A new application of fractional Atangana–Baleanu derivatives: designing ABC-fractional masks in image processing

B Ghanbari, A Atangana - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
Based on a new definition for derivative and integral of fractional-order, several fractional
masks have been presented for the use of image denoising. In each method, the process …

An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma

A Goswami, J Singh, D Kumar - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
In this paper, we present a coupling of homotopy perturbation technique and sumudu
transform known as homotopy perturbation sumudu transform method (HPSTM). We show …

Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative

MA Khan, Z Hammouch… - Mathematical Modelling of …, 2019 - mmnp-journal.org
A virus that causes hepatitis E is known as (HEV) and regarded on of the reason for lever
inflammation. In mathematical aspects a very low attention has been paid to HEV dynamics …

Spatiotemporal patterns in the Belousov–Zhabotinskii reaction systems with Atangana–Baleanu fractional order derivative

KM Owolabi, Z Hammouch - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
In this paper, a robust numerical simulation technique based on the fractional Adams–
Bashforth and the Fourier spectral methods are formulated to explore some spatiotemporal …

Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative

KM Owolabi, A Atangana - Chaos, Solitons & Fractals, 2019 - Elsevier
An epidemic system of HIV/AIDS transmission is examined in this paper. The classical time
derivative is modelled with the Atangana-Baleanu nonlocal and nonsingular fractional …

Modeling the transmission of dengue infection through fractional derivatives

R Jan, MA Khan, P Kumam, P Thounthong - Chaos, Solitons & Fractals, 2019 - Elsevier
It is prominent that memory has a prodigious influence on the development of every process
associated with human societies. More specifically, the growth of an epidemic process is …

[HTML][HTML] An efficient numerical technique for solving time fractional Burgers equation

T Akram, M Abbas, MB Riaz, AI Ismail, NM Ali - Alexandria Engineering …, 2020 - Elsevier
A finite difference scheme which depends on a new approximation based on an extended
cubic B-spline for the second order derivative is used to calculate the numerical outcomes of …

On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models

A Ciancio, G Yel, A Kumar, HM Baskonus, E Ilhan - Fractals, 2022 - World Scientific
In this research paper, we implement the sine-Gordon expansion method to two governing
models which are the (2+ 1)-dimensional Nizhnik–Novikov–Veselov equation and the …

Computational investigation of Stefan blowing effect on flow of second-grade fluid over a curved stretching sheet

RJ Punith Gowda, HM Baskonus… - International Journal of …, 2021 - Springer
Non-Newtonian fluids have extensive range of applications in the field of industries like
plastics processing, manufacturing of electronic devices, lubrication flows, medicine and …

Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel

M Yavuz, N Özdemir - 2020 - dspace.balikesir.edu.tr
In this manuscript, we have proposed a comparison based on newly defined fractional
derivative operators which are called as Caputo-Fabrizio (CF) and Atangana-Baleanu (AB) …