Vibration Analysis of Multilayer Stepped Cross-Sectional Carbon Nanotubes. [PDF]
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Nonlocal Effect of Percolated Particle Networks on Viscoelasticity of Polymer-Filler Nanocomposites: A Mesoscale Simulation Study. [PDF]
Xian W, Tang Z, Maiti A, Saab AP, Li Y.
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Response of nonlocal thermoelastic nanobeams supported by Pasternak foundations to the effect of generalized fractional theory with three-phase lags. [PDF]
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Peridynamics-Based Finite Element Analysis of Sealing Failure at Casing-Cement Sheath Interfaces in Ultra-Deep Wells. [PDF]
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Fixed-point topology meets fractal memory: a Kutumba-stabilized framework for nonlocal fractal-fractional dynamics. [PDF]
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Wave propagation in dual-porosity media under the combined effects of light, heat, elasticity, and gravity. [PDF]
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On the Cauchy Problems of Fractional Evolution Equations with Nonlocal Initial Conditions
Results in Mathematics, 2011The authors study Cauchy problems with nonlocal conditions involving fractional derivatives. Criteria for compactness and Lipschitz continuity of the nonlocal term are relaxed in order to prove existence and uniqueness of a solution. The compactness of the semigroup is used to relax the conditions on the nonlocal term.
Rong-Nian Wang
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Constrained differential inclusions with nonlocal initial conditions [PDF]
We show existence for the perturbed sweeping process with nonlocal initial conditions under very general hypotheses. Periodic, anti-periodic, mean value and multipoints conditions are included in this study. We give abstract results for differential inclusions with nonlocal initial conditions through bounding functions and tangential conditions.
Jourani, Abderrahim, Vilches, Emilio
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A class of stochastic nonlocal evolution equations with nonlocal initial conditions
Analysis and Applications, 2023In this paper, we consider the existence and uniqueness of mild solutions for stochastic nonlocal evolution equations with Lévy diffusion operator and nonlocal initial conditions. Based on the continuity of the Lévy semigroup and the technique of the measure of noncompactness, we establish the local existence of mild solutions in [Formula: see text ...
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