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math.FA2010
On maximal regularity and semivariation of -times resolvent families
Fu-Bo Li, Miao Li
Let and be the generator of an -times resolvent family on a Banach space . It is shown that the fractional Cauchy problem ${\bf D}_t^αu(t)…
math.AP2010
On fractional powers of generators of fractional resolvent families
Miao Li, Chuang Chen, Fu-Bo Li
We show that if generates a bounded -times resolvent family for some , then generates an analytic -times resolvent family for $β\in(0,\frac{2π-πγ}{2π-…