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W. Chen, H. G. Sun, X. D. Zhang and D. KoroSak, “Anomalous Diffusion Modeling by Fractal and Fractional Derivatives,” Computers and Mathematics with Applications, Vol. 59, No. 5, 2010, pp. 1754-1758. doi:10.1016/j.camwa.2009.08.020

has been cited by the following article:

• TITLE: Fractal and Fractional Diffusion Equations of Price Changing of Commodity

  AUTHORS: Tianquan Yun

  KEYWORDS: Fractal Derivative; Fractional Derivative; Heat Diffusion Equation: Order of Commodity; Time-Space Exchange

  JOURNAL NAME: Applied Mathematics, Vol.4 No.7A, July 5, 2013

  ABSTRACT: In this paper, three types of modeling of diffusion equations for price changing of commodity are studied. In which, the partial derivatives of price of commodity respected to time on the left hand side are integer-derivative, fractal derivative, and fractional derivative respectively; while just a second order derivative respected to space is considered on the right hand side. The solutions of these diffusion equations are obtained by method of departing variables and initial boundary conditions, by translation of variables, and by translation of operators. The definitions of order of commodity x and the distance between commodityxi and xj are defined as [1]. Examples of calculation of price of pork, beef and mutton mainly due to price raising of pork in 2007-07 to 2008-02 inChina are given with same market data as [1]. Conclusion is made.