<abstract xmlns="http://www.w3.org/1999/xhtml">Infectious diseases have caused the death of many people throughout the world for centuries. For this purpose, many researchers have investigated these diseases for establishing new treatment and protective measures. The most important of these is HIV disease. In this study, an HIV infection model of <italic>CD</italic>4+<italic>T</italic> cells is handled comprehensively with the newly defined Atangana-Baleanu (AB) fractional derivative. The existence and uniqueness of the solutions for fractionalized HIV disease model with the new derivative by considering the Arzela-Ascoli theorem.</abstract>

Infectious diseases have caused the death of many people throughout the world for centuries. For this purpose, many researchers have investigated these diseases for establishing new treatment and protective measures. The most important of these is HIV disease. In this study, an HIV infection model of CD4+T cells is handled comprehensively with the newly defined Atangana-Baleanu (AB) fractional derivative. The existence and uniqueness of the solutions for fractionalized HIV disease model with the new derivative by considering the Arzela-Ascoli theorem.

System Analysis of HIV Infection Model with <italic>CD</italic>4+<italic>T</italic> under Non-Singular Kernel Derivative

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

System Analysis of HIV Infection Model with 4 under Non-Singular Kernel Derivative


Infectious diseases have caused the death of many people throughout the world for centuries. For this purpose, many researchers have investigated these...

System Analysis of HIV Infection Model with CD4⁺T under Non-Singular Kernel Derivative

Published Online: Mar 31, 2020

Page range: 139 - 146

Received: Jul 16, 2019

Accepted: Jul 20, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00013

Keywords
Atangana-Baleanu (AB) derivative, HIV infection model, Arzela-Ascoli theorem, existence and uniqueness

© 2019 Fırat Evirgen et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

System Analysis of HIV Infection Model with CD4+T under Non-Singular Kernel Derivative

Published Online: Mar 31, 2020

Page range: 139 - 146

Received: Jul 16, 2019

Accepted: Jul 20, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00013

KeywordsAtangana-Baleanu (AB) derivative, HIV infection model, Arzela-Ascoli theorem, existence and uniqueness

© 2019 Fırat Evirgen et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

System Analysis of HIV Infection Model with CD4⁺T under Non-Singular Kernel Derivative

Keywords
Atangana-Baleanu (AB) derivative, HIV infection model, Arzela-Ascoli theorem, existence and uniqueness