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Fractional Calculus and Applied Analysis

, Volume 17, Issue 2, pp 361–370 | Cite as

Towards a geometric interpretation of generalized fractional integrals — Erdélyi-Kober type integrals on R N , as an example

  • Richard Herrmann
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Abstract

A family of generalized Erdélyi-Kober type fractional integrals is interpreted geometrically as a distortion of the rotationally invariant integral kernel of the Riesz fractional integral in terms of generalized Cassini ovaloids on R N . Based on this geometric point of view, several extensions are discussed.

Key Words and Phrases

fractional calculus Riesz fractional integrals Erdélyi-Kober fractional integrals generalized fractional calculus Cassini ovaloids 

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Copyright information

© Versita Warsaw and Springer-Verlag Wien 2014

Authors and Affiliations

  1. 1.GigaHedronDreieichGermany

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