, Volume 15, Issue 2, pp 232-243
Date: 18 Mar 2012

Existence and uniqueness results for a fractional evolution equation in Hilbert space

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Abstract

The existence and uniqueness of the solution of a fractional evolution equation with the Riemann-Liouville fractional derivative of order α ∈ (0, 1) is studied in Hilbert space, based on the theory of sums of accretive operators. The results are applied to some subdiffusion problems.