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Solving a system of nonlinear fractional differential equations using Adomian decomposition. (English) Zbl 1099.65137
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:
65R20Integral equations (numerical methods)
45J05Integro-ordinary differential equations
26A33Fractional derivatives and integrals (real functions)
68W30Symbolic computation and algebraic computation
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References:
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