This paper is concerned with evolution equations of fractional order ; , where is a differential operator corresponding to a coercive polynomial taking values in a sector of angle less than and . We show that such equations are well posed in the sense that there always exists an -times resolvent family for the operator .
"Fractional Evolution Equations Governed by Coercive Differential Operators." Abstr. Appl. Anal. 2009 1 - 14, 2009. https://doi.org/10.1155/2009/438690