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Dynamical systems arising in engineering and science are often subject to random influences ("noise").The noisy processes may be Gaussian or non-Gaussian, which are modeled by Brownian motion or α-stable Levy motion, respectively.Non-Gaussianity of the noise manifests as nonlocality at a "macroscopic" level.Stochastic partial/ordinary differential equations with Brownian motion or Levy motion are appropriate models for these systems.