Fractional calculus is a generalised form of the integer-order calculus. While an integer-order derivative is a local operator, a fractional derivative is a non-local operator. The notion of Brownian motion is extended to admit Levy stable processes in the case of fractional diffusion. Many different operators have been described as fractional derivatives and integrals, with different properties and behaviours, and there are also further generalisations within non-local calculus. Real-world applications of non-local models can be found in turbulence, viscoelasticity, fracture mechanics, economics, electrical circuits, and plasma physics. Until recently, the theory and applications of fractional operators and equations did not receive much attention, so that many fundamental questions remain unanswered.

This seminar series is intended to provide deep knowledge on all aspects of fractional calculus, from analytical mathematics to numerical simulations to modelling applications. Starting in May 2024, we aim to have one talk every week, from a variety of experts in different topics related to fractional calculus.

Organisers : 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

YouTube Channel: https://www.youtube.com/@FractionalCalculusSeminar

Mailing List (subscribe/unsubscribe) : https://lists.sissa.it/mailman/listinfo/fc-seminars

All times are quoted in local timezone of Rome, ITALY

Zoom meeting links will be public on respective talk's page - one hour before the talk.

Special focus sessions:

• 24 May to 21 June 2024 : fractional/nonlocal modelling of turbulence.
• 05 July to 02 August 2024 : stochastic processes / probability theory for fractional PDEs.

List of Talks

*** indicates two or more talks, scheduled on the same day.

*** indicates two or more talks, scheduled on the same day.