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Zbl 1132.26313
Hu, Yizheng; Luo, Yong; Lu, Zhengyi
Analytical solution of the linear fractional differential equation by Adomian decomposition method. (English)
[J] J. Comput. Appl. Math. 215, No. 1, 220-229 (2008). ISSN 0377-0427

Summary: We consider the $n$-term linear fractional-order differential equation with constant coefficients and obtain the solution of this kind of fractional differential equations by Adomian decomposition method. With the equivalent transmutation, we show that the solution by Adomian decomposition method is the same as the solution by the Green's function. Finally, we illustrate our result with some examples.

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)
65L05 Initial value problems for ODE (numerical methods)

Keywords: fractional derivative; fractional integral; adomian decomposition method; Green's function

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