Weak and Strong points of the use of different kind of Fractional
Derivatives to modeling the dynamics of anomalous processes
Juan J. Trujillo
Universidad de La Laguna
Departamento de Análisis Matemática
[email protected]
ABSTRACT:
It is well knows that exist a set of different Fractional Operators that can be used
to model the dynamics of a number of Complex Systems. It also is easy to check
that many branches of the Applied Sciences have find application to the Fractional
Models. Here we will present some of the more known Fractional Operators and
remark some of its properties, with the objective to point out the importance of the
basics properties of such operators in connection with the Applied Problem that
one would like to Model. As special case, we will illustrate such fact with a simple
example in connection with some sub and/or super-diffusion fractional models.
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