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Stochastic point kinetics equations (SPKEs) are a system of It(o) stochastic differential equations whose solution has been obtained by higher-order approximation.In this study,a fractional model of SPKEs has been analyzed.The efficiency of the proposed higher-order approximation scheme has been discussed in the results section.The solutions of SPKEs in the presence of Newtonian temperature feedback have also been provided to further discuss the physical behavior of the fractional model.