Abstract

By using the result of the time-fractional diffusion equation that presented a self-similar non-Markovian stochastic process, this paper proposes that some views on the relationship between weather and climate on the basis of the observational data from Beijing and Jinan: weather could be interpreted as the white noise, and the fractional derivative of order q of climate (0≤ q ≤ 1) is Weather. Further to analyze the climatic discrete models, which is in conjunction with the persistence of time series, it is found that good memory of a climate time series, and long-tail of probability density function.

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