Numerical solution of fractional model of HIV-1 infection in framework of different fractional derivatives
type: Item
instance of: scholarly article
title: Numerical solution of fractional model of HIV-1 infection in framework of different fractional derivatives
zbMATH Open document ID: 1469.92004
DOI: 10.1155/2021/6642957
author: Sara Salem Alzaid
author: Badr S. Alkahtani
author: Shivani Sharma
author: R. S. Dubey
published in: Journal of Function Spaces
publication date: 2021-05-17T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92-08
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7348603
zbMATH Keywords: HIV-1 infection model
zbMATH Keywords: fractional ordinary differential equation
zbMATH Keywords: Caputo-Fabrizio operator
zbMATH Keywords: Atangana-Baleanu operator
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6642957
OpenAlex ID: W3139533336
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description: scientific article; zbMATH DE number 7348603