Geometric interpretation of the fractional derivative. (English) Zbl 0907.26005

Ben Adda, Fayçal

J. Fractional Calc. 11, 21-51 (1997).

Several definitions of fractional calculus, integration and differentiation of arbitrary order, have been given by various authors. The present author considers the definitions given by Nishimoto, Osler, and the so-called Riemann-Liouville definition. He gives a geometric interpretation of the argument and module of fractional derivative of order \(\alpha\in]0, 1]\).

Reviewer: S.L.Kalla (Kuwait)

MSC:

26A33

Fractional derivatives and integrals

Keywords:

fractional calculus; fractional derivative