JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (10): 89-94.doi: 10.6040/j.issn.1671-9352.0.2014.371

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Analytical solutions for the multi-term time-space Caputo-Riesz fractional diffusion equations in 2-D and 3-D

WANG Xue-bin   

  1. Department of Mathematics and Computer, Wuyi University, Wuyishan 354300, Fujian, China
  • Received:2014-08-13 Revised:2015-03-06 Online:2015-10-20 Published:2015-10-21

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Abstract: In this paper, the multi-term time-space Caputo-Riesz fractional Diffusion equations (MT-TSCR-FDE) in 2-D and 3-D with Dirichlet nonhomogeneous boundary conditions are considered. By using a spectral representation we propose some new technique that enable the derivation of the analytical solutions for the MT-TSCR-FDE.

Key words: multivariate Mittag-Leffler function, Fractional Laplacian operator, Caputo-Riesz fractional diffusion equations

CLC Number: 

  • O175.2
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