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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Exponential stability and stabilization of fractio
 nal stochastic degenerate evolution equations in a
  Hilbert space. - Arzu Ahmadova (Eastern Mediterra
 nean University)
DTSTART;TZID=Europe/London:20220224T153000
DTEND;TZID=Europe/London:20220224T160000
UID:TALK167756AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/167756
DESCRIPTION:Authors: Arzu Ahmadova\, Nazim Mahmudov\, Juan J. 
 Nieto\nAbstract: In this paper\, we obtain a close
 d-form representation of a mild solution to the fr
 actional stochastic degenerate evolution equation 
 in a Hilbert space using the subordination princip
 le and semigroup theory.&nbsp\; We study aforesaid
  abstract frational stochastic Cauchy problem with
  nonlinear state-dependent terms and show that if 
 the Sobolev type resolvent families describing the
  linear part of the model are exponentially stable
 \, then the whole system retains this property und
 er some Lipschitz continuity assumptions for nonli
 nearity. We also establish conditions for stabiliz
 ability and prove that the fractional stochastic n
 onlinear Cauchy problem is exponentially stabiliza
 ble when the stabilizer acts linearly on the contr
 ol systems. Finally\, we provide applications to s
 how the validity of our theory.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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