Starts 5 Jul 2019 16:00
Ends 5 Jul 2019 17:00
Central European Time
Abstract:

We give a new definition of fractional derivative and fractional integral. The form of the definition shows that it is the most natural definition, and the most fruitful one. The definition for 0 < \alpha < 1 coincides with the classical definitions on polynomials (up to a constant).

Further, if \alpha = 1, the definition coincides with the classical definition of first derivative. We give some applications to fractional differential equations.