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- W2186346247 abstract "A fractional version of the heat equation, involvingfractional powers of the neg ative Laplacian operator, with random initial conditions of exponential type, is introduced. Two cases are considered, dependingon whether the Hopf–Cole transformation of such random initial conditions coincides, in the mean-square sense, with the gradient of the fractional Riesz–Bessel motion introduced in Anh et al. (J. Statist. Plann. Inference 80 (1999) 95 –110), or with a quadratic function of such a random 7eld. The scalinglimits of the random 7elds de7ned by the Hopf– Cole transformation of the solutions to the fractional heat equation introduced in the two cases considered are then calculated via their spectral representations. c 2001 Elsevier Science B.V. All rights reserved. MSC: 60G60; 60G12" @default.
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- W2186346247 date "2001-01-01" @default.
- W2186346247 modified "2023-09-25" @default.
- W2186346247 title "Scalinglimit solution of a fractional Burg ers equation" @default.
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