Abstract
In this work, a fractional constitutive law (FCL) for the average neutron motion in nuclear reactors is presented. The FCL has a fractional exponent of the differential operator, which is the new unknown. The application of the FCL in the neutron balance equation leads to the fractional diffusion equation. The fractional exponent was evaluated using detrended fluctuation analysis (DFA). The DFA technique is based on the random walk theory and was applied to a power signal of the Forsmark Boiling Water Nuclear Reactor. The results show that the fractional exponent is between 0.1881 and 0.9399 for stationary operation, load changes and unstable conditions.
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