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- W2036788704 abstract "In this paper we present the generalized Adomian–Rach theorem and the generalized Rach–Adomian–Meyers modified decomposition method for solving multi-order nonlinear fractional ordinary differential equations. We consider different classes of initial value problems for nonlinear fractional ordinary differential equations, including the case of real-valued orders and another case of rational-valued orders, which are solved by the present method. This method can treat any analytic nonlinearity. The coefficients of the solution in the form of a generalized power series are determined by a convenient recurrence scheme, which does not involve integration operations compared with the classic Adomian decomposition method." @default.
- W2036788704 created "2016-06-24" @default.
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- W2036788704 date "2012-05-01" @default.
- W2036788704 modified "2023-10-16" @default.
- W2036788704 title "Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach–Adomian–Meyers modified decomposition method" @default.
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- W2036788704 doi "https://doi.org/10.1016/j.amc.2012.01.063" @default.
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