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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 …
[HTML][HTML] A new fractional-order chaotic system with its analysis, synchronization, and circuit realization for secure communication applications
This article presents a novel four-dimensional autonomous fractional-order chaotic system
(FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors …
(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
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 …
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
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 …
Atangana–Baleanu fractional derivative to detect blood vessels in retinal images. This …
Automatic design of metaheuristics for practical engineering applications
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 …
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
At present, fractional differential is the effective mathematical approach which deals with the
factual problems. This projected technique employs the fractional derivatives definitions …
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
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 …
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
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 …
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
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 …
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 …
interpolation, compact support, and smoothness. As an interpolation wavelet function, it …