Results 41 to 50 of about 9,426 (207)

Fractional L\'{e}vy-driven Ornstein--Uhlenbeck processes and stochastic differential equations

, 2011
Using Riemann-Stieltjes methods for integrators of bounded $p$-variation we define a pathwise integral driven by a fractional L\'{e}vy process (FLP). To explicitly solve general fractional stochastic differential equations (SDEs) we introduce an Ornstein-
Fink, Holger, Klüppelberg, Claudia
core   +1 more source

Qualitative Analysis of Langevin Integro-Fractional Differential Equation under Mittag–Leffler Functions Power Law

Fractal and Fractional, 2021
This research paper intends to investigate some qualitative analysis for a nonlinear Langevin integro-fractional differential equation. We investigate the sufficient conditions for the existence and uniqueness of solutions for the proposed problem using ...
Mohammed A. Almalahi, F. Ghanim, Thongchai Botmart, Omar Bazighifan, Sameh Askar   +4 more
doaj   +1 more source

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

, 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

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

, 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, Aitcheson, Bartussek, Denisov, Denisov, Denisov, Doering, Doob, Fulinski, Gardiner, Horsthemke, Hänggi, Hänggi, Hänggi, Hänggi, Jia, Jung, Jung, Kamke, Liang, Magnasco, Masoliver, Papoulis, Risken, Sancho, Van Kampen, Wei, Wu   +27 more
core   +2 more sources

On Fractional Langevin Equations with Stieltjes Integral Conditions

Mathematics, 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

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

FEBS 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, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source

Uncovering the Origin of Efficiency Roll‐Off in TADF OLEDs

Advanced Functional Materials, EarlyView.
OLEDs based on thermally activated delayed fluorescent (TADF) materials often suffer from a severe drop in efficiency at high brightness levels. This work presents a technique to uncover the source of this efficiency drop, and quantifies the exciton‐exciton and exciton‐polaron annihilation processes responsible for efficiency losses in our TADF OLEDs ...
Liam G. King, Kou Yoshida, Arvydas Ruseckas, Ifor D. W. Samuel   +3 more
wiley   +1 more source

( k , φ ) $(\mathtt{k},\varphi )$ -Hilfer fractional Langevin differential equation having multipoint boundary conditions

Boundary Value Problems
The primary objective of this manuscript is to investigate the existence and uniqueness of solutions for the Langevin ( k , φ ) $(\mathtt{k},\varphi )$ -Hilfer fractional differential equation of different orders with multipoint nonlocal fractional ...
HuiYan Cheng, Naila, Akbar Zada, Ioan-Lucian Popa, Afef Kallekh   +4 more
doaj   +1 more source

Fractal physiology and the fractional calculus: a perspective

Frontiers in Physiology, 2010
This paper presents a restricted overview of Fractal Physiology focusing on the complexity of the human body and the characterization of that complexity through fractal measures and their dynamics, with fractal dynamics being described by the fractional ...
Bruce J West
doaj   +1 more source

Analysis of a Coupled System of Nonlinear Fractional Langevin Equations with Certain Nonlocal and Nonseparated Boundary Conditions

Journal of Mathematics, 2021
In this article, we use some fixed point theorems to discuss the existence and uniqueness of solutions to a coupled system of a nonlinear Langevin differential equation which involves Caputo fractional derivatives of different orders and is governed by ...
Zaid Laadjal, Qasem M. Al-Mdallal, Fahd Jarad   +2 more
doaj   +1 more source