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2 Bulletin of the Polish Academy of Sciences. Technical Sciences

2 2018

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On fractional vectorial calculus

Ortigueira M. D., Machado J. T. M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2018

Vol. 66, nr 4

389--402

This paper reviews the fractional vectorial differential operators proposed previously and introduces the fractional versions of the classic Green’s, Stokes’, and Ostrogradski-Gauss’s integral theorems. The suitability of fractional derivatives for sciences and the Laplacian definition are also discussed.

Fractional Signals and Systems

Ortigueira M. D., Machado J. T. M., Ostalczyk P.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2018

Vol. 66, nr 4

385--387

The special section in the current volume of the Bulletin of the Polish Academy of Sciences, entitled “Fractional Signals and Systems”, includes selected papers from the FSS17 International Conference, which was held in Łódź, Poland on October 9–11, 2017. The founder of the conference is Manuel Duarte Ortigueira from the New University of Lisbon, Portugal. The FSS17 is yet another in a series of conferences, which had previously taken place in: 1. Caparica, Portugal, 2009 2. Coimbra, Portugal, 2011 3. Ghent, Belgium, 2013 4. Cluj-Napoca, Romania, 2015. The FSS17 conference addressed a broad spectrum of the Fractional Calculus (FC) applications in technical sciences. Main topics included the fractional-order continuous-, and discrete-time linear or non-linear fractional-order control, dynamic system identification via fractional models, fractional order filtering, as well as image processing using fractional methods. The conference’s main organizers included the Institute of Applied Computer Science (Instytut Informatyki Stosowanej Politechniki Łódzkiej), the Lodz University of Technology (Politechnika Łódzka) and the Polish Information Processing Society – Łódź Branch (Polskie Towarzystwo Informatyczne – Oddział Łódzki).