Abstract & Overview
This paper presents a numerical technique for solving fractional di¤erentialequations by employing the multi-step Laplace Adomian decomposition method (MLADM).The proposed scheme is only a simple modi.cation of the Adomian decomposition method,in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for.nding accurate approximate solutions to the corresponding problems. The MLADM isapplied for four problems to solve non-linear fractional di¤erential equations which werepresented as fractional initial value problems. The fractional derivatives are describedin the Caputo sense. Figurative comparisons between the MLADM and the classicalfourth-order Runge.Kutta method (RK4) revealed that MLADM is more e¤ective andconvenient.