4.7 Article

Solving a system of nonlinear fractional differential equations using Adomian decomposition

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ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2005.10.017

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system of nonlinear fractional differential equations; Adomian decomposition; Adomian polynomials; Caputo fractional derivative; fractional integral

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Adomian decomposition method has been employed to obtain solutions of a system of nonlinear fractional differential equations: D-alpha i y(i) (x) = Ni (x, y(1),(...)y(n)), y(i)((k))(0) = c(k)(i), 0 <= k <=[alpha(i)], 1 <= i <= n and D-alpha i denotes Caputo fractional derivative. Some examples are solved as illustrations, using symbolic computation. (c) 2005 Elsevier B.V. All rights reserved.

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