Articles with "fractional space" as a keyword



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Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics

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Published in 2017 at "Annals of Nuclear Energy"

DOI: 10.1016/j.anucene.2016.08.007

Abstract: The aim of this paper is the mathematical derivation, and numerical analysis of the fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics. The classic neutron point kinetics (CNPK) equations are one of the… read more here.

Keywords: fractional space; anomalous diffusion; reactor dynamics; point kinetics ... See more keywords
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Time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by Gaussian white noise

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Published in 2019 at "Stochastic Analysis and Applications"

DOI: 10.1080/07362994.2018.1486203

Abstract: Abstract We present the time-spatial regularity of the nonlocal stochastic convolution for Caputo-type time fractional nonlocal Ornstein–Ulenbeck equations by the generalized Mittag–Leffler functions and Mainardi function, and establish the existence and uniqueness of mild solutions… read more here.

Keywords: fractional space; stochastic nonlinear; time fractional; time ... See more keywords