Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions

نویسندگان

  • Xin Liang
  • Yu-Gui Yang
  • Feng Gao
  • Xiaojun Yang
  • Yi Xue
چکیده

In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time. The series solutions of the general fractional advection-dispersion equations are obtained with the aid of the Laplace transform. The results are given to demonstrate the efficiency of the proposed formulations to describe the anomalous advection dispersion processes.

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عنوان ژورنال:
  • Entropy

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2018