Solving a system of nonlinear fractional differential equations using Adomian decomposition

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摘要

Adomian decomposition method has been employed to obtain solutions of a system of nonlinear fractional differential equations:Dαiyi(x)=Ni(x,y1,…,yn),yi(k)(0)=cki,0⩽k⩽[αi],1⩽i⩽n and Dαidenotes Caputo fractional derivative.Some examples are solved as illustrations, using symbolic computation.

论文关键词:System of nonlinear fractional differential equations,Adomian decomposition,Adomian polynomials,Caputo fractional derivative,Fractional integral

论文评审过程:Received 31 August 2005, Available online 15 November 2005.

论文官网地址:https://doi.org/10.1016/j.cam.2005.10.017