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For: Nahla AA. Analytical solution of the fractional point kinetics equations with multi-group of delayed neutrons during start-up of a nuclear reactor. ANN NUCL ENERGY 2017;99:247-52. [DOI: 10.1016/j.anucene.2016.08.030] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Number Cited by Other Article(s)
1
Polo-Labarrios M, Godínez F, Quezada-García S. Numerical-analytical solutions of the fractional point kinetic model with Caputo derivatives. ANN NUCL ENERGY 2022. [DOI: 10.1016/j.anucene.2021.108745] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
2
Aboanber AE, Nahla AA, El-Mhlawy AM, Maher O. An efficient exponential representation for solving the two-energy group point telegraph kinetics model. ANN NUCL ENERGY 2022. [DOI: 10.1016/j.anucene.2021.108698] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
3
Novel solution to the fractional neutron point kinetic equation using conformable derivatives. ANN NUCL ENERGY 2021. [DOI: 10.1016/j.anucene.2021.108407] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
4
Gordon T, Cooling C, Williams M, Eaton M. Numerical comparison of mathematical and computational models for the simulation of stochastic neutron kinetics problems. ANN NUCL ENERGY 2021. [DOI: 10.1016/j.anucene.2021.108161] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
5
Espinosa-Martínez EG, François JL, Martin-del-Campo C, Maleki Moghaddam N. Time-space fractional neutron point kinetics: Theory and simulations. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2020.107448] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
6
Polo-Labarrios M, Quezada-García S, Espinosa-Paredes G, Ortiz-Villafuerte J. Assessment of the fractional neutron point kinetic equation to simulate core transients with Newtonian temperature feedback. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2019.107197] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
7
Novel numerical solution to the fractional neutron point kinetic equation in nuclear reactor dynamics. ANN NUCL ENERGY 2020. [DOI: 10.1016/j.anucene.2019.107173] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
8
Aboanber AE, Nahla AA, El Mhlawy AM. Mittag-Leffler and Padé approximations to stiff fractional two point kinetics equations. PROGRESS IN NUCLEAR ENERGY 2018. [DOI: 10.1016/j.pnucene.2017.12.002] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
9
Altahhan MR, Aboanber AE, Abou-Gabal HH. Analytical solution of the Telegraph Point Reactor Kinetics model during the cold start-up of a nuclear reactor. ANN NUCL ENERGY 2017. [DOI: 10.1016/j.anucene.2017.06.001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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