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Fractional-order control techniques for renewable energy and energy-storage-integrated power systems: A review
The worldwide energy revolution has accelerated the utilization of demand-side
manageable energy systems such as wind turbines, photovoltaic panels, electric vehicles …
manageable energy systems such as wind turbines, photovoltaic panels, electric vehicles …
Multiscale tribology analysis of MHD hybrid nanofluid flow over a curved stretching surface
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 …
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
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 …
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 …
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
This paper contains a variety of new integral inequalities for (s, m)-convex functions using
Caputo fractional derivatives and Caputo–Fabrizio integral operators. Various …
Caputo fractional derivatives and Caputo–Fabrizio integral operators. Various …
Efficient simulation of Time-Fractional Korteweg-de Vries equation via conformable-Caputo non-Polynomial spline method
This research presents a novel conformable-Caputo fractional non-polynomial spline
method for solving the time-fractional Korteweg-de Vries (KdV) equation. Emphasizing …
method for solving the time-fractional Korteweg-de Vries (KdV) equation. Emphasizing …
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 …
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
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 …
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 …
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
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 …
calculus to include non-integer exponents. It has been successfully used to model a variety …