Results 11 to 20 of about 9,437 (210)

Fractional Langevin equation [PDF]

Physical Review E, 2001
We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both sub- and superdiffusion of a free particle coupled to a fractal heat bath.
A. Caspi, A. Ott, A.E. Hansen, A.I. Saichev, B.B. Mandelbrot, C.-K. Peng, D. Kusnezov, D. Kusnezov, E. Barkai, E. Barkai, E. Barkai, E. Lutz, E. Lutz, E. Lutz, Eric Lutz, F. Amblard, F. Amblard, F. Mainardi, J.M. Porrá, K. Lindenberg, K.G. Wang, N.G. van Kampen, P. Allegrini, P. Peyrera, P.A. Mello, Q. Gu, R. Brüggemann, R. Kubo, R. Metzler, R. Metzler, R. Metzler, R.F. Voss, S. Stapf, T.H. Solomon, V. Balakrishnan, W. Li, W.R. Schneider, W.T. Juan   +37 more
core   +4 more sources

Fractional Langevin Equation of Distributed Order [PDF]

Physical Review E, 2010
Distributed order fractional Langevin-like equations are introduced and applied to describe anomalous diffusion without unique diffusion or scaling exponent.
Eab, C. H., Lim, S. C.
core   +3 more sources

Correlations in a Generalized Elastic Model: Fractional Langevin Equation Approach [PDF]

Physical Review E, 2012
The Generalized Elastic Model (GEM) provides the evolution equation which governs the stochastic motion of several many-body systems in nature, such as polymers, membranes, growing interfaces.
A. L. Barabasi, A. M. Mathai, A. P. Prudnikov, Aleksei Chechkin, Alessandro Taloni, D. C. Champeney, F. Oberhettinger, I. Podlubny, I. S. Gradshtein, Joseph Klafter, M. Abramowitz, M. Doi, N. G. van Kampen, R. Hilfer, S. G. Samko, W. F. Helfrich   +15 more
core   +3 more sources

Fractional Langevin Equations with Nonseparated Integral Boundary Conditions [PDF]

Advances in Mathematical Physics, 2020
In this paper, we discuss the existence of solutions for nonlinear fractional Langevin equations with nonseparated type integral boundary conditions. The Banach fixed point theorem and Krasnoselskii fixed point theorem are applied to establish the results. Some examples are provided for the illustration of the main work.
Khalid Hilal, Lahcen Ibnelazyz, Karim Guida, Saïd Melliani   +3 more
openaire   +3 more sources

Critical Exponent of the Fractional Langevin Equation [PDF]

Physical Review Letters, 2008
We investigate the dynamical phase diagram of the fractional Langevin equation and show that critical exponents mark dynamical transitions in the behavior of the system. For a free and harmonically bound particle the critical exponent alpha(c)=0.402+/-0.002 marks a transition to a nonmonotonic underdamped phase.
S, Burov, E, Barkai
openaire   +2 more sources

Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]

Comput Intell Neurosci, 2021
We look at fractional Langevin equations (FLEs) with generalized proportional Hadamard–Caputo derivative of different orders. Moreover, nonlocal integrals and nonperiodic boundary conditions are considered in this paper. For the proposed equations, the Hyres–Ulam (HU) stability, existence, and uniqueness (EU) of the solution are defined and ...
Barakat MA, Soliman AH, Hyder AA, Hyder AA.   +3 more
europepmc   +4 more sources

SOLVABILITY FOR IMPULSIVE FRACTIONAL LANGEVIN EQUATION

Journal of Applied Analysis & Computation, 2020
Summary: We investigate impulsive fractional Langevin equation involving two fractional Caputo derivatives with boundary value conditions. By Banach contraction mapping principle and Krasnoselskii's fixed point theorem, some results on the existence and uniqueness of solution are obtained.
Xu, Mengrui, Sun, Shurong, Han, Zhenlai
openaire   +1 more source

Fractional Langevin Equation to Describe Anomalous Diffusion [PDF]

Progress of Theoretical Physics Supplement, 2000
A Langevin equation with a special type of additive random source is considered. This random force presents a fractional order derivative of white noise, and leads to a power-law time behavior of the mean square displacement of a particle, with the power exponent being noninteger.
Kobelev, V., Romanov, E.
openaire   +2 more sources

Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions

Boundary Value Problems, 2023
This research inscription gets to grips with two novel varieties of boundary value problems. One of them is a hybrid Langevin fractional differential equation, whilst the other is a coupled system of hybrid Langevin differential equation encapsuling a ...
A. Boutiara, Mohammed M. Matar, Thabet Abdeljawad, Fahd Jarad   +3 more
doaj   +1 more source

Adeno‐associated virus serotype 2 capsid variants for improved liver‐directed gene therapy

Hepatology, EarlyView., 2022
Abstract Background and Aims Current liver‐directed gene therapies look for adeno‐associated virus (AAV) vectors with improved efficacy. With this background, capsid engineering is explored. Whereas shuffled capsid library screenings have resulted in potent liver targeting variants with one first vector in human clinical trials, modifying natural ...
Nadja Meumann, Marti Cabanes‐Creus, Moritz Ertelt, Renina Gale Navarro, Julie Lucifora, Qinggong Yuan, Karin Nien‐Huber, Ahmed Abdelrahman, Xuan‐Khang Vu, Liang Zhang, Ann‐Christin Franke, Christian Schmithals, Albrecht Piiper, Annabelle Vogt, Maria Gonzalez‐Carmona, Jochen T. Frueh, Evelyn Ullrich, Philip Meuleman, Steven R. Talbot, Margarete Odenthal, Michael Ott, Erhard Seifried, Clara T. Schoeder, Joachim Schwäble, Leszek Lisowski, Hildegard Büning   +25 more
wiley   +1 more source