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