A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations

作者: Kai Diethelm , Neville J. Ford , Alan D. Freed

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摘要: We discuss an Adams-type predictor-corrector method for the numericalsolution of fractional differential equations. The method may be usedboth for linear and for nonlinear problems, …

参考文章(31)
S. P. Nørsett, G. Wanner, E. Hairer, Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems Springer-Verlag New York, Inc.. ,(1993)
Carl F. Lorenzo, Initialized Fractional Calculus ,(2000)
Kai Diethelm, AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER ETNA. Electronic Transactions on Numerical Analysis [electronic only]. ,vol. 5, pp. 1- 6 ,(1997)
Francesco Mainardi, Rudolf Gorenflo, Fractional Calculus: Integral and Differential Equations of Fractional Order arXiv: Mathematical Physics. ,(2008)
Oleg Igorevich Marichev, Stefan G Samko, Anatoly A Kilbas, Fractional Integrals and Derivatives: Theory and Applications ,(1993)
Kai Diethelm, Neville J. Ford, NUMERICAL SOLUTION OF THE BAGLEY-TORVIK EQUATION ∗ Bit Numerical Mathematics. ,vol. 42, pp. 490- 507 ,(2002) , 10.1023/A:1021973025166
Kai Diethelm, Neville J. Ford, Analysis of Fractional Differential Equations Journal of Mathematical Analysis and Applications. ,vol. 265, pp. 229- 248 ,(2002) , 10.1006/JMAA.2000.7194