A novel fractional technique for the modified point kinetics equations ✩
Aboanber, A., Nahla, A. (2016). A novel fractional technique for the modified point kinetics equations ✩. EKB Journal Management System, 24(4), 666-671. doi: 10.1016/j.joems.2016.02.001
Ahmed E. Aboanber; Abdallah A. Nahla. "A novel fractional technique for the modified point kinetics equations ✩". EKB Journal Management System, 24, 4, 2016, 666-671. doi: 10.1016/j.joems.2016.02.001
Aboanber, A., Nahla, A. (2016). 'A novel fractional technique for the modified point kinetics equations ✩', EKB Journal Management System, 24(4), pp. 666-671. doi: 10.1016/j.joems.2016.02.001
Aboanber, A., Nahla, A. A novel fractional technique for the modified point kinetics equations ✩. EKB Journal Management System, 2016; 24(4): 666-671. doi: 10.1016/j.joems.2016.02.001

A novel fractional technique for the modified point kinetics equations ✩

Journal of the Egyptian Mathematical Society
Volume 24, Issue 4, 2016, Pages 666-671    PDF (1.37 M)
DOI: 10.1016/j.joems.2016.02.001
Authors
Ahmed E. Aboanber; Abdallah A. Nahla
Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt
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.
Keywords
Point kinetics equations; Multi-group of delayed neutrons; Relaxation time effects; Riemann–Liouville definition; Fractional calculus
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