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 2025, we aim to have one talk every week, from a variety of experts in different topics related to fractional calculus.

This year's seminar series is a continuation of previous year's fractional calculus seminars (2024), where all the talks are freely available on our dedicated YouTube Channel. 

Please note, the mailing list and YouTube Channel is the same as previous year.

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

SISSA Liasion : Gianluigi Rozza* (grozza@sissa.it)

* 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

Previous Year's Seminars (2024) : https://mathlab.sissa.it/fractional-calculus-seminars

Special focus sessions:

• 09 May to 06 June 2025 (6 talks): FC and special functions

List of Talks

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

^$$ indicates talks at a different time, other than our usual time of 15:00 Rome

All times are quoted in local timezone of Rome, ITALY

Note : Summer time ends in ITALY on 26 October 2025, thus the clock shifts by one hour.

• 30 March to 26 Oct. 2025 : Central European Summer Time (CEST)
• 26 Oct. onwards : Central European Time (CET)

Best viewed in Desktop mode

All times are quoted in local timezone of Rome, ITALY

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

^$$ indicates talks at a different time, other than our usual time of 15:00 Rome