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Space Dependent Variable Order Fractional Master and Diffusion Equations: Anomalous Aggregation of Particles

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FD2W01 - Deterministic and stochastic fractional diļ¬€erential equations and jump processes

In this talk, we formulate various space-dependent variable-order fractional master and diffusion equations to model the clustering of particles in physics and biology.  We discuss the asymptotic representation of the solution of the variable-order fractional master and diffusion equations. We identify a new advection term that causes ultraslow spatial aggregation of subdiffusive particles due to dominance over the standard advection and diffusion terms in the long-time limit. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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