Results 41 to 50 of about 9,437 (210)

Exactly solvable nonlinear model with two multiplicative Gaussian colored noises [PDF]

open access: yes, 2006
An overdamped system with a linear restoring force and two multiplicative colored noises is considered. Noise amplitudes depend on the system state $x$ as $x$ and $|x|^{\alpha}$. An exactly soluble model of a system is constructed due to consideration of
A.N. Vitrenko   +27 more
core   +2 more sources

Existence results for Langevin equation with Riesz-Caputo fractional derivative [PDF]

open access: yesSurveys in Mathematics and its Applications, 2022
In this paper, we examine existence and uniqueness of solutions for nonlinear Langevin equation involving Riesz-Caputo fractional derivatives, with a class of anti-periodic boundary conditions.
Naas Adjimi, Maamar Benbachir
doaj  

Interacting single-file system: Fractional Langevin formulation versus diffusion-noise approach

open access: yes, 2014
We review the latest advances in the analytical modelling of single file diffusion. We focus first on the derivation of the fractional Langevin equation that describes the motion of a tagged file particle. We then propose an alternative derivation of the
Marchesoni, Fabio, Taloni, Alessandro
core   +1 more source

Review of Some Promising Fractional Physical Models [PDF]

open access: yes, 2015
Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
core   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

On Fractional Langevin Equations with Stieltjes Integral Conditions

open access: yesMathematics, 2022
In this paper, we focus on the study of the implicit FDE involving Stieltjes integral boundary conditions. We first exploit some sufficient conditions to guarantee the existence and uniqueness of solutions for the above problems based on the Banach contraction principle and Schaefer’s fixed point theorem.
Binlin Zhang, Rafia Majeed, Mehboob Alam
openaire   +2 more sources

Unique Performance Considerations for Printable Organic Semiconductor and Perovskite Radiation Detectors: Toward Consensus on Best Practice Evaluation

open access: yesAdvanced Functional Materials, EarlyView.
A lack of standard approaches for testing and reporting the performance of metal halide perovskites and organic semiconductor radiation detectors has resulted in inconsistent interpretation of performance parameters, impeding progress in the field. This Perspective recommends key metrics and experimental details, which are suggested for reporting in ...
Jessie A. Posar   +8 more
wiley   +1 more source

A study on a special case of the Sturm-Liouville equation using the Mittag-Leffler function and a new type of contraction

open access: yesAIMS Mathematics, 2022
One of the most famous equations that are widely used in various branches of physics, mathematics, financial markets, etc. is the Langevin equation. In this work, we investigate the existence of the solution for two generalized fractional hybrid Langevin
Zohreh Heydarpour   +5 more
doaj   +1 more source

Levy Anomalous Diffusion and Fractional Fokker--Planck Equation

open access: yes, 2000
We demonstrate that the Fokker-Planck equation can be generalized into a 'Fractional Fokker-Planck' equation, i.e. an equation which includes fractional space differentiations, in order to encompass the wide class of anomalous diffusions due to a Levy ...
A.V. Chechkin   +41 more
core   +2 more sources

Stochastic modeling in nanoscale biophysics: Subdiffusion within proteins [PDF]

open access: yes, 2008
Advances in nanotechnology have allowed scientists to study biological processes on an unprecedented nanoscale molecule-by-molecule basis, opening the door to addressing many important biological problems. A phenomenon observed in recent nanoscale single-
Kou, S. C.
core   +2 more sources

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