Advances in Pure Mathematics
Volume 3, Issue 8 (November 2013)
ISSN Print: 2160-0368 ISSN Online: 2160-0384
Google-based Impact Factor: 0.48 Citations
On Maximal Regularity and Semivariation of α-Times Resolvent Families* ()
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ABSTRACT
Let and A be the generator of an -times resolvent family on a Banach space X. It is shown that the fractional Cauchy problem has maximal regularity on if and only if is of bounded semivariation on .
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