Literature DB >> 24872598

STOCHASTIC INTEGRATION FOR TEMPERED FRACTIONAL BROWNIAN MOTION.

Mark M Meerschaert1, Farzad Sabzikar2.   

Abstract

Tempered fractional Brownian motion is obtained when the power law kernel in the moving average representation of a fractional Brownian motion is multiplied by an exponential tempering factor. This paper develops the theory of stochastic integrals for tempered fractional Brownian motion. Along the way, we develop some basic results on tempered fractional calculus.

Entities:  

Year:  2014        PMID: 24872598      PMCID: PMC4032818          DOI: 10.1016/j.spa.2014.03.002

Source DB:  PubMed          Journal:  Stoch Process Their Appl        ISSN: 0304-4149            Impact factor:   1.467


  1 in total

1.  Fluid limit of the continuous-time random walk with general Lévy jump distribution functions.

Authors:  A Cartea; D del-Castillo-Negrete
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2007-10-03
  1 in total
  1 in total

1.  TEMPERED FRACTIONAL CALCULUS.

Authors:  Mark M Meerschaert; Farzad Sabzikar; Jinghua Chen
Journal:  J Comput Phys       Date:  2015-07-15       Impact factor: 3.553

  1 in total

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