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An analog of the Tricomi problem with a nonlocal integral conjugate condition

Russian Mathematics, 2009
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Solvability of a Coupled System of Fractional Differential Equations with Nonlocal and Integral Boundary Conditions

Fundamenta Informaticae, 2017
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with nonlocal and integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative ...
Bashir Ahmad 0003 +3 more
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On stability of hyperbolic-elliptic differential equations with nonlocal integral condition

AIP Conference Proceedings, 2012
The nonlocal boundary value problem for hyperbolic-elliptic equations utt(t)+Au(t) = f(t),0≤t≤1, −utt(t)+Au(t) = g(t),−1≤t≤0, u(−1) = ∫ 00α(s)u(s)ds+ψ,u(0) = φ in a Hilbert space H with the self-adjoint positive definite operator A is considered. The stability estimates for the solution of this problem are established.
Allaberen Ashyralyev +2 more
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On the Theory of Nonlocal Problems with Integral Conditions for Systems of Equations of Hyperbolic Type

Ukrainian Mathematical Journal, 2019
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Thermoelastic analysis of nanobar based on nonlocal integral elasticity and nonlocal integral heat conduction

Journal of Thermal Stresses, 2021
Hai Qing
exaly

One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: Close form solution and consistent size effect

Applied Mathematical Modelling, 2021
Pei-Liang Bian, Hai Qing, Cun-Fa Gao
exaly

On integral and differential formulations in nonlocal elasticity

European Journal of Mechanics, A/Solids, 2023
Julius Kaplunov, Danila A Prikazchikov
exaly

Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory

Mathematics and Mechanics of Solids, 2022
Hooman Danesh
exaly

Nonlocal Interaction, Causality and Integrability Condition

Progress of Theoretical Physics, 1960
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