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SUMMARY:Exponential stability and stabilization of fractional stochastic d
 egenerate evolution equations in a Hilbert space. - Arzu Ahmadova (Eastern
  Mediterranean University)
DTSTART:20220224T153000Z
DTEND:20220224T160000Z
UID:TALK167756@talks.cam.ac.uk
DESCRIPTION:Authors: Arzu Ahmadova\, Nazim Mahmudov\, Juan J. Nieto\nAbstr
 act: In this paper\, we obtain a closed-form representation of a mild solu
 tion to the fractional stochastic degenerate evolution equation in a Hilbe
 rt space using the subordination principle and semigroup theory.&nbsp\; We
  study aforesaid abstract frational stochastic Cauchy problem with nonline
 ar state-dependent terms and show that if the Sobolev type resolvent famil
 ies describing the linear part of the model are exponentially stable\, the
 n the whole system retains this property under some Lipschitz continuity a
 ssumptions for nonlinearity. We also establish conditions for stabilizabil
 ity and prove that the fractional stochastic nonlinear Cauchy problem is e
 xponentially stabilizable when the stabilizer acts linearly on the control
  systems. Finally\, we provide applications to show the validity of our th
 eory.
LOCATION:Seminar Room 1\, Newton Institute
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