Results 71 to 80 of about 9,437 (210)

Multi-Strip and Multi-Point Boundary Conditions for Fractional Langevin Equation

Fractal and Fractional, 2020
In the present paper, we discuss a new boundary value problem for the nonlinear Langevin equation involving two distinct fractional derivative orders with multi-point and multi-nonlocal integral conditions.
Ahmed Salem, Balqees Alghamdi
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

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

Investigation of the Lithium Extraction Mechanism from LiNi0.6Mn0.2Co0.2O2 by Using Operando Neutron Diffraction in an All‐Solid‐State Battery

Advanced Energy Materials, EarlyView.
All‐solid‐state batteries (ASSB) are promising for high‐energy applications. Using a newly designed electrochemical cell, this study demonstrates reversible Li+ insertion/extraction in a thick ASSB and enables operando neutron diffraction. The results reveal structural evolution and H1‐H2 phase coexistence in LiNi0.6Mn0.2Co0.2O2 (NMC622), while ...
Sreelakshmi Anil Kumar, Dhanush Shanbhag, Ove Korjus, Prashanth Sivakumar, Laurence Croguennec, Christian Masquelier, Jean‐Noël Chotard, Emmanuelle Suard   +7 more
wiley   +1 more source

Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators

Mathematics, 2020
A new form of nonlinear Langevin equation (NLE), featuring two derivatives of non-integer orders, is studied in this research. An existence conclusion due to the nonlinear alternative of Leray-Schauder type (LSN) for the solution is offered first and ...
Dumitru Baleanu, Rahmat Darzi, Bahram Agheli   +2 more
doaj   +1 more source

Anomalous escape governed by thermal 1/f noise

, 2007
We present an analytic study for subdiffusive escape of overdamped particles out of a cusp-shaped parabolic potential well which are driven by thermal, fractional Gaussian noise with a $1/\omega^{1-\alpha}$ power spectrum.
G. H. Weiss, I. Goychuk, J. Klafter, M. J. Saxton, P. Hänggi, R. Gorenflo   +5 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

Fractional Langevin Equations with Nonlocal Integral Boundary Conditions [PDF]

Mathematics, 2019
In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions. Using the Banach contraction principle, Krasnoselskii’s and the nonlinear alternative Leray Schauder theorems, the existence and uniqueness results of solutions are proven.
Ahmed Salem, Faris Alzahrani, Lamya Almaghamsi   +2 more
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

Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions

Advances in Mathematical Physics, 2014
We study existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions. A variety of fixed point theorems are used, such as Banach’
Jessada Tariboon, Sotiris K. Ntouyas, Chatthai Thaiprayoon   +2 more
doaj   +1 more source