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We study he asymptotic behaviour as t → + ∞ of the solutions of an abstract fractional equation u = u0 + ∂ −α Au + g, 1 < α < 2, where A is a linear operator of sectorial type. We also show that a discretization in time of this equation based on backward Euler convolution quadrature inherits this behaviour. 1. Introduction. In
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Eduardo Cuesta (2007) studied this question.