Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives-Reference-Cited by-同舟云学术

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

Published:2021-03-19 Issue: Volume:2021 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Alzaid Sara Salem¹,Alkahtani Badr Saad T.²,Sharma Shivani³,Dubey Ravi Shanker³^ORCID

Affiliation:

1. Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. Mathematics Department, College of Science, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi Arabia

3. Department of Mathematics, AMITY School of Applied Science, AMITY University Rajasthan, Jaipur 302002, India

Abstract

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.

Funder

Deanship of Scientific Research, King Saud University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6642957.pdf

Reference22 articles.

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2. An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy

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