The Analysis Solutions for Two-Dimensional Fractional Diffusion Equations with Variable Coefficients

Yaqing Liu; Fenglai Zong; Liancun Zheng

doi:https://doi.org/10.14445/22315373/IJMTT-V5P523

International Journal of Mathematics Trends and Technology

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Volume 5 | Number 1 | Year 2014 | Article Id. IJMTT-V5P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V5P523

The Analysis Solutions for Two-Dimensional Fractional Diffusion Equations with Variable Coefficients

Yaqing Liu , Fenglai Zong , Liancun Zheng

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.

Keywords

Variational iteration method, Fractional differential equation, Caputo derivative, Diffusion equation.

References

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Citation :

Yaqing Liu , Fenglai Zong , Liancun Zheng, "The Analysis Solutions for Two-Dimensional Fractional Diffusion Equations with Variable Coefficients," International Journal of Mathematics Trends and Technology (IJMTT), vol. 5, no. 1, pp. 60-66, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V5P523