Abstract
This paper is concerned with evolution equations of fractional orderDαu(t)=Au(t);u(0)=u0,u′(0)=0,whereAis a differential operator corresponding to a coercive polynomial taking values in a sector of angle less thanπand1<α<2. We show that such equations are well posed in the sense that there always exists anα-times resolvent family for the operatorA.
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