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 |
Keywords:
numerical examples; Adomian decomposition method; Fractional differential equation; Fractional derivative; Fractional integralReferences:
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