Publication Cover
Applicable Analysis
An International Journal
Volume 42, 1991 - Issue 1-4
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Original Articles

Fractional powers of the retarded potential

Pages 145-155 | Received 01 Dec 1990, Published online: 10 May 2007
 

Abstract

The Fréchet space fractional power theory developed in Schiavone1 is applied to the retarded potential associated with the three (space)–dimensional wave equation. It is shown that the powers obtained coincide with the corresponding Riesz fractional integral. Standard properties of the fractional integral are deduced from the fractional power theory. An indication of how the techniques developed here may be extended to higher dimensional fractional integrals is given.

AMS(MOS)::

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