Mohammad Zurigat, Analytical approximate solutions of fractional differential equations by Laplace Adomian decomposition method, Analele Universitatii Oradea Fasc. Matematica, Tom XVI, (2) (2010), 173-184.

This paper presents a numerical technique for solving fractional differential equations by employing the Laplace Adomian decomposition method (LADM). This method was applied in four examples to solve linear and nonlinear fractional differential equations which were presented as fractional initial value problems. The fractional derivatives are described in the Caputo sense. The results reveal that the method is effective and convenient for solving linear and nonlinear differential equations of fractional order.