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An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method. (English) Zbl 1082.65562

Summary: The aim of the present analysis is to apply the Adomian decomposition method to the solution of a nonlinear fractional differential equation. Finally, the solution obtained by the decomposition method has been numerically evaluated and presented in the form of tables and then compared with those obtained by truncated series method. A good agreement of the results is observed.

MSC:

65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
26A33 Fractional derivatives and integrals
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