Real Analysis Exchange

The s-dimensional Hausdorff integral and its physical interpretation

Shusheng Fu

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A relationship between the \(s\)-dimensional Hausdorff integral and the evolution with losses is established. Professor R. R. Nigmatullin showed that the evolution with loss can be described by a non-integer integral. This paper gives another way to describe the evolution. That is, the evolution can be expressed as Hausdorff integral.

Article information

Real Anal. Exchange, Volume 21, Number 1 (1995), 308-316.

First available in Project Euclid: 3 July 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A39: Denjoy and Perron integrals, other special integrals 51M25: Length, area and volume [See also 26B15]
Secondary: 28A75: Length, area, volume, other geometric measure theory [See also 26B15, 49Q15]

net Hausdorff derivative net Hausdorff integral singular function evolution with losses


Fu, Shusheng. The s -dimensional Hausdorff integral and its physical interpretation. Real Anal. Exchange 21 (1995), no. 1, 308--316.

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