Results 31 to 40 of about 1,340 (226)

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
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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. We further compare fractional Brownian motion with the fractal time process. The respective mean-square displacements of
openaire   +5 more sources

On the new fractional configurations of integro-differential Langevin boundary value problems

Alexandria Engineering Journal, 2021
In this paper, we present the existence criteria for the solutions of boundary value problems involving generalized fractional integro-Langevin equation and inclusion supplemented with nonlocal fractional boundary conditions. The main idea of the current
Shahram Rezapour, Bashir Ahmad, Sina Etemad   +2 more
doaj   +1 more source

Two fractional order Langevin equation with new chaotic dynamics [PDF]

, 2023
In the present paper, we introduce a two-order nonlinear fractional sequential Langevin equation using the derivatives of Atangana-Baleanu and Caputo-Fabrizio.
Dahmani, Zoubir, Mehmet Zeki SARIKAYA, Sarıkaya, Mehmet Zeki, Belhamiti, Meriem Mansouria, Meriem Mansouria BELHAMITI, Zoubir DAHMANİ   +5 more
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Controllability of Hilfer fractional Langevin evolution equations

Frontiers in Applied Mathematics and Statistics, 2023
The existence of fractional evolution equations has attracted a growing interest in recent years. The mild solution of fractional evolution equations constructed by a probability density function was first introduced by El-Borai. Inspired by El-Borai, Zhou and Jiao gave a definition of mild solution for fractional evolution equations with Caputo ...
Haihua Wang, Junhua Ku
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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

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
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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

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

Probability Density of Fractional Brownian Motion and the Fractional Langevin Equation with Absorbing Walls

, 2021
Fractional Brownian motion and the fractional Langevin equation are models of anomalous diffusion processes characterized by long-range power-law correlations in time. We employ large-scale computer simulations to study these models in two geometries, (i)
Vojta, Thomas, Warhover, Alex
core   +1 more source