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J. Willems

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Let the abstract fractional space–time operator (∂t+A)s be given, where s∈(0,∞) and -A:D(A)⊆X→X is a linear operator generating a uniformly bounded strongly measurable semigroup (S(t))t≥0 on a complex Banach space X. We consider the corresponding Dirichlet problem of finding u:R→ ...
A new class of fractional-order parabolic stochastic evolution equations of the form (∂t+A) γX(t)=W˙ Q(t), t∈[0,T], γ∈(0,∞), is introduced, where -A generates a C 0-semigroup on a separable Hilbert space H ...