Results 101 to 110 of about 9,426 (207)

Numerical study of ergodicity for the overdamped Generalized Langevin Equation with fractional noise

, 2018
The Generalized Langevin Equation, in history, arises as a natural fix for the rather traditional Langevin equation when the random force is no longer memoryless.
Fang, Di, Li, Lei
core  

Subordinated Langevin Equations for Anomalous Diffusion in External Potentials - Biasing and Decoupled Forces

, 2009
The role of external forces in systems exhibiting anomalous diffusion is discussed on the basis of the describing Langevin equations. Since there exist different possibilities to include the effect of an external field the concept of {\it biasing} and ...
Balescu R., Gaspard P., Lasota A., Metzler R., Montroll E. W., R. Friedrich, S. Eule, Weiss G. H.   +7 more
core   +2 more sources

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Solution of nonlinear Langevin equations involving Hilfer-Hadamard fractional order derivatives and variable coefficients

Demonstratio Mathematica
This study innovates a novel technique of the nonlinear fractional Langevin equation of Hilfer-Hadamard type, incorporating an initial condition. The research demonstrates that this problem can be reformulated as an integral equation featuring a Mittag ...
Wang Huiwen, Li Fang
doaj   +1 more source

Modeling the Intermediate Flow Regime in Flow‐Compensated Intravoxel Incoherent Motion MRI

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose The intravoxel incoherent motion (IVIM) model is commonly used to separate the effects of motion related to diffusion and blood microcirculation (perfusion) on the MR signal. Depending on the encoding time (T), it is possible to probe the different temporal regimes of blood motion, which resemble a ballistic flow at short T and a ...
Louise Rosenqvist, Mikael Montelius, Isabella M. Björkman‐Burtscher, Elina Petersson, Maria Ljungberg, Oscar Jalnefjord   +5 more
wiley   +1 more source

Memory effects in the velocity relaxation process of the dust particle in dusty plasma

, 2017
In this paper, by comparing the time scales associated with the velocity relaxation and correlation time of the random force due to dust charge fluctuations, memory effects in the velocity relaxation of an isolated dust particle exposed to the random ...
Ghannad, Zahra, Pajouh, Hossein Hakimi
core   +1 more source

AlphaFold2‐Guided Cyclic Peptide Stabilizer Design to Target Protein–Protein Interactions

Proteins: Structure, Function, and Bioinformatics, EarlyView.
ABSTRACT The control and modulation of protein–protein interactions (PPIs) is of central importance for the majority of biological processes and most biomedical applications. Stabilization of PPIs, besides inhibition, is of growing pharmaceutical interest.
Niklas Halbwedl, Martin Zacharias
wiley   +1 more source

Structural Profiling of Lipid Nanoparticles at Sub‐10 nm Resolution via AF4 Coupled Online to SAXS and SANS

Small Methods, EarlyView.
Dilution‐controlled AF4 coupled with SAXS and, for the first time, SANS enables high‐resolution characterization of non‐spherical lipid nanoparticles. Enhanced scattering contrast and D2O‐based measurements resolve particle features down to ∼5 nm and reveal shape distributions.
Eva Bittrich, Susanne Boye, Zanelle Van Niekerk, Zahn Stanvliet, Arthur Porfetye, Fátima Herranz‐Trillo, Hans Bolinsson, Stefaniya Gaydarova, Christo Tzachev, Anne Martel, Lars Nilsson, Ralf Schweins, Albena Lederer   +12 more
wiley   +1 more source

Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative

Boundary Value Problems
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ-Caputo fractional derivative with a modified argument. We prove the uniqueness of the solution using the Banach
Hacen Serrai, Brahim Tellab, Sina Etemad, İbrahim Avcı, Shahram Rezapour   +4 more
doaj   +1 more source

Structure and composition of supported lipid bilayers: a comparison between solvent‐assisted lipid bilayer and vesicle fusion methods

Journal of Applied Crystallography, EarlyView.
Neutron reflectometry is used to compare supported lipid bilayers formed by vesicle fusion and solvent‐assisted lipid bilayer (SALB) methods, revealing structurally comparable architectures with minor differences in acyl chain thickness and low residual solvent incorporation.
Birgit Felderer, Claire Buchanan, Shuhong Wang, Hsin-Hui Shen, Andrew Nelson, Stephen C. L. Hall, Marité Cárdenas   +6 more
wiley   +1 more source