Solving a system of nonlinear fractional differential equations using Adomian decomposition

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Abstract

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,0k[αi],1in and Dαidenotes Caputo fractional derivative.

Some examples are solved as illustrations, using symbolic computation.

Keywords

System of nonlinear fractional differential equations
Adomian decomposition
Adomian polynomials
Caputo fractional derivative
Fractional integral

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