Error estimate of the series solution to a class of nonlinear fractional differential equations

In this paper, two different formulas for the accelerated Adomian polynomials are considered. The discussion demonstrates that both formulas are identically the same and provide the fastest rate of convergence for the nonlinear term. One of the two formulas, suggested by the author, is used directly to estimate the maximum absolute truncated error of the Adomian series solution.