Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation

DOI10.1090/tpms/1067zbMath1461.35007arXiv1802.04752OpenAlexW2969976661WikidataQ127353865 ScholiaQ127353865MaRDI QIDQ5230213

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Publication date: 21 August 2019

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04752

zbMATH Keywords

Mittag-Leffler functionprobability density functionsMellin-Barnes integralWright functiongeneralized Wright functioncompletely monotone functionsmulti-dimensional diffusion-wave equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fundamental solutions to PDEs (35A08) Fractional derivatives and integrals (26A33) Wave equation (35L05) Distribution theory (60E99) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

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