Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2008.1079.1084MomaniShaher K. JaradatOmar Rabha Ibrahim 6200886This study presents numerical methods-fractional difference and Adomian decomposition-for solution of a dynamic system containing fractional derivative of order α, 0<α<=1. The fractional derivative is described in the Caputo sense. The Adomian decomposition method provides the solution in the form of a convergent power series with easily computable components. Then the diagonal Pade approximants are effectively used in the analysis to capture the essential behavior of the solution. The presented schemes are introduced in a general way so that they can be used in applied sciences.]]>Abbaoui, K. and Y. Cherruault,199529103108Abbaoui, K. and Y. Cherruault,199428103109Adomian, G.,1988135501544Adomian, G.,19941st Edn.,Pages: 352Pages: 352Baker, G.A.,19751st Edn.,Boyd, J.P.,199711299303Burden, R.L. and J.D. Faires,19931st Edn.,Cherruault, Y.,198983138Cherruault, Y. and G. Adomian,199318103106Grigorenko, I. and E. Grigorenko,200391034101034104He, J.H.,19981998pp: 288291He, J.H.,19981676973He, J.H.,19981675768He, J.H.,199934699708He, J.H.,2000114115123He, J.H., Y.Q. Wan and Q. Guo,200432629632Mainardi, F.,19971997pp: 291-348pp: 291-348Momani, S.,200415967979Oldham, K.B. and J. Spanier,19741st Edn.,Podlubny, I.,19991st Edn.,Podlubny, I.,20025367386Repaci, A.,199033539Wazwaz, A.M.,19991001325