Short Course I
Introduction to Fractional Calculus
The University of Campinas
In this short course we will study the fundamentals of Fractional Calculus, starting from the gamma, beta and Mittag-Leffler functions up to Riemann-Liouville and Caputo fractional derivatives.
Aula 1: https://www.youtube.com/watch?v=syIkWvJ_n70
Aula 2: https://www.youtube.com/watch?v=_bZvk3QY8TE
Short Course II
Fractional calculus of variations and otimal control
Prof. Dr. Gastão S. Ferreira Frederico
Federal University of Ceará
In this mini-course, we will discuss the classic problems of calculus of variations and optimal control using fractional derivatives. We will start with a short introduction to fractional calculus, and then we will introduce the fundamental problems of calculus of variations and optimal control in the Lagrange form to obtain the necessary conditions for the first variation.
Aula 1: https://www.youtube.com/watch?v=krKscVuzVMo
Aula 2: https://www.youtube.com/watch?v=TpAzzXT1HXQ
Aula 3: https://www.youtube.com/watch?v=nU5n9cSwmvk