[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 …
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
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 …
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 Xiong, H Jahanshahi, R Alcaraz, YM Chu… - Chaos, Solitons & …, 2021 - Elsevier
An immense body of research has focused on chaotic systems, mainly because of their
interesting applications in a wide variety of fields. A comprehensive understanding and …
interesting applications in a wide variety of fields. A comprehensive understanding and …
Applications of fractional calculus in computer vision: a survey
Fractional calculus is an abstract idea exploring interpretations of differentiation having non-
integer order. For a very long time, it was considered as a topic of mere theoretical interest …
integer order. For a very long time, it was considered as a topic of mere theoretical interest …
Some new edge detecting techniques based on fractional derivatives with non-local and non-singular kernels
B Ghanbari, A Atangana - Advances in Difference Equations, 2020 - Springer
Computers and electronics play an enormous role in today's society, impacting everything
from communication and medicine to science. The development of computer-related …
from communication and medicine to science. The development of computer-related …
Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems
The trend of developing fractional gradient based iterative adaptive strategies is evolved in
the recent years through effectively exploring the fractional and fractal dynamics. In this …
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 …
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
In a recent development, the legacy of fractional-order multi-dimensional chaotic systems
has attracted numerous researchers owing to their valuable applications in cryptology …
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 …
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 …
there is a direct link between the strength or weakness of the immune system and the spread …