Applications of variable-order fractional operators: a review
S Patnaik, JP Hollkamp… - Proceedings of the …, 2020 - royalsocietypublishing.org
Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …
recent years. The possibility of formulating evolutionary governing equations has led to the …
Event-triggered synchronization in networks of variable-order fractional piecewise-smooth systems with short memory
R Li, H Wu, J Cao - IEEE Transactions on Systems, Man, and …, 2022 - ieeexplore.ieee.org
This article investigates the exponential synchronization issue for networks of variable-order
fractional piecewise-smooth systems with short memory, where each node is modeled to …
fractional piecewise-smooth systems with short memory, where each node is modeled to …
On the fractional homogenization of one-dimensional elastic metamaterials with viscoelastic foundation
This work investigates the application of space–time fractional-order operators to the
simulation of linear elastic waves propagating in 1D periodic structures resting on a …
simulation of linear elastic waves propagating in 1D periodic structures resting on a …
A multiscale Abel kernel and application in viscoelastic problem
W Qiu, T Guo, Y Li, X Guo, X Zheng - arxiv preprint arxiv:2411.16078, 2024 - arxiv.org
We consider the variable-exponent Abel kernel and demonstrate its multiscale nature in
modeling crossover dynamics from the initial quasi-exponential behavior to long-term power …
modeling crossover dynamics from the initial quasi-exponential behavior to long-term power …
Anomalous carrier transport model for broadband infrared absorption in metals
We derive a model for accurately reproducing the broadband infrared optical response of
common engineering metals. Here we use “broadband infrared” to refer to wavelengths …
common engineering metals. Here we use “broadband infrared” to refer to wavelengths …
An Efficient Analytical Method Based on Averaging and Memory-Free Principle for Variable Fractional Oscillators
QX Liu, JK Liu, YM Chen - Journal of Applied …, 2022 - asmedigitalcollection.asme.org
It has been a difficult task to solve fractional oscillators analytically, especially when variable-
order fractional derivatives (FDs) are included. The major difficulty consists in deriving …
order fractional derivatives (FDs) are included. The major difficulty consists in deriving …
Nonlinear fractional order derivative models of components and materials in hearing aids and transducers
AW King - 2019 - orbit.dtu.dk
Hearing aids and transducers have become an integral part of our everyday lives, with the
desire to make these devices smaller and more efficient pushing the limits of the materials …
desire to make these devices smaller and more efficient pushing the limits of the materials …
Temperature-dependent infrared optical and radiative properties of platinum
We propose a spectral thermophysical model for the infrared optical and radiative properties
of metals. The model is suitable for metals possessing nontrivial valency and interband …
of metals. The model is suitable for metals possessing nontrivial valency and interband …
Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations
L Zhang, GF Zhang - Computational and Applied Mathematics, 2021 - Springer
High-dimensional variable-order space-time fractional diffusion equations have numerous
real-world applications and have attracted a lot of attention in recent years. Solving this kind …
real-world applications and have attracted a lot of attention in recent years. Solving this kind …
Thermophysical model for the infrared emissivity of metals
We derive a thermophysical model for the infrared radiative response of common metals by
modifying a recently proposed model to account for the presence of thermally driven …
modifying a recently proposed model to account for the presence of thermally driven …