The aim of the present analysis is to apply the Adomian decomposition method for the solution of a fractional differential equation as an alternative method of Laplace transform.
S. Saha Ray. R. K. Bera. "Solution of an extraordinary differential equation by Adomian decomposition method." J. Appl. Math. 2004 (4) 331 - 338, 26 September 2004. https://doi.org/10.1155/S1110757X04311010