The Continuous Time Random Walk and the Finite Difference Method for the Space Time Fractional Diffusion Equations

Abdel-Rehim Ea
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Abdel-Rehim Ea: Department of Mathematics and Computer Science, Suez Canal University, Egypt

Biostatistics and Biometrics Open Access Journal, 2017, vol. 3, issue 3, 76-84

Abstract: The space fractional diffusion equations are a linear partial pseudo-differential equation with spatial fractional derivatives in space. This equation arises when the motion of the particle is not Brownian and there are extremely long jumps whose length is distributed according to the Lévy long tail Some physical, biological and chemical models exhibit a power law with a non integer frequency of order.

Keywords: Biometrics Open Access Journal; Biostatistics and Biometrics; Biostatistics and Biometrics Open Access Journal; Open Access Journals; biometrics journal; biometrics articles; biometrics journal reference; biometrics journal impact factor; biometrics and biostatistics journal impact factor; journal of biometrics; open access juniper publishers; juniper publishers reivew (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:adp:jbboaj:v:3:y:2017:i:3:p:76-84

DOI: 10.19080/BBOAJ.2017.03.555615

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