The paper deals with evolution problems involving time derivatives of fractional order α, with 1 < α ≤ 2. The solutions are expressed in terms of operator Mittag-Leffler functions. The action of such operator functions is approximated by rational Krylov methods whose convergence features are investigated.

Shift-and-invert Krylov methods for time-fractional wave equations

MORET, IGOR
2014-01-01

Abstract

The paper deals with evolution problems involving time derivatives of fractional order α, with 1 < α ≤ 2. The solutions are expressed in terms of operator Mittag-Leffler functions. The action of such operator functions is approximated by rational Krylov methods whose convergence features are investigated.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2808525
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