Novel numerical solution to the fractional neutron point kinetic equation in nuclear reactor dynamics

Polo-Labarrios, M.A.; Quezada–García, S.; Espinosa-Paredes, Gilberto; Franco-Pérez, Luis; Ortíz-Villafuerte, Javier

doi:10.1016/j.anucene.2019.107173

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The Integral Equation Of Chandrasekhar's Integral Equation I1

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2020

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Cited by 11 publications

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“…The merged systems of integral equations have become of great importance now in various fields of science such as electromagnetic and nuclear physics [4,6]. In this paper, we propose the more general coupled system of Urysohn Volterra-Chandrasekhar integral equations, given by…”

Section: The Integral Equation Of Chandrasekhar's Integral Equation Imentioning

confidence: 99%

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Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type

Nabil

2020

Demonstratio Mathematica

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The combined systems of integral equations have become of great importance in various fields of sciences such as electromagnetic and nuclear physics. New classes of the merged type of Urysohn Volterra-Chandrasekhar quadratic integral equations are proposed in this paper. This proposed system involves fractional Urysohn Volterra kernels and also Chandrasekhar kernels. The solvability of a coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type is studied. To realize the existence of a solution of those mixed systems, we use the Perov’s fixed point combined with the Leray-Schauder fixed point approach in generalized Banach algebra spaces.

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Section: The Integral Equation Of Chandrasekhar's Integral Equation Imentioning

confidence: 99%

“…Integral equations are an important topic in functional analysis (see, [1][2][3], for examples). They are stratified in the characterization of many real life events such as processes encountered in nuclear physics [4], heat conduction [5], electromagnetic [6] and multimedia processing [7].…”

Section: Introductionmentioning

confidence: 99%