Real Analysis Exchange
- Real Anal. Exchange
- Volume 21, Number 1 (1995), 308-316.
The s-dimensional Hausdorff integral and its physical interpretation
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.
Real Anal. Exchange, Volume 21, Number 1 (1995), 308-316.
First available in Project Euclid: 3 July 2012
Permanent link to this document
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]
Fu, Shusheng. The s -dimensional Hausdorff integral and its physical interpretation. Real Anal. Exchange 21 (1995), no. 1, 308--316. https://projecteuclid.org/euclid.rae/1341343247