Maximal L-p-regularity for fractional differential equations on the line

摘要

We characterize the L-p-maximal regularity of an abstract fractional differential equation with delay on the Lebesgue spaces. The method is based on the theory of operator-valued Fourier multipliers and weighted Sobolev spaces on the line. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim