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Analytical solution of the linear fractional differential equation by Adomian decomposition method

✍ Scribed by Yizheng Hu; Yong Luo; Zhengyi Lu

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 161 KB
Volume: 215
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.04.005

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✦ Synopsis

In this paper, 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.

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