Theoretical Analysis of HBV Infection Under Mittag-Leffler Derivative

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Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Natural Sciences Publishing

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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. © 2023 NSP Natural Sciences Publishing Cor.

Açıklama

Anahtar Kelimeler

fractional-order model, HBV infection, Hyres-Ulam stability, Krasnoselskii fixed point theorem

Kaynak

Progress in Fractional Differentiation and Applications

WoS Q Değeri

Scopus Q Değeri

Q2

Cilt

9

Sayı

1

Künye