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Jafari, Hossein; Daftardar-Gejji, Varsha

Solving a system of nonlinear fractional differential equations using Adomian decomposition. (English) Zbl 1099.65137

J. Comput. Appl. Math. 196, No. 2, 644-651 (2006).
Summary: The Adomian decomposition metbod is employed to obtain solutions of a system of nonlinear fractional differential equations: \[ D^{\alpha_i} y_i(x)=N_i(x,y_1, \dots,y_n),\quad y_i^{(k)}(0)=c^i_k,\quad 0\leq k\leq [\alpha_i],\;1\leq i\leq n, \] where \(D^{\alpha_i}\) denotes the Coputo fractional derivative. Some examples are solved as illustrations, using symbolic computation.

Cited in 84 Documents

MSC:

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
26A33 Fractional derivatives and integrals
68W30 Symbolic computation and algebraic computation

Keywords:

numerical examples; Adomian decomposition method; symbolic computation
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\textit{H. Jafari} and \textit{V. Daftardar-Gejji}, J. Comput. Appl. Math. 196, No. 2, 644--651 (2006; Zbl 1099.65137)
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References:

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