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Zbl 1099.65137
Jafari, Hossein; Daftardar-Gejji, Varsha
Solving a system of nonlinear fractional differential equations using Adomian decomposition.
(English)
[J] J. Comput. Appl. Math. 196, No. 2, 644-651 (2006). ISSN 0377-0427

Summary: The Adomian decomposition metbod is employed to obtain solutions of a system of nonlinear fractional differential equations: $$D^{\alpha_i} y_i(x)=N_i(x,y_1, \dots,y_n),\quad y_i^{(k)}(0)=c^i_k,\quad 0\le k\le [\alpha_i],\ 1\le i\le n,$$ where $D^{\alpha_i}$ denotes the Coputo fractional derivative. Some examples are solved as illustrations, using symbolic computation.
MSC 2000:
*65R20 Integral equations (numerical methods)
45J05 Integro-ordinary differential equations
26A33 Fractional derivatives and integrals (real functions)
68W30 Symbolic computation and algebraic computation

Keywords: numerical examples; Adomian decomposition method; symbolic computation

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