After almost fifty years of struggle to become all over the world a recognized mathematical tool, the fractional calculus has found its place in various application domains. Here, we can mention technical, biological, economical sciences but first of all one should allude mathematics and physics. The beginning of the fractional calculus is dated on September 30, 1695, by a letter of Gottfried Leibnitz to Guillaume de l’Hôpital. Then the fractional calculus was a subject of interest of such mathematicians as Isaac Newton, Leonhard Euler, Joseph-Louis Lagrange, Joseph Fourier, Pierre-Simon Laplace, Joseph Liouville, Anton Grünvald, Karl Weierstrass, Oliver Heaviside, Magnus Mittag-Leffler. Since over forty years, the fractional calculus has been developing rapidly. This is probably due to the availability of computer calculations. Yet there are still scientific centers and scientists skeptically and actively criticizing the applicability of the fractional calculus. So it is worth to break through the scientific and technological walls. Because the “fractional community” grows rapidly, there is a great need for the scientific results’ exchange.