Results 81 to 90 of about 9,426 (207)

Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses

Advances in Difference Equations, 2019
In this paper, we consider a nonlocal boundary value problem of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. We study the existence, uniqueness and generalized Ulam–Hyers–Rassias stability of the proposed model with the
Rizwan Rizwan, Akbar Zada, Xiaoming Wang
doaj   +1 more source

Fluctuation-driven directed transport in the presence of Levy flights

, 2007
Numerical evidence of directed transport driven by symmetric Levy noise in time-independent ratchet potentials in the absence of an external tilting force is presented.
A.V. Chechkin, Bouchaud, Brockmann, Brockmann, Brockmann, Buldyrev, Buldyrev, Carati, Chechkin, Chechkin, Chechkin, Chechkin, Chechkin, Chechkin, Chechkin, D. del-Castillo-Negrete, del-Castillo-Negrete, del-Castillo-Negrete, del-Castillo-Negrete, del-Castillo-Negrete, Ditlevsen, Ditlevsen, Ditlevsen, Dubkov, Dubkov, Dybiec, Dybiec, Feynman, Gnedenko, Gonchar, Imkeller, Jespersen, Jha, Kassam, Katori, Klafter, Levandowsky, Lomholt, Lévy, Mandelbrot, Mantegna, Mateos, Metzler, Nikias, Patriarca, Peng, Phillips, Podlubny, Reimann, Rosa, Samorodnitsky, Samorodnitsky, Samorodnitsky, Segev, Shlesinger, Solomon, V.Yu. Gonchar, Viswanathan, Vlad, Wegman   +59 more
core   +1 more source

Flexible Memory: Progress, Challenges, and Opportunities

Advanced Intelligent Discovery, EarlyView.
Flexible memory technology is crucial for flexible electronics integration. This review covers its historical evolution, evaluates rigid systems, proposes a flexible memory framework based on multiple mechanisms, stresses material design's role, presents a coupling model for performance optimization, and points out future directions.
Ruizhi Yuan, Sen Chen, Minghui Guo, Ziliang Cui, Yujie Du, Jing Liu   +5 more
wiley   +1 more source

A New Result for ψ-Hilfer Fractional Pantograph-Type Langevin Equation and Inclusions

Journal of Mathematics, 2022
In this paper, we deal with the existence and uniqueness of solution for ψ-Hilfer Langevin fractional pantograph differential equation and inclusion; these types of pantograph equations are a special class of delay differential equations.
Hamid Lmou, Khalid Hilal, Ahmed Kajouni
doaj   +1 more source

Langevin equation and fractional dynamics

, 2018
PhD thesis; 135 pages; defended on May 2018 at Wroclaw University of Science and Technology; advisors: Ralf Metzler, Marcin Magdziarz; reviewers: Tomasz Komorowski, Igor ...
openaire   +2 more sources

The Fractional Langevin Equation: Brownian Motion Revisited

, 2008
We have revisited the Brownian motion on the basis of the fractional Langevin equation which turns out to be a particular case of the generalized Langevin equation introduced by Kubo on 1966. The importance of our approach is to model the Brownian motion more realistically than the usual one based on the classical Langevin equation, in that it takes ...
Mainardi, Francesco, Pironi, Paolo
openaire   +2 more sources

Agent‐Based Computational Modeling of the Stochastic Dynamic Behavior of Actin Filaments Recapitulates the Homeostatic Cortical Array in Plant Epidermal Cells

Cytoskeleton, EarlyView.
ABSTRACT The homeostatic cortical actin array in plant cells plays important roles in fundamental processes, including intracellular transport, secretion, cell expansion, and cytoplasmic streaming. In response to diverse chemical and mechanical signals, the cortical array can remodel within minutes to assume new configurations or altered filament ...
June Hyung Kim, Weiwei Zhang, Anjali Iyer‐Pascuzzi, Christopher J. Staiger, Taeyoon Kim   +4 more
wiley   +1 more source

Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers

New Journal of Physics, 2018
The emerging diffusive dynamics in many complex systems show a characteristic crossover behaviour from anomalous to normal diffusion which is otherwise fitted by two independent power-laws.
Daniel Molina-Garcia, Trifce Sandev, Hadiseh Safdari, Gianni Pagnini, Aleksei Chechkin, Ralf Metzler   +5 more
doaj   +1 more source

Generalized Wiener Process and Kolmogorov's Equation for Diffusion induced by Non-Gaussian Noise Source

, 2005
We show that the increments of generalized Wiener process, useful to describe non-Gaussian white noise sources, have the properties of infinitely divisible random processes. Using functional approach and the new correlation formula for non-Gaussian white
Dubkov, Alexander, Spagnol, Bernardo
core   +1 more source

Energy Landscapes in Chemical Reactions and Transport

ChemPhysChem, Volume 26, Issue 6, March 15, 2025.
Kinetics/dynamics of chemical reactivity and transport of chemical species in a solid are both determined by the energy landscape in which they take place. Discussing common grounds but also distinct differences may help in advancing the understanding in both fields.
Karl‐Michael Weitzel
wiley   +1 more source