On the stability and numerical scheme of fractional differential equations with application to biology

K Hattaf - Computation, 2022 - mdpi.com
The fractional differential equations involving different types of fractional derivatives are
currently used in many fields of science and engineering. Therefore, the first purpose of this …

A new class of generalized fractal and fractal-fractional derivatives with non-singular kernels

K Hattaf - Fractal and Fractional, 2023 - mdpi.com
The present paper introduces a new class of generalized differential and integral operators.
This class includes and generalizes a large number of definitions of fractal-fractional …

Fractional-calculus analysis of human immunodeficiency virus and CD4+ T-cells with control interventions

R Jan, S Boulaaras, SAA Shah - Communications in Theoretical …, 2022 - iopscience.iop.org
It is undeniable that HIV infection has been a censorious public health concern over the past
four decades. It is reported that HIV is the main reason for AIDs which has decimated the …

Stability analysis of fuzzy HTLV-I infection model: a dynamic approach

S Bera, S Khajanchi, TK Roy - Journal of Applied Mathematics and …, 2023 - Springer
This paper deals with a mathematical model for HTLV-I infection by considering the role of
imprecise essence of the biological parameters. The considered imprecise biologically …

A new mixed fractional derivative with applications in computational biology

K Hattaf - Computation, 2024 - mdpi.com
This study develops a new definition of a fractional derivative that mixes the definitions of
fractional derivatives with singular and non-singular kernels. This developed definition …

Mathematical model and analysis of corruption dynamics with optimal control

AK Fantaye, ZK Birhanu - Journal of Applied Mathematics, 2022 - Wiley Online Library
In this study, a deterministic mathematical model that explains the transmission dynamics of
corruption is proposed and analyzed by considering social influence on honest individuals …

New Variant of SARS‐CoV‐2 Dynamics with Imperfect Vaccine

TS Faniran, A Ali, NE Al-Hazmi, JKK Asamoah… - …, 2022 - Wiley Online Library
The occurrence of a new strain of SARS‐CoV‐2 cannot be ruled out. Therefore, this study
seeks to investigate the possible effects of a hypothetical imperfect anti‐COVID‐19 vaccine …

Dynamic behavior of a general stochastic HIV model with virus-to-cell infection, cell-to-cell transmission, immune response and distributed delays

Y Wang, M Lu, D Jiang - Journal of Nonlinear Science, 2023 - Springer
In this paper, we construct a general four-dimensional delayed HIV infection model with
virus-to-cell infection, cell-to-cell transmission, CTL immune response and parameter …

Photothermal-induced interactions in a semiconductor solid with a cylindrical gap due to laser pulse duration using a fractional MGT heat conduction model

AE Abouelregal, HM Sedighi, SF Megahid - Archive of Applied Mechanics, 2023 - Springer
Optical and photo-thermal effects have emerged in many fields, including thermal
characterization, spectroscopy, transportation, and non-destructive examinations. In this …

[HTML][HTML] Dynamical analysis of a nonlinear fractional cervical cancer epidemic model with the nonstandard finite difference method

AR Butt, AA Saqib, AS Alshomrani, A Bakar… - Ain Shams Engineering …, 2024 - Elsevier
In this paper, we analyze the fractional compartmental model in the sense of Caputo
derivative for the dynamics of the novel human papillomavirus, which causes cervical …