Existence and behavior of the solutions for an elliptic equation with a nonlocal operator involving critical and discontinuous nonlinearity
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DOI: 10.1016/j.jmaa.2020.124530
Abstract: Abstract In this paper, we study the following class of nonlinear boundary value problems (P)a { − L K u = f ( x , u ) + H ( u − a ) |… read more here.
Keywords: existence behavior; behavior solutions; elliptic equation; solutions elliptic ... See more keywords
MetaNOR: A meta-learnt nonlocal operator regression approach for metamaterial modeling
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DOI: 10.1557/s43579-022-00250-0
Abstract: We propose MetaNOR, a meta-learnt approach for transfer-learning operators based on the nonlocal operator regression. The overall goal is to efficiently provide surrogate models for new and unknown material-learning tasks with different microstructures. The algorithm… read more here.
Keywords: meta learnt; operator regression; nonlocal operator; metanor meta ... See more keywords
Novel Dynamic Structures of 2019-nCoV with Nonlocal Operator via Powerful Computational Technique
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DOI: 10.3390/biology9050107
Abstract: In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense. With the help of the fractional natural decomposition method (FNDM), which is based… read more here.
Keywords: 2019 ncov; ncov nonlocal; novel dynamic; nonlocal operator ... See more keywords