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 |
