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 …

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 …

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 …

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 …

Liquid vortex formation in a swirling container considering fractional time derivative of caputo

M Turkyilmazoglu, AS Alofi - Fractal and Fractional, 2024 - mdpi.com
This paper applies fractional calculus to a practical example in fluid mechanics, illustrating
its impact beyond traditional integer order calculus. We focus on the classic problem of a …

[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 …

On a fractional derivative operator with a singular kernel: definition, properties and numerical simulation

Z Odibat - Physica Scripta, 2024 - iopscience.iop.org
This paper is concerned with proposing a novel nonlocal fractional derivative operator with a
singular kernel. We considered a fractional integral operator as a single integral of …

Effect of chemical reaction on MHD Casson natural convection flow over an oscillating plate in porous media using Caputo fractional derivative

S Abbas, ZU Nisa, M Nazar, ASM Metwally… - International Journal of …, 2025 - Elsevier
Fractional calculus is a branch of mathematics that extends the traditional definitions of
calculus to include non-integer exponents. It has been successfully used to model a variety …