A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control

H Mohammadi, S Kumar, S Rezapour… - Chaos, Solitons & …, 2021 - Elsevier
Mumps is the most common cause of acquired unilateral deafness in children, in which
hearing loss occurs at all auditory frequencies. We use a box model to model hearing loss in …

Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version

S Etemad, I Avci, P Kumar, D Baleanu… - Chaos, Solitons & …, 2022 - Elsevier
In this paper, we formulate a new model of a particular type of influenza virus called
AH1N1/09 in the framework of the four classes consisting of susceptible, exposed, infectious …

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

B Ghanbari, S Kumar, R Kumar - Chaos, Solitons & Fractals, 2020 - Elsevier
Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …

Analysis of the model of HIV-1 infection of T-cell with a new approach of fractional derivative

D Baleanu, H Mohammadi, S Rezapour - Advances in Difference …, 2020 - Springer
By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the
mathematical model of HIV. In this way, we review the existence and uniqueness of the …

An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator

S Kumar, S Ghosh, B Samet… - Mathematical Methods in …, 2020 - Wiley Online Library
The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …

A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force

S Kumar, KS Nisar, R Kumar… - … Methods in the …, 2020 - Wiley Online Library
This work suggested a new generalized fractional derivative which is producing different
kinds of singular and nonsingular fractional derivatives based on different types of kernels …

A mathematical analysis of a system of Caputo–Fabrizio fractional differential equations for the anthrax disease model in animals

S Rezapour, S Etemad, H Mohammadi - Advances in Difference Equations, 2020 - Springer
We study a fractional-order model for the anthrax disease between animals based on the
Caputo–Fabrizio derivative. First, we derive an existence criterion of solutions for the …

Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative

M ur Rahman, M Arfan, K Shah… - Chaos, Solitons & …, 2020 - Elsevier
This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our
case, modeling the recent pandemic due to corona virus (COVID-19). The considered model …

Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis

IM Batiha, S Momani, A Ouannas… - International Journal …, 2022 - World Scientific
Today, the entire world is witnessing an enormous upsurge in coronavirus pandemic
(COVID-19 pandemic). Confronting such acute infectious disease, which has taken multiple …

[HTML][HTML] Fractal-fractional mathematical model addressing the situation of corona virus in Pakistan

K Shah, M Arfan, I Mahariq, A Ahmadian, S Salahshour… - Results in physics, 2020 - Elsevier
This work is the consideration of a fractal fractional mathematical model on the transmission
and control of corona virus (COVID-19), in which the total population of an infected area is …