Computational and numerical analysis of the fractional three-components nonlinear Schrödinger equation with singular and non-singular kernels

This work offer a computational approach to the coupled nonlinear Shrödinger equation (CNLSE) by utilizing fractional operators and double Laplace Adomian decomposition method (DLTADM). Three various fractional operators i.e Caputo, Caputo–Fabrizio (CF) and Atangana–Baleanu Caputo (ABC) are used for studying the approximate solution of the CNLSE. Dynamics of solutions are provided via graphical examples that depict system behavior. Graphs of the deduced results portray dark soliton dynamics for various fractional values. The robustness of the applied approach is studied via comparative analysis of error estimations between exact and derived results via tables and 2D graphs.