Wick type SDEs driven by grey Brownian motion

被引:4
作者
Bock, Wolfgang [1 ]
da Silva, Jose Luis [2 ]
机构
[1] Tech Univ Kaiserslautern, POB 3049, D-67653 Kaiserslautern, Germany
[2] Univ Madeira, CIMA, Campus Penteada, P-9020105 Funchal, Portugal
来源
STRUCTURE, FUNCTION AND DYNAMICS FROM NM TO GM | 2017年 / 1871卷
关键词
D O I
10.1063/1.4996514
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We derive solutions of the Ornstein-Uhlenbeck and of a linear Wick-type stochastic differential equation (SDE) driven by grey Brownian motion. The solutions are characterized to be in a suitable distribution space.
引用
收藏
页数:9
相关论文
共 15 条
  • [1] AGARWAL RP, 1953, CR HEBD ACAD SCI, V236, P2031
  • [2] [Anonymous], 1992, IDEAS METHODS MATH A
  • [3] [Anonymous], 1904, REND R ACC LINCEI
  • [4] [Anonymous], 2006, Journal of the Electrochemical Society
  • [5] Berezansky Y.M., 1995, SPECTRAL METHODS INF, V1
  • [6] Mittag-Leffler analysis II: Application to the fractional heat equation
    Grothaus, M.
    Jahnert, F.
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (07) : 2732 - 2768
  • [7] Mittag-Leffler analysis I: Construction and characterization
    Grothaus, M.
    Jahnert, F.
    Riemann, F.
    da Silva, J. L.
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 268 (07) : 1876 - 1903
  • [8] Holden H., 2010, STOCH PARTIAL DIFFER, P311
  • [9] Kondratiev Y.G., 1998, Hiroshima Math. J, V28, P213
  • [10] Kondratiev YG, 1996, ACTA APPL MATH, V44, P269