Speaker: Daniel Han, University of New South Wales

Time : 10:00 - 11:00 CEST (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

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Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords: Variable order fractional diffusion, Riemann-Liouville time-fractional derivative

Abstract: I will present a derivation of the variable order time-fractional diffusion equation from the diffusion limit of a random walk [1], its asymptotic solution [2], and its exact solution in Laplace space [3]. The asymptotic first passage time statistics will also be derived [4], showing the appearance of a logarithmic correction factor

Biography: Daniel Han completed his PhD in Applied Mathematics and Cell Biology at the University of Manchester. After a postdoctoral fellowship at the University of Cambridge, he received a permanent position in the School of Mathematics and Statistics at the University of New South Wales, where he is now a Senior Lecturer. He works at the interface of stochastic processes, fractional calculus, and biology.

Bibliography

[1] Angstmann, C.N., Han, D.S., Henry, B.I., Huang, B.Z. and Xu, Z., 2025. The Global Diffusion Limit for the Space Dependent Variable-Order Time-Fractional Diffusion Equation. arXiv preprint arXiv:2504.18787.

[2] Fedotov, S. and Han, D., 2019. Asymptotic behavior of the solution of the space dependent variable order fractional diffusion equation: Ultraslow anomalous aggregation. Physical Review Letters, 123(5), p.050602.

[3] Roth, P. and Sokolov, I.M., 2020. Inhomogeneous parametric scaling and variable-order fractional diffusion equations. Physical Review E, 102(1), p.012133.

[4] Li, W. and Han, D.S., 2026. First Passage Times for Variable-Order Time-Fractional Diffusion. arXiv preprint arXiv:2604.13852.