The Analysis Solutions for Two-Dimensional Fractional Diffusion Equations with Variable Coefficients
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 5, Issue 1
Abstract
This paper deals with a fractional diffusion equation with variable coefficients developed by a non-local method with temporal and spatial correlations. The time-fractional derivative is described in the Caputo sense while the space-fractional derivatives are described in the Riemann-Liouville sense. The variational iteration method is used to derive the solutions. Two examples are given to demonstrate the validity of the method.
Authors and Affiliations
Yaqing Liu , Fenglai Zong , Liancun Zheng
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