Impulsive integrodifferential equations involving nonlocal initial conditions.
The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm
We study the local and global existence of mild solutions to a class of semilinear fractional Cauchy problems in the α-norm assuming that the operator in the linear part is the generator of a compact analytic C₀-semigroup. A suitable notion of mild solution for this class of problems is also introduced. The results obtained are a generalization and continuation of some recent results on this issue.
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