Open Access
1995/1996 The s-dimensional Hausdorff integral and its physical interpretation
Shusheng Fu
Author Affiliations +
Real Anal. Exchange 21(1): 308-316 (1995/1996).


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.


Download Citation

Shusheng Fu. "The s-dimensional Hausdorff integral and its physical interpretation." Real Anal. Exchange 21 (1) 308 - 316, 1995/1996.


Published: 1995/1996
First available in Project Euclid: 3 July 2012

zbMATH: 0856.26007
MathSciNet: MR1377541

Primary: 26A39 , 51M25
Secondary: 28A75

Keywords: evolution with losses , net Hausdorff derivative , net Hausdorff integral , singular function

Rights: Copyright © 1995 Michigan State University Press

Vol.21 • No. 1 • 1995/1996
Back to Top