The Caputo Derivative And The Infinite State Approach

This paper presents the interpretation of the Caputo derivative with the help of the infinite state approach, also known as the fractional integrator approach. After presentation of the modified Laplace transform equations, definition of state variables is discussed, as well as its application to the characterization of fractional system energy. Then, the infinite state approach is used to invalidate system simulation based on usual Caputo's initial conditions.