TY - JOUR
AU - V. A. Litovchenko
PY - 2021/01/22
Y2 - 2022/08/09
TI - Holtsmark fluctuations of non-stationary gravitational fields
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 73
IS - 1
SE - Research articles
DO - 10.37863/umzh.v73i1.6113
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/6113
AB - UDC 517.937, 519.21We construct the Holtsmark distributions of non-stationary fluctuations of local interaction of moving objects in a system where the gravitational influence is governed by a power law. We find a pseudodifferential equation with a Riesz operator of fractional differentiation corresponding to this process. We also elucidate the general nature of stable symmetric random Levy processes.
ER -