Fractional Calculus (FC) is a branch of mathematical analysis that studies real number powers or complex number powers of differential and integral operators (calculus of noninteger order). FC was developed by pure mathematicians in the middle of the XIX century. Since the nineties of the XX century, FC has been rediscovered and applied in an increasing number of fields, namely in several areas of physics, control engineering, and signal processing. Fractional operators are nonlocal, therefore they are suitable for constructing models possessing memory. This gives several possible applications, e.g., to the FC of Variations in describing nonlocal properties of physical systems in mechanics.
Time scale calculus was introduced in 1998 by Stefan Hilger. This new theory unifies and extends continuous and discrete calculus into a uniformed theory, and offers a formalism for studying hybrid discrete-continuous dynamical systems. Dynamic equations on time scales suggests the possibility of dramatic improvements to engineered dynamical systems in which the underlying time domain can be designed. Such applications include distributed control networks, used widely in the aerospace and automotive industries, switched systems, and conditional duration models used in economics.
The two fields, fractional and time scale calculus, are currently of considerable interest to many researchers, and their theories and formulations have been applied in many fields. Recently, several attempts have been done to join the two subjects, developing a fractional calculus on time scales. The subject is still much evolving, and contributions joining the two areas are particularly welcome.
The following speakers have confirmed their participation:
| Ricardo Almeida | University of Aveiro | Aveiro, Portugal | ricardo.almeida@ua.pt |
| Zbigniew Bartosiewicz | Bialystok University of Technology | Bialystok, Poland | z.bartosiewicz@pb.edu.pl |
| Nuno R. O. Bastos | Polytechnic Institute of Viseu | Viseu, Portugal | nbastos@estv.ipv.pt |
| Martin Bohner | Missouri S&T | Rolla, MO 65401 | bohner@mst.edu |
| Artur M. C. Brito da Cruz | Polytechnic Institute of Setubal | Setubal, Portugal | artur.cruz@estsetubal.ips.pt |
| Rui Ferreira | Lusophone University | Lisbon, Portugal | ruiacferreira@ua.pt |
| Ewa Girejko | Bialystok University of Technology | Bialystok, Poland | e.girejko@pb.edu.pl |
| Billur Kaymakcalan | Cankaya University | Ankara, Turkey | billur@cankaya.edu.tr |
| Tomas Kisela | Brno University of Technology | Brno, Czech Republic | kisela@fme.vutbr.cz |
| Agnieszka B. Malinowska | Bialystok University of Technology | Bialystok, Poland | a.malinowska@pb.edu.pl |
| Natalia Martins | Universidade de Aveiro | Aveiro, Portugal | natalia@ua.pt |
| Luisa Morgado | Universidade de Tras-os-Montes e Alto Douro | Vila Real, Portugal | luisam@utad.pt |
| Dorota Mozyrska | Bialystok University of Technology | Bialystok, Poland | d.mozyrska@pb.edu.pl |
| Manuel D. Ortigueira | Universidade Nova de Lisboa | Lisbon, Portugal | mdo@fct.unl.pt |
| Ewa Pawluszewicz | Bialystok University of Technology | Bialystok, Poland | e.pawluszewicz@pb.edu.pl |
| Moulay Rchid Sidi Ammi | Moulay Ismail University | Errachidia, Morocco | sidiammi@ua.pt |
| Delfim F. M. Torres | Universidade de Aveiro | Aveiro, Portugal | delfim@ua.pt |