LIL_nc

Fast grouped implicit quadratic LIL solver for non-commensurate Caputo fractional differential systems

LIL_nc is a fast memory-safe MATLAB solver for systems of non-commensurate Caputo fractional differential equations with orders 0<αi<10<\alpha_i<10<αi<1. The method is based on an implicit quadratic Lagrange Interpolation at the Last step (LIL) predictor-corrector scheme. The nonlinear corrector is solved by fixed-point iteration. The routine returns the numerical solution, the number of iterations per step, and information about the detected order groups.