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

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1 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

Time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by Gaussian white noise

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0 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

Wave Propagation in Fractional Space: A Riesz Derivative Approach

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0 Published in 2025 at "Advances in Mathematical Physics"

DOI: 10.1155/admp/8787834

Abstract: This study presents an analytical solution to the fractional wave equation incorporating the Riesz fractional derivative (RFD) of the form (−Δ)γ/2, where 0 < γ ≤ 2 is the order of RFD. The equation is… read more here.

Keywords: fractional space; space riesz; propagation fractional; derivative approach ... See more keywords