We construct Holtsmark distributions of nonstationary fluctuations of the local interactions of moving objects for a system in which the action of gravitation influence is governed by a power law. We deduce a pseudodifferential equation with Riesz operator of fractional differentiation corresponding to this process. We also clarify the general nature of stable symmetric Lévy random processes.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 1, pp. 69–76, January, 2021. Ukrainian DOI: 10.37863/umzh.v73i1.6113.
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Litovchenko, V.A. Holtsmark Fluctuations of Nonstationary Gravitational Fields. Ukr Math J 73, 76–84 (2021). https://doi.org/10.1007/s11253-021-01909-y
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DOI: https://doi.org/10.1007/s11253-021-01909-y