[HTML][HTML] Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

MA Khan, A Atangana - Alexandria Engineering Journal, 2020 - Elsevier
The present paper describes the mathematical modeling and dynamics of a novel corona
virus (2019-nCoV). We describe the brief details of interaction among the bats and unknown …

A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

D Baleanu, A Jajarmi, H Mohammadi… - Chaos, Solitons & …, 2020 - Elsevier
In this research, we aim to propose a new fractional model for human liver involving Caputo–
Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of …

Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode …

PY ** fractional gradient based iterative adaptive strategies is evolved in
the recent years through effectively exploring the fractional and fractal dynamics. In this …

On the solitary wave solutions and physical characterization of gas diffusion in a homogeneous medium via some efficient techniques

M Khater, B Ghanbari - The European Physical Journal Plus, 2021 - Springer
This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …

Design of intelligent computing networks for nonlinear chaotic fractional Rossler system

AH Bukhari, MAZ Raja, N Rafiq, M Shoaib… - Chaos, Solitons & …, 2022 - Elsevier
In a recent development, the legacy of fractional-order multi-dimensional chaotic systems
has attracted numerous researchers owing to their valuable applications in cryptology …

On approximate solutions for a fractional prey–predator model involving the Atangana–Baleanu derivative

B Ghanbari - Advances in Difference Equations, 2020 - Springer
Mathematical modeling has always been one of the most potent tools in predicting the
behavior of dynamic systems in biology. In this regard, we aim to study a three-species prey …

On the modeling of the interaction between tumor growth and the immune system using some new fractional and fractional-fractal operators

B Ghanbari - Advances in difference equations, 2020 - Springer
Humans are always exposed to the threat of infectious diseases. It has been proven that
there is a direct link between the strength or weakness of the immune system and the spread …