Fractional calculus is a generalised form of the integerorder calculus. While an integerorder derivative is a local operator, a fractional derivative is a nonlocal 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 nonlocal calculus. Realworld applications of nonlocal 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/fcseminars
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.
 09 August to 11 October 2024 : general fractionalcalculus operators and fractional inverse problem
 18 October to 06 December 2024 : Numerical analysis, methods and singular integral computation
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 27 October 2024, thus the clock shifts by one hour.
 31 March to 27 Oct. 2024 : Central Eurpoean Summer Time (CEST)
 27 Oct. onwards : Central Eurpoean Time (CET)
Best viewed in Desktop mode
Date (DD/MM/YYYY) 
Time (CET/CEST, Rome/Paris) 
Speaker 
Title 
25 / 01 / 2023  14:0015:00 
Arran Fernandez (Eastern Mediterranean University) 
Fractional differential equations: initialisation, singularity, and dimensions 
03 / 05 / 2024 
14:3015:30 
Yuri Luchko (Berlin University of Applied Sciences and Technology) 
The general Fractional Calculus operators with the Sonin kernels: Basic properties, applications, and history of origins 
10 / 05 / 2024 
14:3015:30 
Francesco Mainardi (University of Bologna and INFN) 

17 / 05 / 2024  14:3015:30 
Virginia Kiryakova (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences) 

24 / 05 / 2024  14:3015:30 
Fujihiro Hamba (Institute of Industrial Science, University of Tokyo) 
Analysis and Modeling of Nonlocal Eddy Diffusivity in Turbulent Flows 
31 / 05 / 2024  15:0016:00 
Diego delCastilloNegrete (Oak Ridge National Laboratory, USA) 
Fractional diffusion models of nonlocal turbulent transport in plasmas and fluids 
07 / 06 / 2024  15:0016:00^{##} 
Mohsen Zayernouri^{##} (Michigan State University) 

07 / 06 / 2024  16:0017:00^{##} 
Eric J. Parish^{##} (Sandia National Laboratory) 

14 / 06 / 2024  15:0016:00 
Federico Nespoli (Princeton Plasma Physics Laboratory) 
Hyperdiffusion of dust particles in a turbulent tokamak plasma 
21 / 06 / 2024 
15:0016:00^{##} 
Daniel Boutros^{##} (University of Cambridge) 
Phase transitions in the fractional threedimensional NavierStokes equations 
21 / 06 / 2024  16:0017:00^{##} 
Pavan Pranjivan Mehta^{##} (SISSA, International School of Advanced Studies, Italy) 
Fractional NavierStokes Equations 
28 / 06 / 2024  15:0016:00 
Kai Diethelm 
Efficient Algorithms for Computing Fractional Integrals 
05 / 07 / 2024  15:0016:00 
Luisa Beghin (Sapienza University, Rome) 
Stochastic processes on infinitedimensional spaces and fractional operators 
12 / 07 / 2024  15:0016:00 
Enrico Scalas (Sapienza University of Rome, Italy) 
Fundamental solution of the spacetime fractional diffusion equation using Monte Carlo simulations of CTRWs 
19 / 07 / 2024  15:0016:00^{##} 
Ralf Metzler^{##} (Institute of Physics & Astronomy, University of Potsdam, 14476 Potsdam, Germany) 
Fractional Brownian motion with time and spacedependent Hurst exponent 
19 / 07 / 2024  16:0017:00^{##} 
Mirko D'Ovidio^{##} (Dept. of Basic and Applied Sciences for Engeenering / Sapienza University of Rome) 

26 / 07 / 2024  15:0016:00 
Michael Röckner (Bielefeld University, Germany) 
Nonlinear Fokker–Planck equations with fractional Laplacian and McKean–Vlasov SDEs with Lèvy–Noise 
02 / 08 / 2024  15:0016:00 
Bruno Toaldo (University of Turin) 

09 / 08 / 2024  15:0016:00 
Anatoly N. Kochubei (Institute of Mathematics, National Academy of Sciences of Ukraine) 
DiscreteTime General Fractional Calculus 
16 / 08 / 2024  15:0016:00 
Vassili Kolokoltsov (University of Warwick, Coventry, United Kingdom) 
Rates of convergence of CTRWs to generalised fractional evolutions 
23 / 08 / 2024  15:0016:00 
Arran Fernandez (Eastern Mediterranean University, N. Cyprus) 
General kernels and parametrised families: in search of semigroup properties 
30 / 08 / 2024  15:0016:00 
Hafiz Muhammad Fahad (School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan) 

06 / 09 / 2024  15:0016:00 
Rudolf Hilfer (ICP, Universität Stuttgart, Allmandrng 3, 70569 Stuttgart, Germany) 
Fractional Calculus for Distributions 
13 / 09 / 2024 
15:0016:00 
Karel Van Bockstal (Ghent University, Belgium) 
Inverse source problems for fractional diffusion equations 
20 / 09 / 2024 
15:0016:00 
Ravshan Ashurov (Institute of Mathematics, Academy of Science of Uzbekistan) 
Inverse Problems of Determining the Order of Fractional Derivatives in Partial Derivative Equations 
27 / 09 / 2024 
15:0016:00 
Jaan Janno (Tallinn University of Technology) 
A method to handle identification problems with unknown history and its application to determination of parameters of generalized fractional diffusion equations 
04 / 10 / 2024  15:0016:00 
Masahiro Yamamoto (The University of Tokyo) 
Uniqueness and stability results for inverse problems for timefractional diffusionwave equations 
11 / 10 / 2024  15:0016:00 
Barbara Kaltenbacher (University of Klagenfurt) 
Coefficient identification in a spacefractional equation with Abel type operators 
18 / 10 / 2024 
16:0017:00^{$$} 
Weihua Deng^{$$} (Lanzhou University, China) 

25 / 10 / 2024 
16:0017:00^{$$} 
Yue Yu^{$$} (Lehigh University) 

01 / 11 / 2024 
13:0014:00^{$$} 
Changpin LI^{$$} (Shanghai University)


08 / 11 / 2024 
15:0016:00 
Lehel Banjai (HeriotWatt University) 
Numerical methods for the spectral fractional Helmholtz equation 
15 / 11 / 2024 
15:0016:00^{##} 
Erdogan Madenci^{##} (University of Arizona, USA) 

15 / 11 / 2024 
16:0017:00^{##} 
Roberto Garrappa^{##} (University of Bari, Italy) 

22 / 11 / 2024 
15:0016:00^{##} 
Zhongqiang Zhang^{##} (Worcester Polytechnic Institute) 
Dealing with the singularity of fractional Laplacian with spectral methods 
22 / 11 / 2024 
16:0017:00^{##} 
Pablo Seleson^{##} (Oak Ridge National Laboratory) 
TBA 
29 / 11 / 2024 
15:0016:00 
Christian Glusa (Sandia National Labs) 
Scalable methods for nonlocal models 
06 / 12 / 2024 
15:0016:00 
Hong Wang (Department of Mathematics, University of South Carolina) 
Fractional PDEs for anomalous transport in porous media: model, analysis, discretization, and optimal control 
^{##} 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