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 …

[HTML][HTML] A new fractional-order chaotic system with its analysis, synchronization, and circuit realization for secure communication applications

ZASA Rahman, BH Jasim, YIA Al-Yasir, YF Hu… - Mathematics, 2021 - mdpi.com
This article presents a novel four-dimensional autonomous fractional-order chaotic system
(FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors …

[HTML][HTML] Two efficient numerical techniques for solutions of fractional shallow water equation

M Izadi, SK Yadav, G Methi - Partial Differential Equations in Applied …, 2024 - Elsevier
In this paper, the nonlinear shallow water equation appears in the mathematical modeling of
tsunami wave propagation along the coastline of an ocean is solved numerically. The model …

Blood vessel detection based on fractional Hessian matrix with non-singular Mittag–Leffler Gaussian kernel

JE Solís-Pérez, JF Gómez-Aguilar… - … Signal Processing and …, 2019 - Elsevier
In this work, we proposed a novel method based on fractional Gaussian kernel involving the
Atangana–Baleanu fractional derivative to detect blood vessels in retinal images. This …

Automatic design of metaheuristics for practical engineering applications

DF Zambrano-Gutierrez, JM Cruz-Duarte… - IEEE …, 2023 - ieeexplore.ieee.org
It is common to find multiple metaheuristics to solve continuous optimization problems.
However, choosing what optimizer may obtain the best results for a given task requires …

An effective denoising and enhancement strategy for medical image using Rl-Gl-caputo method

M Ganga, N Janakiraman, AK Sivaraman… - Advances in Parallel …, 2021 - ebooks.iospress.nl
At present, fractional differential is the effective mathematical approach which deals with the
factual problems. This projected technique employs the fractional derivatives definitions …

[HTML][HTML] Evolving tangent hyperbolic memristor based 6D chaotic model with fractional order derivative: analysis and applications

NA Khan, MA Qureshi, NA Khan - Partial Differential Equations in Applied …, 2023 - Elsevier
The nonlinear dynamics of fractional order systems and memristor based circuits have
attracted an escalating attention in recent years. This paper reports on a novel six …

[HTML][HTML] Visualizing fractional inequalities through 2D and 3D graphs with applications

M Samraiz, MT Ghaffar, S Naheed, G Rahman… - Ain Shams Engineering …, 2024 - Elsevier
In this paper, we establish a novel identity by leveraging fractional integral operators of
Riemann-type. Subsequently, we employ this identity to investigate Bullen's fractional …

Clown face in 3D chaotic system integrated with memristor electronics, DNA encryption and fractional calculus

MA Qureshi, NA Khan - The European Physical Journal B, 2024 - Springer
This paper presents a three-dimensional sinusoidal forcing memristor-based chaotic model
with one of its phase portrait trajectories visualized as a face or clown face. The developed …

Hermite‐Shannon‐Cosine spectral method for fractional partial differential equations

H Hu, P Cattani, S Mei - Expert Systems, 2025 - Wiley Online Library
Shannon‐Cosine wavelet function possesses almost all excellent characteristics such as
interpolation, compact support, and smoothness. As an interpolation wavelet function, it …