Results 61 to 70 of about 8,540,747 (378)

CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE

open access: yesInternational Journal of Apllied Mathematics, 2019
The aim of the present paper is to prove the existence of solutions of the initial value problem for a nonlinear integro-differential equation of fractional order α ∈ (0, 1) with nonlocal conditions in Banach spaces.
Mohammed S Abdo   +2 more
semanticscholar   +1 more source

Nullspace of the m-th order discrete problem with nonlocal conditions

open access: yesLietuvos Matematikos Rinkinys, 2016
In this paper, we obtain the representation of the nullspace for m-th order discrete linear problems with nonlocal conditions. An example is given. The research was partially supported by the Research Council of Lithuania (grant No. MIP-047/2014).
Gailė Paukštaitė, Artūras Štikonas
doaj   +1 more source

Second order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems [PDF]

open access: yesarXiv, 2021
We present an approach to handle Dirichlet type nonlocal boundary conditions for nonlocal diffusion models with a finite range of nonlocal interactions. Our approach utilizes a linear extrapolation of prescribed boundary data. A novelty is, instead of using local gradients of the boundary data that are not available a priori, we incorporate nonlocal ...
arxiv  

Intertwined Topological Phases in TaAs2 Nanowires with Giant Magnetoresistance and Quantum Coherent Surface Transport

open access: yesAdvanced Materials, EarlyView.
Synthesis of topological semimetal TaAs2 nanowires in situ encapsulated with a thin SiO2 shell unravel a richness of intertwined topological phases manifested by their magnetotransport features: A near‐room‐temperature metal‐to‐insulator transition, strong expressions of topologically nontrivial surface transport, giant magnetoresistance with direction‐
Anand Roy   +9 more
wiley   +1 more source

Generalized Green’s functions for second-order discrete boundary-value problems with nonlocal boundary conditions

open access: yesLietuvos Matematikos Rinkinys, 2012
In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
doaj   +1 more source

Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions [PDF]

open access: yesarXiv, 2020
The present work is devoted to the problem of boundary stabilization of the semilinear 1-D heat equation with nonlocal boundary conditions. The stabilizing controller is finite-dimensional, linear, given in an explicit form, involving only the eigenfunctions of the Laplace operator with nonlocal boundary conditions.
arxiv  

Research Progress on Atmospheric Turbulence Perception and Correction Based on Adaptive Optics and Deep Learning

open access: yesAdvanced Photonics Research, EarlyView.
This work presents a systematic review of atmospheric turbulence fundamentals, including theoretical formulations and adaptive optics‐based mitigation strategies. This includes an in‐depth examination of the devices, theories, and methodologies associated with traditional correction approaches.
Qinghui Liu   +5 more
wiley   +1 more source

Fractional integrodifferential equations with nonlocal conditions and generalized Hilfer fractional derivative

open access: yesUfimskii Matematicheskii Zhurnal, 2019
We study some basic properties of the qualitative theory such as existence, uniqueness, and stability of solutions to the first-order of weighted Cauchy-type problem for nonlinear fractional integro-differential equation with nonlocal conditions ...
Wahash Hanan Abdulrahman   +2 more
semanticscholar   +1 more source

Imaging Photonic Resonances within an All‐Dielectric Metasurface via Photoelectron Emission Microscopy

open access: yesAdvanced Photonics Research, EarlyView.
Photonic resonances within a dielectric metasurface are investigated using photoelectron emission microscopy (PEEM) and finite‐difference time‐domain simulations. An electron inelastic mean free path of 35 ± 10 nm is extracted from comparisons between microscopy and simulations.
Andrew R. Kim   +9 more
wiley   +1 more source

Conditioning and error analysis of nonlocal operators with local boundary conditions

open access: yesJournal of Computational and Applied Mathematics, 2018
TUBITAK (MFAG 115F473); European Commission Marie Curie Career Integration 293978; United States Department of Energy (DOE) 1120-1120 ...
Adem Kaya, Burak Aksoylu, Burak Aksoylu
openaire   +5 more sources

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