Adomian decomposition method for solving fractional nonlinear differential equations

S.A. El-Wakil, A. Elhanbaly, M.A. Abdou، In this article, we have discussed a new application of Adomian decomposition method on time fractional nonlinear fractional differential equations. Three models with fractional-time derivative of order α, 0 < α < 1 are considered and solved by means of Adomian decomposition method. The behaviour of Adomian solutions and the effects of different values of α are investigated. Numerical examples are tested to illustrate the pertinent feature of the proposed algorithm.