Original scientific paper

Scaling laws for fractional Volterra equations with chi-square random data

V. V. Anh
N. N. Leonenko
O. O. Melnikova

Abstract

This paper presents Gaussian and non-Gaussian scenarios for the renormalized solutions of fractional integro-differential equations of Volterra type. The solutions are obtained under random initial conditions which are subordinated to chi-square random fields with weak or strong dependence.

Keywords

fractional integro-differential equation; fractional diffusion-wave equation; chi-square subordination; Mittag-Leffler function; spectral representation; long-range dependence

Hrčak ID:

774

URI

https://hrcak.srce.hr/774

Publication date:

17.12.2002.

Visits: 1.560 *