On the DNA of Eleven mammals

Fractional calculus (FC) generalizes standard integrals and derivatives to non-integer or even to complex order [Diethelm, 2010], [Kilbas et al., 2006], [Klimek, 2009], [Miller & Ross, 1993], [Oldham & Spanier, 1974], [Podlubny, 1999], [Samko et al., 1993]. During the last decade it was found that FC plays a fundamental role in the modelling of a considerable number of phenomena characterized by long range memory properties [Hilfer, 2000], [Machado et al., 2011], [Magin, 2006], [Mainardi, 2010], [Monje et al., 2010], [Oustaloup, 1991], [Sabatier et al., 2007], [Zaslavsky, 2005]. In fact, FC emerged as the the key concept for the study of dynamical systems where classical tools reveals strong limitations. Due to this state of affairs we verify that presently the application of FC concepts encompass a wide spectrum of fields going from physics [Baleanu