Results 51 to 60 of about 83,338 (291)

The Rational Spectral Method Combined with the Laplace Transform for Solving the Robin Time-Fractional Equation

Advances in Mathematical Physics, 2020
In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations.
Lufeng Yang
doaj   +1 more source

The Laguerre transform of a convolution product of vector-valued functions.

Математичні Студії, 2021
The Laguerre transform is applied to the convolution product of functions of a real argument (over the time axis) with values in Hilbert spaces.
A. O. Muzychuk
doaj   +1 more source

Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion

Advanced Materials, EarlyView.
This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang, Gonzalo Rivera‐Sierra, Shirin Siahjani‐Gultekin, Jenifer Rubio‐Magnieto, Anis Allagui, Ignacio Sanjuán, David Franco, Antonio Guerrero, Enrique H. Balaguera, Juan Bisquert   +9 more
wiley   +1 more source

Characterization of Droplet Formation in Ultrasonic Spray Coating: Influence of Ink Formulation Using Phase Doppler Anemometry and Machine Learning

Advanced Materials Technologies, EarlyView.
This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding, Danny E. P. Vanpoucke, Yunus T. Aksoy, Tobias Corthouts, Maria R. Vetrano, Wim Deferme   +5 more
wiley   +1 more source

Circuit Simulation of Any Time-Domain Source on Fractional-Order Impedances by Use of the Haar Wavelet Transform, Case Study of the Skin Effect

IEEE Open Journal of Circuits and Systems
An application of the ability of the Haar wavelet operational matrix to perform the numerical inverse Laplace transform as combined with the intrinsically convenient Haar wavelet transform of any time-domain signal is presented in this paper.
Georgios G. Roumeliotis, Jan Desmet, Jos Knockaert   +2 more
doaj   +1 more source

On sensitivity analysis of parameters for fractional differential equations with Caputo derivatives

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, we discuss the effect of parameter variations on the performance of fractional differential equations and give the concept of fractional sensitivity functions and fractional sensitivity equations.
Yuxiang Guo, Baoli Ma, Ranchao Wu
doaj   +1 more source

Accelerating Luminescence in Nanostructures: Exploring the Physical Limits and Impact of Ultrafast Emission in Nanoscale Materials

Advanced Photonics Research, EarlyView.
This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida, Koichi Okamoto, Takuya Matsuda, Hajime Ishihara   +3 more
wiley   +1 more source

Numerical solution of the linear time fractional Klein-Gordon equation using transform based localized RBF method and quadrature

AIMS Mathematics, 2020
This work aims to approximate the solution of the linear time-fractional Klein-Gordon equations in Caputo’s sense. The Laplace transform is applied to linear time fractional Klein-Gordon equation to eliminate the time variable and avoid the time stepping
Xiangmei Li, Kamran, Absar Ul Haq, Xiujun Zhang   +3 more
doaj   +1 more source

Regularized Inversion of Noisy Laplace Transforms

Advances in Applied Mathematics, 1994
The authors construct a sequence of regularized inverses of the Laplace transform by relating this transform to a convolution operator for functions on the group of the positive real numbers with multiplication. Noisy Laplace transforms arise in a wide variety of practical problems, for example in system theory and statistics.
Chauveau, D.E., Rooij, A.C.M. van, Ruymgaart, F.H.   +2 more
openaire   +3 more sources

Initial Distance‐Dependent Mean Force Drives Synaptic Vesicle Motion Toward Fusion Sites in Stimulated Hippocampal Neurons

Advanced Science, EarlyView.
Synaptic vesicle (SV) motion and exocytosis dynamics in the presynaptic terminals of live neurons are intimately linked to synaptic transmission during neuronal activity. In this work, it is revealed that, during electrical stimulation, SVs located farther from their fusion sites exhibit greater straightness and experience larger mean forces directed ...
Gyunam Park, Ji‐Hyun Kim, Hunki Lee, Chungwon Park, Sidong Chen, Luke Bates, Jaeyoung Sung, Hyokeun Park   +7 more
wiley   +1 more source