A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
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 …
describes the accurate description of phenomena in biology and related health issues. The …
An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator
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 …
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …
A fractional model for propagation of classical optical solitons by using nonsingular derivative
The Schrödinger equation depends on the physical circumstance, which describes the state
function of a quantum‐mechanical system and gives a characterization of a system evolving …
function of a quantum‐mechanical system and gives a characterization of a system evolving …
Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
The aim of this article was to address the lump, lump-one stripe, multiwave and breather
solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This …
solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This …
An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets
In this paper, the operational matrix based on Bernstein wavelets is presented for solving
fractional SIR model with unknown parameters. The SIR model is a system of differential …
fractional SIR model with unknown parameters. The SIR model is a system of differential …
On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique
B Ghanbari - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
One of the most interesting branches of fractional calculus is the local fractional calculus,
which has been used successfully to describe many fractal problems in science and …
which has been used successfully to describe many fractal problems in science and …
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 …
A study on fractional host–parasitoid population dynamical model to describe insect species
The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐
known as biological control agents. Parasites are different from predators because parasites …
known as biological control agents. Parasites are different from predators because parasites …
A new generalized definition of fractional derivative with non-singular kernel
K Hattaf - Computation, 2020 - mdpi.com
This paper proposes a new definition of fractional derivative with non-singular kernel in the
sense of Caputo which generalizes various forms existing in the literature. Furthermore, the …
sense of Caputo which generalizes various forms existing in the literature. Furthermore, the …
[HTML][HTML] Jaya optimization algorithm for transient response and stability enhancement of a fractional-order PID based automatic voltage regulator system
Considering the higher flexibility in tuning process and finer control action of the fractional-
order proportional integral derivative (FOPID) controller over the conventional proportional …
order proportional integral derivative (FOPID) controller over the conventional proportional …