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

Sara Salem Alzaid | Zendy; Badr Saad T. Alkahtani | Zendy; Shivani Sharma | Zendy; Ravi Shanker Dubey | Zendy

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

Author(s) -

Sara Salem Alzaid,

Badr Saad T. Alkahtani,

Shivani Sharma,

Ravi Shanker Dubey

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6642957

Subject(s) - fractional calculus , uniqueness , mathematics , operator (biology) , derivative (finance) , human immunodeficiency virus (hiv) , mathematical analysis , calculus (dental) , medicine , biochemistry , chemistry , dentistry , family medicine , repressor , transcription factor , financial economics , economics , gene

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.

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