Fractional integral and differential equations for a class of Levy-type probability densities
- 21 July 1990
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 23 (14) , L697S-L700S
- https://doi.org/10.1088/0305-4470/23/14/001
Abstract
An application of the fractional calculus to a class of Levy distribution functions leads to the conclusion that the Levy index (fractal dimension) mu is identical to the order of the fractional Liouville-Riemann integral operator. The corresponding fractional integral and differential equations are presented and solutions of Levy-type, one-sided probability densities are given and discussed.Keywords
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