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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Fractional Differential Equations Arising from Stochastic Dynamical Systems

## Fractional Differential Equations Arising from Stochastic Dynamical SystemsAdd to your list(s) Download to your calendar using vCal - Jinqiao Duan (Illinois Institute of Technology)
- Monday 25 April 2022, 14:00-15:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. FDE2 - Fractional differential equations Complex dynamical systems are often under random fluctuations. The noisy fluctuations may be Gaussian or non-Gaussian, which are usually modeled by Brownian motion or α-stable Levy motion, respectively. Stochastic differential equations are appropriate mathematical models for these systems. At a certain ‘macroscopic’ level, non-Gaussianity of the noise manifests as a fractional or nonlocal operator, which facilitates the investigation of stochastic dynamical behaviours. The speaker will overview recent advances in deterministic methods for non-Gaussian stochastic dynamical systems, including mean exit time, escape probability, and most probable transition pathways. These methods involve fractional/nonlocal differential equations with singular integral operators. 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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