A two-sided fractional conservation of mass equation

Jeffrey S. Olsen,Jeff Mortensen,Aleksey S. Telyakovskiy

Advances in Water Resources（2016）

引用 10|浏览3

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摘要

•Derivation of the two-sided fractional conservation of mass equation using Mean Value Theorems for fractional derivatives.•Explanation of the structure of the fractional derivatives appearing in the derivation of fractional conservation of mass equation when Taylor series is used.•Derivation of the right fractional Taylor series based on the Caputo derivatives.•Showing the steps in the derivation of the corresponding fractional advection-dispersion equation.

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关键词

Fractional calculus,Ground water,Conservation of mass,Caputo fractional derivative,Local fractional derivative

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