Fractional-order control techniques for renewable energy and energy-storage-integrated power systems: A review

M Alilou, H Azami, A Oshnoei… - Fractal and …, 2023 - mdpi.com
The worldwide energy revolution has accelerated the utilization of demand-side
manageable energy systems such as wind turbines, photovoltaic panels, electric vehicles …

Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application

D O'Regan, SR Aderyani, R Saadati, C Li - Symmetry, 2023 - mdpi.com
We introduce a matrix-valued fractional delay differential system in diverse cases and
present Fox type stability results with applications of aggregated special functions. In …

A new solution of the fractional neutron point kinetics equations using symmetry and the Heaviside's expansion formula

CA Cruz-López, G Espinosa-Paredes - Progress in Nuclear Energy, 2024 - Elsevier
A new analytical solution of the Fractional Neutron Point Kinetics Equations is developed in
the present work, considering multi-groups of precursors of delayed neutrons as well as a …

Hyperthermia therapy of cancerous tumor sitting in breast via analytical fractional model

M Turkyilmazoglu - Computers in Biology and Medicine, 2023 - Elsevier
The heat transfer in bi-layer spherical composite region representing a cancerous tumor
embedded in a homogenous muscle tissue (Andra et al., 1999; Yu and Jiang, 2019) is …

Multiscale tribology analysis of MHD hybrid nanofluid flow over a curved stretching surface

K Muhammad, B Ahmed, M Sharaf… - Nanoscale …, 2024 - pubs.rsc.org
In this study, we investigate the interactions of a hybrid nanofluid on a curved surface that is
being stretched. The magnetic field is perpendicular to the flow and interacts with a mixture …

On Caputo Fractional Derivatives and Caputo–Fabrizio Integral Operators via (s, m)-Convex Functions

A Nosheen, M Tariq, KA Khan, NA Shah… - Fractal and Fractional, 2023 - mdpi.com
This paper contains a variety of new integral inequalities for (s, m)-convex functions using
Caputo fractional derivatives and Caputo–Fabrizio integral operators. Various …

On the formulation of a predictor–corrector method to model IVPs with variable‐order Liouville–Caputo‐type derivatives

A Zerari, Z Odibat, N Shawagfeh - Mathematical Methods in the …, 2023 - Wiley Online Library
Variable‐order fractional calculus operators can be used as a valuable tool to simulate
many nonlinear models with a memory property in fractional calculus applications. In this …

[HTML][HTML] A new model of time-dependent fractional second grade fluid for two-dimensional channel flow with heat transfer

W Ali, F Ali, A ur Rahman, I Khan - Alexandria Engineering Journal, 2023 - Elsevier
The goal of the current paper is to create a novel model for the two-dimensional flow (TDF)
of a second-grade fluid and the transfer of heat due to free convection. The second-grade …

Efficient simulation of Time-Fractional Korteweg-de Vries equation via conformable-Caputo non-Polynomial spline method

MA Yousif, FK Hamasalh, A Zeeshan, M Abdelwahed - PloS one, 2024 - journals.plos.org
This research presents a novel conformable-Caputo fractional non-polynomial spline
method for solving the time-fractional Korteweg-de Vries (KdV) equation. Emphasizing …

[HTML][HTML] Jacobi polynomials method for a coupled system of Hadamard fractional Klein–Gordon–Schrödinger equations

MH Heydari, M Razzaghi - Alexandria Engineering Journal, 2024 - Elsevier
In this work, the Caputo-type Hadamard fractional derivative is utilized to introduce a
coupled system of time fractional Klein–Gordon-Schrödinger equations. The classical and …