In this section you can see my introductory notes on Fractional Calculus. You can also download them in pdf format at the downloads section.
Our understanding of Nature relies on calculus, which in turn relies on the intuitive concept of the derivative. It's descriptive power comes from the fact that it analyses the behavior at scales small enough that its properties change linearly, so avoiding complexities that arise at larger ones. Fractional Calculus generalizes this concept from integer to noninteger order. Despite it seems not to have significant applications in fundamental physics, research on this core concept could be valuable in understanding Nature. These notes comprise an introduction to the field.
 Introduction
 Exponentials
 Powers
 Binomial Formula
 Functions of the Derivative
 GrunwaldLetnikov Derivative
 RiemannLiouville Derivative
 Domain Transforms
 Convolution
 Cauchy Integral Formula
 Properties
 Local Operators
