"Theoretical Analysis of HBV Infection Under Mittag-Leffler Derivative" by Shabir Ahmad, Aman Ullah et al.

Progress in Fractional Differentiation & Applications

Article Title

Theoretical Analysis of HBV Infection Under Mittag-Leffler Derivative

Authors

Shabir Ahmad, Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanFollow
Aman Ullah, Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, PakistanFollow
Ali Akgu ̈l, Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, TurkeyFollow
Hilal Al Bayatti, College of Computer Sciences, Applied Science University, P.O. Box 5055, Kingdom of BahrainFollow

Author Country (or Countries)

Pakistan

Abstract

The theoretical study of fractional calculus has grown significantly during the last few years. For the theoretical analysis of fractional differential equations, primarily two methods were employed. One is the fixed point approach, which determines whether a solution exists, and the other is the functional analysis approach, which determines whether a solution is stable. This study investigates the theoretical features of HBV infection under a fractional operator with a nonsingular and nonlocal kernel. We examine the existence and uniqueness of the model’s results using the fixed point theorems of Banach and Krasnoselskii. According to the Hyres-Ulam stability studies, the HBV model’s solution is stable under the Atangana-Baleanu derivative.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090107

Recommended Citation

Ahmad, Shabir; Ullah, Aman; Akgu ̈l, Ali; and Al Bayatti, Hilal (2023) "Theoretical Analysis of HBV Infection Under Mittag-Leffler Derivative," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 1, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/090107
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss1/7

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