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Analytical solution of the linear fractional differential equation by Adomian decomposition method. (English) Zbl 1132.26313

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:

26A33 Fractional derivatives and integrals
65L05 Numerical methods for initial value problems involving ordinary differential equations
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