Fractional-in-time and multifractional-in-space stochastic partial differential equations

DOI10.1515/fca-2016-0074zbMath1355.60082OpenAlexW2563677814MaRDI QIDQ501520

María D. Ruiz-Medina, Nikolai N. Leonenko, V. V. Anh

Publication date: 9 January 2017

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: http://orca.cf.ac.uk/96941/1/FCAA_ALRM_16_1.pdf

zbMATH Keywords

Mittag-Leffler functionstochastic partial differential equationsHölder continuityCaputo-Djrbashian fractional derivativeelliptic pseudodifferential operatorGaussian white noise measure

Mathematics Subject Classification ID

Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) General second-order stochastic processes (60G12) Pseudodifferential operators as generalizations of partial differential operators (35S05) Fractional derivatives and integrals (26A33) Sample path properties (60G17) Generalized stochastic processes (60G20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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