Fractional-In-Time and Multifractional-In-Space Stochastic Partial Differential Equations

被引：0
|
作者：
Vo V. Anh
Nikolai N. Leonenko
María D. Ruiz-Medina
机构：
[1] School of Math. Sciences GPO Box 2434,Queensland Univ. of Technology
[2] Cardiff University,Faculty of Sciences C/ Fuente Nueva s/n
[3] University of Granada,undefined
来源：
Fractional Calculus and Applied Analysis | 2016年 / 19卷
关键词：
Primary 60G60; 60G15; 60G22; Secondary 60G20; 60G17; 60G12; Caputo-Djrbashian fractional-in-time derivative; elliptic pseudodifferential operator of variable order; Gaussian spatiotemporal white noise measure; Mittag-Leffler function; spatiotemporal Hölder continuity;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper derives the weak-sense Gaussian solution to a family of fractional-in-time and multifractional-in-space stochastic partial differential equations, driven by fractional-integrated-in-time spatiotemporal white noise. Some fundamental results on the theory of pseudodifferential operators of variable order, and on the Mittag-Leffler function are applied to obtain the temporal, spatial and spatiotemporal Hölder continuity, in the mean-square sense, of the derived solution.
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页码：1434 / 1459
页数：25
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