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A predictor-corrector approach for the numerical solution of fractional differential equations. (English) Zbl 1009.65049
Summary: We discuss an Adams-type predictor-corrector method for the numerical solution of fractional differential equations. The method may be used both for linear and for nonlinear problems, and it may be extended to multi-term equations (involving more than one differential operator) too.

MSC:
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
26A33 Fractional derivatives and integrals
34A34 Nonlinear ordinary differential equations and systems
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