Fractal and Fractional, 2022 In this theory, the existence of a mild solution for a neutral partial integrodifferential nonlocal system with finite delay is presented and proved using the techniques of the Monch–Krasnosel’skii type of fixed point theorem, a measure of noncompactness
C. Ravichandran +3 more
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On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]
Journal of Differential Equations, 2021 The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely.
Knopf P., Signori A.
openaire +4 more sources
Effect of boundary conditions and constitutive relations on the free vibration of nonlocal beams
Results in Physics, 2020 The free vibrations of nonlocal Euler and Timoshenko beams have been studied extensively, but there still remain some problems concerning boundary conditions and constitutive relations.
Gen Li +3 more
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Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics
Mathematical and Computational Applications, 2021 Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly expanding range of mathematical and computational applications due to the ability of such models to capture effects and phenomena that traditional models cannot ...
Dmytro Sytnyk, Roderick Melnik
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A nonlocal problem for loaded partial differential equations of fourth order
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2018 Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
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Nonlocal Conduction in a Metawire. [PDF]
Adv MaterA 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Iglesias Martínez JA +3 more
europepmc +2 more sources
Sturm–Liouville problem with two point nonlocal second type boundary condition
Lietuvos Matematikos Rinkinys, 2005 The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
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Ritz Method Application to Bending, Buckling and Vibration Analyses of Timoshenko Beams via Nonlocal Elasticity [PDF]
Journal of Applied and Computational Mechanics, 2018 Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in this research using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams are obtained, and then the weak form of these ...
Seyyed Amir Mahdi Ghannadpour
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Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions
, 2021 This paper is mainly concerned with the exact controllability for a class of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next,
Longfei Lin, Yansheng Liu, Daliang Zhao
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