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Time fractional advection-dispersion equation

  • F. LiuEmail author
  • V. V. Anh
  • I. Turner
  • P. Zhuang
Article

Abstract

A time fractional advection-dispersion equation is obtained from the standard advection-dispersion equation by replacing the firstorder derivative in time by a fractional derivative in time of order α(0<α<-1). Using variable transformation, Mellin and Laplace transforms, and properties of H-functions, we derive the complete solution of this time fractional advection-dispersion equation.

AMS Mathematics Subject Classification

26A33 49K20 44A10 

Key words and phrases

time fractional advection-dispersion equation Mellin transform Laplace transform 

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Copyright information

© Korean Society for Computational and Applied Mathematics 2003

Authors and Affiliations

  1. 1.Department of MathematicsXiamen UniversityXiamenChina
  2. 2.School of Mathematical SciencesQueensland University of TechnologyAustralia

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