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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations

## Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equationsAdd to your list(s) Download to your calendar using vCal - Michael Roeckner (UniversitÃ¤t Bielefeld)
- Tuesday 25 January 2022, 10:00-10:30
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. FDE2 - Fractional differential equations 3) Michael Röckner (Bielefeld University and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing)
Joint work with Wei Liu (Jiangsu Normal University, Xuzhou) and Jos\’e Lu\’is da Silva (University of Madeira, Funchal)
Title: Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations
Abstract:
In this talk we shall identify generalized time-fractional derivatives as generators of $C_0$-operator semigroups and prove their strong dissipativity on Gelfand triples of properly in time weighted $L^2$-path spaces. In particular, the classical Caputo derivative is included as a special case. As a consequence, one obtains the existence and uniqueness of solutions to evolution equations on Gelfand triples with generalized time-fractional derivatives. These equations are of type
\begin{equation This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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