Development and analysis of some versions of the fractional-order point reactor kinetics model for a nuclear reactor with slab geometry

DOI10.1016/J.CNSNS.2012.11.012zbMath1274.82107OpenAlexW1984429827MaRDI QIDQ375650

Paluri S. V. Nataraj, Vishwesh A. Vyawahare

Publication date: 31 October 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1007570412005357

zbMATH Keywords

nuclear reactorfractional-order modelingpoint-reactor kinetics model

Mathematics Subject Classification ID

Nuclear reactor theory; neutron transport (82D75)

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A new simplified analytical solution to solve the neutron point kinetics equations using the Laplace transform method ⋮ STABILITY/INSTABILITY MAPS OF THE NEUTRON POINT KINETIC MODEL WITH CONFORMABLE AND CAPUTO DERIVATIVES ⋮ A reflection on the fractional order nuclear reactor dynamics ⋮ Unnamed Item ⋮ On the stability of fractional neutron point kinetics (FNPK) ⋮ Optimal motion control of the system modeled by double integrator of fractional order

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