Riemann-Liouville and Caputo Fractional Derivatives Fractional Calculus Linear Viscoelastic Materials 26A33
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 10, No 2, (2007), 123p-126p
In the process of constructing empirical mathematical models of physical phenomena using the fractional calculus, investigators are usually faced with the choice of which definition of the fractional derivative to use, the
Riemann-Liouville definition or the Caputo definition. This investigation
presents the case that, with some minimal restrictions, the two definitions
produce completely equivalent mathematical models of the linear viscoelastic phenomenon.