Fractional Derivatives and Physical Applications : Grunwald-Letnikov, Riemann-Liouville, Caputo's Definitions and some physical applications

This work is devoted to integrals and derivatives of arbitrary order and applications of the described methods in various fields. This study intends to increase the accessibility of fractional calculus by combining an introduction to the mathematics with a review of selected recent applications in physics. It is described general definitions of fractional derivatives. This definitions are compared with their advantages and disadvantages. Fractional calculus concerns the generalization of differentiation and integration to non integer orders.