Spectrum behavior for the nonlinear fractional point reactor kinetics model
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[1] F. Mainardi. Fractional Calculus , 2018, Fractional Calculus.
[2] Gilberto Espinosa-Paredes,et al. Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics , 2017 .
[3] V. Vyawahare,et al. On the feedback stability of linear FNPK equations , 2017 .
[4] Abdallah A. Nahla,et al. Picard iteration and Padé approximations for stiff fractional point kinetics equations , 2017, Appl. Math. Comput..
[5] A. Nahla. Analytical solution of the fractional point kinetics equations with multi-group of delayed neutrons during start-up of a nuclear reactor , 2017 .
[6] G. Espinosa-Paredes,et al. Source term in the linear analysis of FNPK equations , 2016 .
[7] A. Aboanber,et al. A novel fractional technique for the modified point kinetics equations , 2016 .
[8] M. Vilhena,et al. Solution of the point reactor kinetics equations with temperature feedback by the ITS2 method , 2016 .
[9] Gilberto Espinosa-Paredes,et al. Analysis of the fractional neutron point kinetics (FNPK) equation , 2016 .
[10] Santanu Saha Ray,et al. Numerical Analysis with Algorithms and Programming , 2016 .
[11] A. Aboanber,et al. Formulation of a point reactor kinetics model based on the neutron telegraph equation , 2016 .
[12] A. Aboanber,et al. Comment on the paper: Espinosa-Parrdes, et al., 2011. Fractional neutron point kinetics equations for nuclear reactor dynamics. Ann. Nucl. Energ. 38, 307–330 , 2016 .
[13] S. Ray. A novel method for travelling wave solutions of fractional Whitham–Broer–Kaup, fractional modified Boussinesq and fractional approximate long wave equations in shallow water , 2015 .
[14] Mohammed Al-Smadi,et al. A general form of the generalized Taylor's formula with some applications , 2015, Appl. Math. Comput..
[15] T. Kaczorek,et al. Fractional Differential Equations , 2015 .
[16] A. Aboanber,et al. A novel mathematical model for two-energy groups of the point kinetics reactor dynamics , 2014 .
[17] Alejandro Nuñez-Carrera,et al. Fractional neutron point kinetics equation with Newtonian temperature feedback effects , 2014 .
[18] A. Patra,et al. Numerical simulation for solving fractional neutron point kinetic equations using the multi-step differential transform method , 2014 .
[19] Vishwesh A. Vyawahare,et al. Analysis of Fractional-order Point Reactor Kinetics Model with Adiabatic Temperature Feedback for Nuclear Reactor with Subdiffusive Neutron Transport , 2014, SIMULTECH.
[20] B. Ganapol,et al. A highly accurate technique for the solution of the non-linear point kinetics equations , 2013 .
[21] B. Ganapol,et al. The solution of the point kinetics equations via converged accelerated Taylor series (CATS) , 2012 .
[22] A. Nahla,et al. An efficient technique for the point reactor kinetics equations with Newtonian temperature feedback effects , 2011 .
[23] Xiao-jun Yang. Generalized Local Fractional Taylor's Formula with Local Fractional Derivative , 2011, 1106.2459.
[24] G. Espinosa-Paredes,et al. Fractional neutron point kinetics equations for nuclear reactor dynamics , 2011 .
[25] E. Zayed,et al. Solution of the nonlinear point nuclear reactor kinetics equations , 2010 .
[26] K. Diethelm. The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type , 2010 .
[27] A. Aboanber. Exact solution for the non-linear two point kinetic model of reflected reactors , 2009 .
[28] A. Aboanber,et al. Computation accuracy and efficiency of a power series analytic method for two- and three- space-dependent transient problems , 2009 .
[29] A. Aboanber,et al. Solution of two-point kinetics equations for reflected reactors using Analytical Inversion Method (AIM) , 2009 .
[30] E.-G. Espinosa-Martínez,et al. Constitutive laws for the neutron density current , 2008 .
[31] S. Momani,et al. A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula , 2008 .
[32] R. Gorenflo,et al. Fractional Calculus: Integral and Differential Equations of Fractional Order , 2008, 0805.3823.
[33] Zaid M. Odibat,et al. Generalized Taylor's formula , 2007, Appl. Math. Comput..
[34] S. Momani,et al. Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order , 2006 .
[35] Hossein Jafari,et al. Adomian decomposition: a tool for solving a system of fractional differential equations , 2005 .
[36] M. Kinard,et al. Efficient numerical solution of the point kinetics equations in nuclear reactor dynamics , 2004 .
[37] A. Aboanber. An efficient analytical form for the period-reactivity relation of beryllium and heavy-water moderated reactors , 2003 .
[38] A. Aboanber,et al. Solution of the point kinetics equations in the presence of Newtonian temperature feedback by Padé approximations via the analytical inversion method , 2002 .
[39] A. Aboanber,et al. Generalization of the analytical inversion method for the solution of the point kinetics equations , 2002 .
[40] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[41] Francesco Mainardi,et al. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics , 2012, 1201.0863.
[42] Margarita Rivero,et al. On a Riemann–Liouville Generalized Taylor's Formula , 1999 .
[43] Hari M. Srivastava,et al. The exact solution of certain differential equations of fractional order by using operational calculus , 1995 .