A note on Krylov methods for fractional evolution problems. (English) Zbl 1272.65061
Summary: The solution of linear fractional-order differential problems is addressed. For this purpose, rational approximations obtained by projections on resolvent Krylov subspaces are considered. Their convergence properties in Hilbert spaces are investigated.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
| 65L20 | Stability and convergence of numerical methods for ordinary differential equations |
Keywords:
fractional differential equations; initial value problems; Krylov subspace methods; Mittag-Leffler functions; rational approximation; convergenceReferences:
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