Stochastic fractional-order differential models with fractal boundary conditions
A class of stochastic fractional-order differential models with homogeneous boundary conditions on a fractal set is introduced. The corresponding solution class satisfies a weak-sense Markov condition with respect to domains with fractal boundary. Some examples are given which provide a stochastic version of fractal drums.
Year of publication: |
2001
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Authors: | Ruiz-Medina, M. D. ; Anh, V. V. ; Angulo, J. M. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 54.2001, 1, p. 47-60
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Publisher: |
Elsevier |
Keywords: | Duality condition Compact fractal d-set Stochastic fractional-order differential model Weak-sense Markov property |
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