Using Laplace Residual Power Series Method in Solving Coupled Fractional Neutron Diffusion Equations with Delayed Neutrons System

In this paper, a system of coupled fractional neutron diffusion equations with delayed neutrons was solved efficiently by using combination residual power series and Laplace transform techniques, the anomalous considered taking non-Gaussian case different values parameter α. The method (LRPSM) does not require differentiation, conversion, or discretization for assumed conditions, so approach is simple suitable solving higher-order differential equations. To assure theoretical results, two flux initial conditions were presented numerically, where needed Mathematica codes performed essential nuclear reactor cross-section data, results times tabulated graphically figured out. Finally, it must be noted that align Adomian decomposition method.