Solving a system of nonlinear fractional differential equations using Adomian decomposition

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:196

Article

Jafari, Hossein ; Daftardar-Gejji, Varsha

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

DOI  :  10.1016/j.cam.2005.10.017

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free