A survey of fractional calculus applications in artificial neural networks

M Joshi, S Bhosale, VA Vyawahare - Artificial Intelligence Review, 2023 - Springer
Artificial neural network (ANN) is the backbone of machine learning, specifically deep
learning. The interpolating and learning ability of an ANN makes it an ideal tool for …

FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane–Emden system

Z Sabir, MAZ Raja, M Shoaib, JFG Aguilar - Computational and Applied …, 2020 - Springer
In the present study, a novel fractional Meyer neuro-evolution-based intelligent computing
solver (FMNEICS) is presented for numerical treatment of doubly singular multi-fractional …

Stabilization of highly nonlinear stochastic coupled systems via periodically intermittent control

Y Liu, J Liu, W Li - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
This article considers the stabilization of highly nonlinear stochastic coupled systems
(HNSCSs) with time delay via periodically intermittent control. This article is motivated by …

FMNSICS: Fractional Meyer neuro-swarm intelligent computing solver for nonlinear fractional Lane–Emden systems

Z Sabir, MAZ Raja, M Umar, M Shoaib… - Neural Computing and …, 2022 - Springer
The fractional neuro-evolution-based intelligent computing has substantial potential to solve
fractional order systems represented with Lane–Emden equation arising in astrophysics …

Nonlinear subspace clustering by functional link neural networks

L Shi, L Cao, Z Chen, Y Zhao, B Chen - Applied Soft Computing, 2024 - Elsevier
Nonlinear subspace clustering based on a feed-forward neural network has been
demonstrated to provide better clustering accuracy than some advanced subspace …

Design of robust adaptive Volterra noise mitigation architecture for sEMG signals using metaheuristic approach

S Yadav, SK Saha, R Kar - Expert Systems with Applications, 2023 - Elsevier
Surface Electromyogram (sEMG) signals, like other electrophysiological measurements, get
corrupted by several artefacts; much critical helpful information regarding a person's clinical …

Novel fractional swarming with key term separation for input nonlinear control autoregressive systems

F Altaf, CL Chang, NI Chaudhary, KM Cheema… - Fractal and …, 2022 - mdpi.com
In recent decades, fractional order calculus has become an important mathematical tool for
effectively solving complex problems through better modeling with the introduction of …

Global gravitational search algorithm-aided Kalman filter design for Volterra-based nonlinear system identification

L Janjanam, SK Saha, R Kar, D Mandal - Circuits, Systems, and Signal …, 2021 - Springer
This paper proposes an efficient global gravitational search (GGS) algorithm-assisted
Kalman filter (KF) design, called a GGS-KF technique, for accurate estimation of the Volterra …

Bifurcation and chaos detection of a fractional Duffing–van der Pol oscillator with two periodic excitations and distributed time delay

Y Zhang, J Li, S Zhu, H Zhao - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
This paper analytically and numerically investigates the dynamical characteristics of a
fractional Duffing–van der Pol oscillator with two periodic excitations and the distributed time …

Variable step-size saturation affine projection algorithm against impulsive noise

M Lee, J Hur, T Park, PG Park - Journal of the Franklin Institute, 2022 - Elsevier
This study proposes a variable step-size saturation affine projection algorithm (VSS-sat-
APA) robust to impulsive noise. The proposed algorithm is analytically derived from the …