Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt
10.1016/j.joems.2016.02.001
Abstract
A fractional model for the modified point kinetics equations is derived and analyzed. An analytical method is used to solve the fractional model for the modified point kinetics equations. This methodical technique is based on the representation of the neutron density as a power series of the relaxation time as a small parameter. The validity of the fractional model is tested for different cases of step, ramp and sinusoidal reactivity. The results show that the fractional model for the modified point kinetics equations is the best representation of neutron density for subcritical and supercritical reactors.
Aboanber, A., & Nahla, A. (2016). A novel fractional technique for the modified point kinetics equations ✩. Journal of the Egyptian Mathematical Society, 24(4), 666-671. doi: 10.1016/j.joems.2016.02.001
MLA
Ahmed E. Aboanber; Abdallah A. Nahla. "A novel fractional technique for the modified point kinetics equations ✩", Journal of the Egyptian Mathematical Society, 24, 4, 2016, 666-671. doi: 10.1016/j.joems.2016.02.001
HARVARD
Aboanber, A., Nahla, A. (2016). 'A novel fractional technique for the modified point kinetics equations ✩', Journal of the Egyptian Mathematical Society, 24(4), pp. 666-671. doi: 10.1016/j.joems.2016.02.001
VANCOUVER
Aboanber, A., Nahla, A. A novel fractional technique for the modified point kinetics equations ✩. Journal of the Egyptian Mathematical Society, 2016; 24(4): 666-671. doi: 10.1016/j.joems.2016.02.001
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