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On the potential in non‐Gaussian chain polymer models
Author(s) -
Bock Wolfgang,
Silva José Luís,
Streit Ludwig
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5864
Subject(s) - mathematics , fractional brownian motion , brownian motion , connection (principal bundle) , gaussian , diffusion process , mathematical analysis , brownian excursion , gaussian process , class (philosophy) , statistical physics , partial differential equation , geometric brownian motion , mathematical physics , geometry , physics , statistics , quantum mechanics , knowledge management , innovation diffusion , artificial intelligence , computer science
In this paper, we investigate the potential for a class of non‐Gaussian processes so‐called generalized grey Brownian motion. We obtain a closed analytic form for the potential as an integral of the M ‐Wright functions and the Green function. In particular, we recover the special cases of Brownian motion and fractional Brownian motion. In addition, we give the connection to a fractional partial differential equation and its the fundamental solution.