The Role of the Mittag-Leffler Function in Fractional Modeling

Abstract

This is a survey paper illuminating the distinguished role of the Mittag-Leffler function and its generalizations in fractional analysis and fractional modeling. The content of the paper is connected to the recently published monograph by Rudolf Gorenflo, Anatoly Kilbas, Francesco Mainardi and Sergei Rogosin.

Keywords

• Mittag-Leffler function
• fractional integrals and derivatives
• fractional equations
• fractional modeling