Results 31 to 40 of about 9,426 (207)

Existence Results of Langevin Equations with Caputo–Hadamard Fractional Operator

Journal of Mathematics, 2023
In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo–Hadamard and Caputo fractional operators, with nonperiodic and nonlocal integral boundary conditions.
Sombir Dhaniya, Anoop Kumar, Aziz Khan, Thabet Abdeljawad, Manar A. Alqudah   +4 more
doaj   +1 more source

Fractional Langevin equation from damped bath dynamics [PDF]

Physical Review E, 2019
We consider the stochastic dynamics of a system linearly coupled to a hierarchical thermal bath with two well-separated inherent timescales: one slow, and one fast. The slow part of the bath is modeled as a set of harmonic oscillators and taken into account explicitly, while the effects of the fast part of the bath are simulated by dissipative and ...
openaire   +3 more sources

Dynamics of ions in the selectivity filter of the KcsA channel [PDF]

, 2013
The statistical and dynamical properties of ions in the selectivity filter of the KcsA ion channel are considered on the basis of molecular dynamics (MD) simulations of the KcsA protein embedded in a lipid membrane surrounded by an ionic solution.
A. Laio, A.D. Mackerell, A.D. MacKerell, A.S. Adelman, B. Eisenberg, D.A. Doyle, D.G. Luchinsky, E. Piccinini, G. Goodyear, G.R. Kneller, I.A. Khovanov, J.B. Klauda, J.C. Phillips, L. Schimansky-Geier, M. Tuckerman, M.G. Kurnikova, M.I. Dykman, M.P. Allen, P.M. Rodger, P.V.E. McClintock, S. Bernèche, S. Bernèche, S. Kumar, S. Nordholm, S.C. Kou, S.M. Cosseddu, S.Yu. Noskov, U. Essmann, Y. Zhou   +28 more
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Generalized Elastic Model Yields a Fractional Langevin Equation Description [PDF]

Physical Review Letters, 2010
Starting from a generalized elastic model which accounts for the stochastic motion of several physical systems such as membranes, (semi)flexible polymers, and fluctuating interfaces among others, we derive the fractional Langevin equation (FLE) for a probe particle in such systems, in the case of thermal initial conditions. We show that this FLE is the
Taloni Alessandro, Chechkin Aleksei, Klafter Joseph   +2 more
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Nonlocal coupled system for $ \psi $-Hilfer fractional order Langevin equations

AIMS Mathematics, 2021
En el presente trabajo se estudia un sistema acoplado que consiste en ecuaciones de Langevin de orden fraccional $ \psi $ -Hilfer complementadas con condiciones de contorno integral no locales. Los resultados de existencia y unicidad se obtienen mediante el uso de teoremas estándar de punto fijo.
Weerawat Sudsutad, Sotiris K. Ntouyas, Chatthai Thaiprayoon   +2 more
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Langevin Approach to Fractional Diffusion Equations Including Inertial Effects [PDF]

The Journal of Physical Chemistry B, 2007
In recent years, several fractional generalizations of the usual Kramers-Fokker-Planck equation have been presented. Using an idea of Fogedby (Fogedby, H. C. Phys. Rev. E 1994, 50, 041103), we show how these equations are related to Langevin equations via the procedure of subordination.
Eule, S., Friedrich, R., Jenko, F., Kleinhans, D.   +3 more
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New fractional results for Langevin equations through extensive fractional operators

AIMS Mathematics, 2022
<abstract><p>Fractional Langevin equations play an important role in describing a wide range of physical processes. For instance, they have been used to describe single-file predominance and the behavior of unshackled particles propelled by internal sounds.
M.A. Barakat, Abd‐Allah Hyder, Doaa Rizk   +2 more
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Existence results for Langevin equation with Riesz-Caputo fractional derivative [PDF]

Surveys 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  

Fractional Kinetics for Relaxation and Superdiffusion in Magnetic Field [PDF]

, 2001
We propose fractional Fokker-Planck equation for the kinetic description of relaxation and superdiffusion processes in constant magnetic and random electric fields.
A. V. Chechkin, Chechkin A. V., Chechkin A. V., Jespersen S., Korsunoglu B., M. Szydl/owski, Maejima M., Mantegna R. N., Metzler R., Peseckis F. E., V. Yu. Gonchar, Yanovsky V. V., Zolotarev V. M.   +12 more
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Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions

Journal of Applied Mathematics, 2013
We study a boundary value problem for fractional equations involving two fractional orders. By means of a fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations.
Jing Zhao, Peifen Lu, Yiliang Liu
doaj   +1 more source