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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.
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,...
This paper presents a comparative study of axial resolution of ultrasound system with waves generated by coded excitation pulse and conventional pulses both interacting with computational phantoms producing A-line and B-mode images. The mathematical phantoms were generated as two impulse reflectors positioned at 10 mm (first reflector) and at 10.9 mm (second reflector). The second reflector was moved...
Fourteen goat populations were studied regarding their genetic relationship and structure. Parameters of genetic diversity (HT, HS and GST) and F statistic (FIS, FIT and FST) were estimated. Undefined breed populations presented high homogeneity, as did imported breed populations. Naturalized breed populations showed high differentiation. The genetic distances separating these 14 goat populations...
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