Fractional Evolution Equations Governed by Coercive Differential Operators

Fu-Bo Li, Miao Li and Quan Zheng

Abstract and Applied Analysis, 2009, vol. 2009, 1-14

Abstract:

This paper is concerned with evolution equations of fractional order D ð ›¼ ð ‘¢ ( ð ‘¡ ) = ð ´ ð ‘¢ ( ð ‘¡ ) ; ð ‘¢ ( 0 ) = ð ‘¢ 0 , ð ‘¢ ′ ( 0 ) = 0 , where ð ´ is a differential operator corresponding to a coercive polynomial taking values in a sector of angle less than 𠜋 and 1 < ð ›¼ < 2 . We show that such equations are well posed in the sense that there always exists an ð ›¼ -times resolvent family for the operator ð ´ .

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:438690

DOI: 10.1155/2009/438690

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