiki, Nabil .

ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)

[10] Exciting Fixed Point Results on a Novel Space with Supportive Applications [J].

Hammad, Hasanen A. ;

Aydi, Hassen ;

Gaba, Yae Ulrich .

JOURNAL OF FUNCTION SPACES, 2021, 2021

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