Solving a system of nonlinear fractional differential equations using Adomian decomposition

Adomian decomposition method has been employed to obtain solutions of a system of nonlinear fractional differential equations: D α i y i ( x ) = N i ( x , y 1 , … , y n ) , y i ( k ) ( 0 ) = c k i , 0 ⩽ k ⩽ [ α i ] , 1 ⩽ i ⩽ n and D α i denotes Caputo fractional derivative. xamples are solved as illustrations, using symbolic computation.