Advantages of the fractional models in dealing with real world problems

Istanbul, Turkey, October 8-12, 2018

The five-day Training school that took place in the Istanbul Gelisim University, Avcilar Campus, Engineering and Architecture Faculty, Istanbul, Turkey and was organized by Prof. Dumitru Baleanu brought together top international specialists from diverse countries (members of our COST Action) and through active participation of the Trainees also initiated fruitful collaboration in the field of fractional dynamics focusing on finding new analytical and numerical methods as well as techniques to model the complexity of the dynamics of some real-world systems.

The Training School was providing proves on the advantage of using models based on fractional calculus, contributed to the identification of the unknown phenomena and the stability of the fractional tumor models. New software for solving fractional differential equations and fractional discrete equations was provided. Furthemore, the discussion on optimal control theory took place providing a powerful tool to link biological, mechanical or physical requirements coming from the system under investigation to the required mathematical objectives. With the help of a very recently established fractional derivative the working plan for example control problems were designed.

By July 31, there were 139 applications to be a Trainee at the Training School. Thank you all very much for your interest in our activitites. However, not all of you followed the instructions fully and did not send your Applicant letter to the Local Organizer. This fact made the final selection of the Trainees a bit easiser, but still have to select the only 20 Trainees. The final group of Trainees was intivited and participated at the Training School and the lectures provided by th eInvited Trainees as listed below, where also those, not being selected may still download the lecture notes.

Lecture notes of the Invited Trainers

Prof. Dumitru Baleanu (Turkey): Beyond the classical fractional calculus: theory and experimental evidences
Prof Emmanuel Hanert (Belgium): Application of fractional models to life-science problems: Examples from ecology and pharmacokinetics
Prof. Sverre Holm (Norway): Fractional models in wave propagation and applications in medical imaging and acoustics
Prof. S Hassan HoseinNia (Netherlands): Application of fractional order Control in precision mechatronics
Prof. Juergen Kurths (Germany): Synchronization of coupled complex systems (not approved)
Prof. Guido Maione (Italy): Fractional-order modeling and control in common rail injection systems
Prof. Piotr Ostalczyk (Poland): Vector-matrix description of the variable fractional-order linear systems
Prof. Milan Rapaic (Serbia): Real-time identification and parameter estimation in fractional and irrational linear systems
Assoc. Prof. Dr. Celaleddin Yeroglu (Turkey): Fractional Order Model Reference Adaptive Control Applications
Assoc. Prof. Dr. Dorota Mozyrka (Poland): Discrete-time systems with the Caputo-type fractional order operator – stability issues and applications in consensus modelling

Prof. Dumitru Baleanu as Trainer, also serving as Local Organzed – the main hard worker (thank you very much)


View of the audience